| Artigo em revista |
- Meriem Chabekh; Nadhir Chougui; Delfim F.M. Torres. "Analysis of a Shear beam model with suspenders in thermoelasticity of
type III". Journal of Computational and Applied Mathematics (2025): https://doi.org/10.1016/j.cam.2024.116471.
10.1016/j.cam.2024.116471
- Ilyasse Lamrani; Hanaa Zitane; Delfim F.M. Torres. "Controllability and observability of tempered fractional differential
systems". Communications in Nonlinear Science and Numerical Simulation (2025): https://doi.org/10.1016/j.cnsns.2024.108501.
10.1016/j.cnsns.2024.108501
- Amar N. Chatterjee; Teklebirhan Abraha; Fahad Al Basir; Delfim F. M. Torres. "A model for the dynamics of COVID-19 infection
transmission in human with latent delay". Afrika Matematika (2025): https://doi.org/10.1007/s13370-024-01226-0.
10.1007/s13370-024-01226-0
- Moein Khalighi; Leo Lahti; Faïçal Ndaïrou; Peter Rashkov; Delfim F.M. Torres. "Fractional modelling of COVID-19 transmission
incorporating asymptomatic and super-spreader individuals". Mathematical Biosciences (2025): https://doi.org/10.1016/j.mbs.2024.109373.
10.1016/j.mbs.2024.109373
- Márcia Lemos-Silva; Sandra Vaz; Delfim F.M. Torres. "Exact solution for a discrete-time SIR model". Applied Numerical Mathematics
(2025): https://doi.org/10.1016/j.apnum.2024.09.014.
10.1016/j.apnum.2024.09.014
- Lemos-Silva, Márcia; Vaz, Sandra; Torres, Delfim F.M.. "Exact solution for a discrete-time SIR model". (2025): http://hdl.handle.net/10773/42576.
10.1016/j.apnum.2024.09.014
- Chabekh, Meriem; Chougui, Nadhir; Torres, Delfim F.M.. "Analysis of a Shear beam model with suspenders in thermoelasticity
of type III". (2025): http://hdl.handle.net/10773/43698.
10.1016/j.cam.2024.116471
- Chatterjee, Amar N.; Abraha, Teklebirhan; Al Basir, Fahad; Torres, Delfim F. M.. "A model for the dynamics of COVID-19 infection
transmission in human with latent delay". (2025): http://hdl.handle.net/10773/43700.
10.1007/s13370-024-01226-0
- Khalighi, Moein; Lahti, Leo; Ndaïrou, Faïçal; Rashkov, Peter; Torres, Delfim F. M.. "Fractional modelling of COVID-19 transmission
incorporating asymptomatic and super-spreader individuals". (2025): http://hdl.handle.net/10773/43699.
10.1016/j.mbs.2024.109373
- Lamrani, Ilyasse; Zitane, Hanaa; Torres, Delfim F. M.. "Controllability and observability of tempered fractional differential
systems". (2025): http://hdl.handle.net/10773/43424.
10.1016/j.cnsns.2024.108501
- Mfano Charles; Sayoki G. Mfinanga; G.A. Lyakurwa; Delfim F.M. Torres; Verdiana G. Masanja. "Parameters estimation and uncertainty
assessment in the transmission dynamics of rabies in humans and dogs". Chaos, Solitons & Fractals (2024): https://doi.org/10.1016/j.chaos.2024.115633.
10.1016/j.chaos.2024.115633
- Dilara Yapiskan; Cristiana J. Silva; Delfim F. M. Torres. "Optimal Control of Microcephaly Under Vertical Transmission of
Zika". Axioms (2024): https://doi.org/10.3390/axioms13110772.
10.3390/axioms13110772
- Marco P. Soares dos Santos; Rodrigo M.C. Bernardo; JoãoV. Vidal; Ana Moreira; Delfim F.M. Torres; Carlos A.R. Herdeiro; Hélder
A. Santos; Gil Gonçalves. "Next-generation chemotherapy treatments based on black hole algorithms: From cancer remission to
chronic disease management". Computers in Biology and Medicine (2024): https://doi.org/10.1016/j.compbiomed.2024.108961.
10.1016/j.compbiomed.2024.108961
- Meriem Boukhobza; Amar Debbouche; Lingeshwaran Shangerganesh; Delfim F.M. Torres. "Modeling the dynamics of the Hepatitis
B virus via a variable-order discrete system". Chaos, Solitons & Fractals (2024): https://doi.org/10.1016/j.chaos.2024.114987.
10.1016/j.chaos.2024.114987
- Om Kalthoum Wanassi; Delfim F. M. Torres. "Modeling blood alcohol concentration using fractional differential equations based
on the ¿-Caputo derivative". Mathematical Methods in the Applied Sciences (2024): https://doi.org/10.1002/mma.10002.
10.1002/mma.10002
- Delfim F. M. Torres. "The Duality Theory of Fractional Calculus and a New Fractional Calculus of Variations Involving Left
Operators Only". Mediterranean Journal of Mathematics (2024): https://doi.org/10.1007/s00009-024-02652-x.
10.1007/s00009-024-02652-x
- Tanzeela Kanwal; Azhar Hussain; Ibrahim Avci; Sina Etemad; Shahram Rezapour; Delfim F.M. Torres. "Dynamics of a model of polluted
lakes via fractal–fractional operators with two different numerical algorithms". Chaos, Solitons & Fractals (2024):
https://doi.org/10.1016/j.chaos.2024.114653.
10.1016/j.chaos.2024.114653
- Houssine Zine; El Mehdi Lotfi; Delfim F.M. Torres; Noura Yousfi. "A necessary optimality condition for extended weighted generalized
fractional optimal control problems". Results in Control and Optimization (2024): https://doi.org/10.1016/j.rico.2023.100356.
10.1016/j.rico.2023.100356
- Besma Fadlia; Mohamed Dalah; Delfim F. M. Torres. "Existence and Uniqueness of Weak Solutions to Frictionless-Antiplane Contact
Problems". Mathematics (2024): https://doi.org/10.3390/math12030434.
10.3390/math12030434
- Hanaa Zitane; Delfim F.M. Torres. "A class of fractional differential equations via power non-local and non-singular kernels:
Existence, uniqueness and numerical approximations". Physica D: Nonlinear Phenomena (2024): https://doi.org/10.1016/j.physd.2023.133951.
10.1016/j.physd.2023.133951
- Asmae Tajani; Fatima-Zahrae El Alaoui; Delfim F.M. Torres. "Boundary controllability of Riemann–Liouville fractional semilinear
equations". Communications in Nonlinear Science and Numerical Simulation (2024): https://doi.org/10.1016/j.cnsns.2023.107814.
10.1016/j.cnsns.2023.107814
- Yapiskan, Dilara; Silva, Cristiana J.; Torres, Delfim F. M.. "Optimal Control of Microcephaly Under Vertical Transmission
of Zika". (2024): http://hdl.handle.net/10773/43261.
10.3390/axioms13110772
- Esmaili, Sakine; Eslahchi, M. R.; Torres, Delfim F. M.. "Optimal control for a nonlinear stochastic PDE model of cancer growth".
(2024): http://hdl.handle.net/10773/42400.
10.1080/02331934.2023.2232141
- Wanassi, Om Kalthoum; Torres, Delfim F. M.. "Modeling blood alcohol concentration using fractional differential equations
based on the ¿-Caputo derivative". (2024): http://hdl.handle.net/10773/41994.
10.1002/mma.10002
- Boukhobza, Meriem; Debbouche, Amar; Shangerganesh, Lingeshwaran; Torres, Delfim F.M.. "Modeling the dynamics of the Hepatitis
B virus via a variable-order discrete system". (2024): http://hdl.handle.net/10773/41995.
10.1016/j.chaos.2024.114987
- Borzabadi, Akbar H.; Heidari, Mohammad; Torres, Delfim F. M.. "Alternative views on fuzzy numbers and their application to
fuzzy differential equations". (2024): http://hdl.handle.net/10773/42376.
10.22124/jmm.2024.26277.2325
- Wanassi, Om Kalthoum; Bourguiba, Rim; Torres, Delfim F. M.. "Existence and uniqueness of solution for fractional differential
equations with integral boundary conditions and the Adomian decomposition method". (2024): http://hdl.handle.net/10773/41368.
10.1002/mma.8880
- Belarbi, Zahra; Bayour, Benaoumeur; Torres, Delfim F. M.. "Uniform Stability of Dynamic SICA HIV Transmission Models on Time
Scales". (2024): http://hdl.handle.net/10773/43425.
10.4064/am2521-6-2024
- Tajani, Asmae; El Alaoui, Fatima-Zahrae; Torres, Delfim F. M.. "Boundary Controllability of Riemann-Liouville Fractional Semilinear
Equations". (2024): http://hdl.handle.net/10773/40343.
10.1016/j.cnsns.2023.107814
- Zitane, Hanaa; Torres, Delfim F. M.. "A class of fractional differential equations via power non-local and non-singular kernels:
Existence, uniqueness and numerical approximations". (2024): http://hdl.handle.net/10773/39889.
10.1016/j.physd.2023.133951
- Fadlia, Besma; Dalah, Mohamed; Torres, Delfim F. M.. "Existence and Uniqueness of Weak Solutions to Frictionless-Antiplane
Contact Problems". (2024): http://hdl.handle.net/10773/40509.
10.3390/math12030434
- Torres, Delfim F. M.. "The duality theory of fractional calculus and a new fractional calculus of variations involving left
operators only". (2024): http://hdl.handle.net/10773/41999.
10.1007/s00009-024-02652-x
- Mohamed Abdelaziz Zaitri; Hanaa Zitane; Delfim F.M. Torres. "Pharmacokinetic/Pharmacodynamic anesthesia model incorporating
psi-Caputo fractional derivatives". Computers in Biology and Medicine (2023): https://doi.org/10.1016/j.compbiomed.2023.107679.
10.1016/j.compbiomed.2023.107679
- Hanaa Zitane; Delfim F.M. Torres. "Finite time stability of tempered fractional systems with time delays". Chaos, Solitons
& Fractals (2023): https://doi.org/10.1016/j.chaos.2023.114265.
10.1016/j.chaos.2023.114265
- Hanaa Zitane; Delfim F. M. Torres. "Generalized Taylor’s formula for power fractional derivatives". Boletín de la Sociedad
Matemática Mexicana (2023): https://doi.org/10.1007/s40590-023-00540-0.
10.1007/s40590-023-00540-0
- Amal S. Alali; Shahbaz Ali; Muhammad Adnan; Delfim F. M. Torres. "On Sharp Bounds of Local Fractional Metric Dimension for
Certain Symmetrical Algebraic Structure Graphs". Symmetry (2023): https://doi.org/10.3390/sym15101911.
10.3390/sym15101911
- Faïçal Ndaïrou; Delfim F. M. Torres. "Pontryagin Maximum Principle for Incommensurate Fractional-Orders Optimal Control Problems".
Mathematics (2023): https://doi.org/10.3390/math11194218.
10.3390/math11194218
- Khalid Zguaid; Fatima-Zahrae El Alaoui; Delfim F. M. Torres. "Regional gradient observability for fractional differential
equations with Caputo time-fractional derivatives". International Journal of Dynamics and Control (2023): https://doi.org/10.1007/s40435-022-01106-0.
10.1007/s40435-022-01106-0
- Mohamed A. Zaitri; Cristiana J. Silva; Delfim F. M. Torres. "An Analytic Method to Determine the Optimal Time for the Induction
Phase of Anesthesia". Axioms (2023): https://doi.org/10.3390/axioms12090867.
10.3390/axioms12090867
- José Vanterler da C. Sousa; Daniela S. Oliveira; Gastão S. F. Frederico; Delfim F. M. Torres. "Existence, uniqueness, and
controllability for Hilfer differential equations on times scales". Mathematical Methods in the Applied Sciences (2023):
https://doi.org/10.1002/mma.9183.
10.1002/mma.9183
- Sakine Esmaili; M. R. Eslahchi; Delfim F. M. Torres. "Optimal control for a nonlinear stochastic PDE model of cancer growth".
Optimization (2023): https://doi.org/10.1080/02331934.2023.2232141.
10.1080/02331934.2023.2232141
- Ashish Rayal; Bhagawati Prasad Joshi; Mukesh Pandey; Delfim F. M. Torres. "Numerical Investigation of the Fractional Oscillation
Equations under the Context of Variable Order Caputo Fractional Derivative via Fractional Order Bernstein Wavelets". Mathematics
(2023): https://doi.org/10.3390/math11112503.
10.3390/math11112503
- Fahad Al Basir; Jahangir Chowdhury; Delfim F. M. Torres. "Dynamics of a Double-Impulsive Control Model of Integrated Pest
Management Using Perturbation Methods and Floquet Theory". Axioms (2023): https://doi.org/10.3390/axioms12040391.
10.3390/axioms12040391
- Jaouad Danane; Delfim F. M. Torres. "Three-Species Predator–Prey Stochastic Delayed Model Driven by Lévy Jumps and with Cooperation
among Prey Species". Mathematics (2023): https://doi.org/10.3390/math11071595.
10.3390/math11071595
- Silvério Rosa; Delfim F. M. Torres. "Numerical Fractional Optimal Control of Respiratory Syncytial Virus Infection in Octave/MATLAB".
Mathematics (2023): https://doi.org/10.3390/math11061511.
10.3390/math11061511
- Om Kalthoum Wanassi; Delfim F.M. Torres. "An integral boundary fractional model to the world population growth". Chaos,
Solitons & Fractals (2023): https://doi.org/10.1016/j.chaos.2023.113151.
10.1016/j.chaos.2023.113151
- Naima Hakkar; Rajesh Dhayal; Amar Debbouche; Delfim F. M. Torres. "Approximate Controllability of Delayed Fractional Stochastic
Differential Systems with Mixed Noise and Impulsive Effects". Fractal and Fractional (2023): https://doi.org/10.3390/fractalfract7020104.
10.3390/fractalfract7020104
- Delfim F. M. Torres. "Comment on “Noether’s-type theorems on time scales” [J. Math. Phys. 61, 113502 (2020)]". Journal
of Mathematical Physics (2023): https://doi.org/10.1063/5.0108477.
10.1063/5.0108477
- Bernardo, Rodrigo; Torres, Delfim F. M.; Herdeiro, Carlos; Marco P. Soares dos Santos. "Gravitational attraction-inspired
algorithms applied to control: A review". (2023):
Em revisão
- Rodrigo M. C. Bernardo; Torres, Delfim F. M.; Herdeiro, Carlos; Marco P. Soares dos Santos. "A novel black hole inspired control
method". (2023):
Em revisão
- Choucha, Omar; Amara, Abdelkader; Etemad, Sina; Rezapour, Shahram; Torres, Delfim F. M.; Botmart, Thongchai. "On the Ulam-Hyers-Rassias
stability of two structures of discrete fractional three-point boundary value problems: existence theory". (2023): http://hdl.handle.net/10773/35177.
10.3934/math.2023073
- Sidi Ammi, Moulay Rchid; Dahi, Ibrahim; Hachimi, Abderrahmane El; Torres, Delfim F. M.. "Existence result of the global attractor
for a triply nonlinear thermistor problem". (2023): http://hdl.handle.net/10773/36710.
10.2478/mjpaa-2023-0002
- Touria Karite; Adil Khazari; Delfim F. M. Torres. "Regional Controllability and Minimum Energy Control of Delayed Caputo Fractional-Order
Linear Systems". Mathematics (2022): https://doi.org/10.3390/math10244813.
10.3390/math10244813
- Om Kalthoum Wanassi; Rim Bourguiba; Delfim F. M. Torres. "Existence and uniqueness of solution for fractional differential
equations with integral boundary conditions and the Adomian decomposition method". Mathematical Methods in the Applied
Sciences (2022): https://doi.org/10.1002/mma.8880.
10.1002/mma.8880
- EL MEHDI LOTFI; Houssine Zine; Delfim F. M. Torres; YOUSFI Noura. "The Power Fractional Calculus: First Definitions and Properties
with Applications to Power Fractional Differential Equations". Mathematics (2022): https://www.mdpi.com/2227-7390/10/19/3594.
10.3390/math10193594
- Mohamed A. Zaitri; Cristiana J. Silva; Delfim F. M. Torres. "Stability Analysis of Delayed COVID-19 Models". Axioms
(2022): https://doi.org/10.3390/axioms11080400.
10.3390/axioms11080400
- Amar Chidouh; Rahima Atmania; Delfim F. M. Torres. "Study of a Fractional Creep Problem with Multiple Delays in Terms of Boltzmann’s
Superposition Principle". Fractal and Fractional (2022): https://doi.org/10.3390/fractalfract6080434.
10.3390/fractalfract6080434
- Zoubida Ech-chaffani; Ahmed Aberqi; Touria Karite; Delfim F. M. Torres. "Minimum Energy Problem in the Sense of Caputo for
Fractional Neutral Evolution Systems in Banach Spaces". Axioms (2022): https://doi.org/10.3390/axioms11080379.
10.3390/axioms11080379
- Djalal Boucenna; Amar Chidouh; Delfim F. M. Torres. "Existence Results for a Multipoint Fractional Boundary Value Problem
in the Fractional Derivative Banach Space". Axioms 11 6 (2022): 295-295. https://doi.org/10.3390/axioms11060295.
10.3390/axioms11060295
- Houssine Zine; El Mehdi Lotfi; Delfim F. M. Torres; Noura Yousfi. "Taylor’s Formula for Generalized Weighted Fractional Derivatives
with Nonsingular Kernels". Axioms 11 5 (2022): 231-231. https://doi.org/10.3390/axioms11050231.
10.3390/axioms11050231
- Silvério Rosa; Delfim F. M. Torres. "Fractional Modelling and Optimal Control of COVID-19 Transmission in Portugal". Axioms
11 4 (2022): 170-170. https://doi.org/10.3390/axioms11040170.
10.3390/axioms11040170
- Houssine Zine; EL MEHDI LOTFI; Delfim F. M. Torres; YOUSFI Noura. "Weighted Generalized Fractional Integration by Parts and
the Euler–Lagrange Equation". Axioms (2022): https://www.mdpi.com/2075-1680/11/4/178.
10.3390/axioms11040178
- Ana P. Lemos-Paião; Vitaly Volpert; Helmut Maurer; Cristiana J. Silva; Delfim F. M. Torres. "A SIQRB delayed model for cholera
and optimal control treatment". Mathematical Modelling of Natural Phenomena (2022): https://doi.org/10.1051/mmnp/2022027.
10.1051/mmnp/2022027
- Zine, Houssine; El Adraoui, Abderrahim; Torres, Delfim F. M.. "Mathematical analysis, forecasting and optimal control of HIV/AIDS
spatiotemporal transmission with a reaction diffusion SICA model". (2022): http://hdl.handle.net/10773/34455.
10.3934/math.2022904
- Ammi, Moulay Rchid Sidi; Tahiri, Mostafa; Torres, Delfim F. M.. "Necessary optimality conditions of a reaction-diffusion SIR
model with ABC fractional derivatives". (2022): http://hdl.handle.net/10773/33017.
10.3934/dcdss.2021155
- Zine, Houssine; Torres, Delfim F. M.. "Near-optimal control of a stochastic SICA model with imprecise parameters". (2022):
http://hdl.handle.net/10773/35480.
10.23952/cot.2022.27
- Allali, Karam; Harroudi, Sanaa; Torres, Delfim F. M.. "Optimal control of an HIV model with a trilinear antibody growth function".
(2022): http://hdl.handle.net/10773/33016.
10.3934/dcdss.2021148
- Silvério Rosa; Delfim F. M. Torres. "Fractional-Order Modelling and Optimal Control of Cholera Transmission". Fractal and
Fractional (2021): https://doi.org/10.3390/fractalfract5040261.
10.3390/fractalfract5040261
- Delfim F. M. Torres. "A non-Newtonian Noether's symmetry theorem". Applicable Analysis (2021): https://doi.org/10.1080/00036811.2021.2011243.
10.1080/00036811.2021.2011243
- P. T. Sowndarrajan; L. Shangerganesh; A. Debbouche; D. F. M. Torres. "Optimal control of a heroin epidemic mathematical model".
Optimization (2021): https://doi.org/10.1080/02331934.2021.2009823.
10.1080/02331934.2021.2009823
- Bikash Gogoi; Utpal Kumar Saha; Bipan Hazarika; Delfim F. M. Torres; Hijaz Ahmad. "Nabla Fractional Derivative and Fractional
Integral on Time Scales". Axioms (2021): https://doi.org/10.3390/axioms10040317.
10.3390/axioms10040317
- Sandra Vaz; Delfim F. M. Torres. "A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal".
Axioms (2021): https://doi.org/10.3390/axioms10040314.
10.3390/axioms10040314
- Somayeh Nemati; Pedro M. Lima; Delfim F. M. Torres. "Numerical Solution of Variable-Order Fractional Differential Equations
Using Bernoulli Polynomials". Fractal and Fractional 5 4 (2021): 219-219. https://doi.org/10.3390/fractalfract5040219.
10.3390/fractalfract5040219
- Anwarud Din; Amir Khan; Anwar Zeb; Moulay Rchid Sidi Ammi; Mouhcine Tilioua; Delfim F. M. Torres. "Hybrid Method for Simulation
of a Fractional COVID-19 Model with Real Case Application". Axioms 10 4 (2021): 290-290. https://doi.org/10.3390/axioms10040290.
10.3390/axioms10040290
- Delfim F.M. Torres. "Cauchy’s formula on nonempty closed sets and a new notion of Riemann–Liouville fractional integral on
time scales". Applied Mathematics Letters 121 (2021): 107407-107407. https://doi.org/10.1016/j.aml.2021.107407.
10.1016/j.aml.2021.107407
- Faïçal Ndaïrou; Delfim F. M. Torres. "Optimal Control Problems Involving Combined Fractional Operators with General Analytic
Kernels". Mathematics 9 19 (2021): 2355-2355. https://doi.org/10.3390/math9192355.
10.3390/math9192355
- Faïçal Ndaïrou; Delfim F. M. Torres. "Pontryagin Maximum Principle for Distributed-Order Fractional Systems". Mathematics
(2021): https://doi.org/10.3390/math9161883.
10.3390/math9161883
- Delfim F. M. Torres; Torres, Delfim F. M.. "On a Non-Newtonian Calculus of Variations". Axioms 10 3 (2021): 171-171.
https://doi.org/10.3390/axioms10030171.
10.3390/axioms10030171
- Faïçal Ndaïrou; Delfim F. M. Torres. "Mathematical Analysis of a Fractional COVID-19 Model Applied to Wuhan, Spain and Portugal".
Axioms (2021): https://doi.org/10.3390/axioms10030135.
10.3390/axioms10030135
- Cristiana J. Silva; Guillaume Cantin; Carla Cruz; Rui Fonseca-Pinto; Rui Passadouro; Estevão Soares dos Santos; Delfim F.M.
Torres. "Complex network model for COVID-19: Human behavior, pseudo-periodic solutions and multiple epidemic waves". Journal
of Mathematical Analysis and Applications (2021): 125171-125171. https://doi.org/10.1016/j.jmaa.2021.125171.
10.1016/j.jmaa.2021.125171
- Marouane Mahrouf; Adnane Boukhouima; Houssine Zine; El Mehdi Lotfi; Delfim F. M. Torres; Noura Yousfi; Mahrouf, Marouane;
et al. "Modeling and Forecasting of COVID-19 Spreading by Delayed Stochastic Differential Equations". Axioms 10 1 (2021):
18-18. https://doi.org/10.3390/axioms10010018.
10.3390/axioms10010018
- Amar Debbouche; Juan J. Nieto; Delfim F. M. Torres; Debbouche, Amar; Nieto, Juan J.; Torres, Delfim F. M.. "Focus point: cancer
and HIV/AIDS dynamics—from optimality to modelling". The European Physical Journal Plus (2021): https://doi.org/10.1140/epjp/s13360-021-01154-z.
10.1140/epjp/s13360-021-01154-z
- Adnane Boukhouima; El Mehdi Lotfi; Marouane Mahrouf; Silvério Rosa; Delfim F. M. Torres; Noura Yousfi; Boukhouima, Adnane;
et al. "Stability analysis and optimal control of a fractional HIV-AIDS epidemic model with memory and general incidence rate".
The European Physical Journal Plus (2021): https://doi.org/10.1140/epjp/s13360-020-01013-3.
10.1140/epjp/s13360-020-01013-3
- Nemati, S.; Lima, Pedro M.; Torres, Delfim F. M.. "Numerical solution of a class of third-kind Volterra integral equations
using Jacobi wavelets". (2021): http://hdl.handle.net/10773/30368.
10.1007/s11075-020-00906-9
- Silva, Cristiana J.; Cruz, Carla; Torres, Delfim F. M.; Muñuzuri, Alberto P.; Carballosa, Alejandro; Area, Iván; Nieto, Juan
J.; et al. "Optimal control of the COVID-19 pandemic: controlled sanitary deconfinement in Portugal". Scientific Reports
(2021): http://hdl.handle.net/10773/30583.
10.1038/s41598-021-83075-6
- Ndaïrou, Faïçal; Area, Iván; Nieto, Juan J.; Silva, Cristiana J.; Torres, Delfim F. M.. "Fractional model of COVID-19 applied
to Galicia, Spain and Portugal". (2021): http://hdl.handle.net/10773/30322.
10.1016/j.chaos.2021.110652
- Nemati, S.; Lima, Pedro M.; Torres, Delfim F. M.. "Numerical solution of a class of third-kind Volterra integral equations
using Jacobi wavelets". (2021): http://hdl.handle.net/10773/30368.
10.1007/s11075-020-00906-9
- Ammi, Moulay Rchid Sidi; Tahiri, Mostafa; Torres, Delfim F. M.. "Global stability of a Caputo fractional SIRS model with general
incidence rate". (2021): http://hdl.handle.net/10773/30986.
10.1007/s11786-020-00467-z
- Abraha, Teklebirhan; Al Basir, Fahad; Obsu, Legesse Lemecha; Torres, Delfim F. M.. "Pest control using farming awareness:
impact of time delays and optimal use of biopesticides". (2021): http://hdl.handle.net/10773/31086.
10.1016/j.chaos.2021.110869
- Ndaïrou, Faïçal; Torres, Delfim F. M.. "Optimal control problems involving combined fractional operators with general analytic
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10.1016/j.chaos.2020.110311
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optimal control problems". (2019): http://hdl.handle.net/10773/26233.
- Ammi, Moulay Rchid Sidi; Jamiai, Ismail; Torres, Delfim F. M.. "A finite element approximation for a class of Caputo time-fractional
diffusion equations". (2019): http://hdl.handle.net/10773/26382.
10.1016/j.camwa.2019.05.031
- Lemos-Paião, Ana Pedro; Silva, Cristiana J.; Torres, Delfim F. M.. "A sufficient optimality condition for delayed state-linear
optimal control problems". (2019): http://hdl.handle.net/10773/25690.
10.3934/dcdsb.2019096
- Mozyrska, Dorota; Torres, Delfim F. M.; Wyrwas, Malgorzata. "Solutions of systems with the Caputo-Fabrizio fractional delta
derivative on time scales". (2019): http://hdl.handle.net/10773/25052.
10.1016/j.nahs.2018.12.001
- Nemati, Somayeh; Lima, Pedro M.; Torres, Delfim F. M.. "A numerical approach for solving fractional optimal control problems
using modified hat functions". (2019): http://hdl.handle.net/10773/26144.
10.1016/j.cnsns.2019.104849
- Salati, Abubakar Bello; Shamsi, Mostafa; Torres, Delfim F. M.. "Direct transcription methods based on fractional integral
approximation formulas for solving nonlinear fractional optimal control problems". (2019): http://hdl.handle.net/10773/24646.
10.1016/j.cnsns.2018.05.011
- Bayour, Benaoumeur; Torres, Delfim F. M.. "Structural derivatives on time scales". (2019): http://hdl.handle.net/10773/25674.
10.31801/cfsuasmas.513107
- Torres, Delfim F. M.; Area, Iván; Silva, César; Silva, Cristiana J.. "The Portuguese Meeting in Biomathematics". (2019): http://hdl.handle.net/10773/26474.
10.19139/soic-2310-5070-829
- Ammi, Moulay Rchid Sidi; Torres, Delfim F. M.. "Optimal control of a nonlocal thermistor problem with ABC fractional time
derivatives". (2019): http://hdl.handle.net/10773/26381.
10.1016/j.camwa.2019.03.043
- Elazzouzi, Abdelhai; Alaoui, Abdesslem Lamrani; Tilioua, Mouhcine; Torres, Delfim F. M.. "Analysis of a SIRI epidemic model
with distributed delay and relapse". (2019): http://hdl.handle.net/10773/26475.
10.19139/soic-2310-5070-831
- Kostylenko, Olena; Rodrigues, Helena Sofia; Torres, Delfim F. M.. "The risk of contagion spreading and its optimal control
in the economy". (2019): http://hdl.handle.net/10773/26063.
- Moulay Rchid Sidi Ammi; Torres, Delfim F. M.. "Existence of solution to a nonlocal conformable fractional thermistor problem".
(2019): http://hdl.handle.net/10773/25666.
10.31801/cfsuasmas.501582
- Silva, Cristiana J.; Torres, Delfim F. M.. "Stability of a fractional HIV/AIDS model". (2019): http://hdl.handle.net/10773/26179.
10.1016/j.matcom.2019.03.016
- Zhao, Dafang; Ye, Guoju; Liu, Wei; Torres, Delfim F. M.. "Some inequalities for interval-valued functions on time scales".
(2019): http://hdl.handle.net/10773/26294.
10.1007/s00500-018-3538-6
- Lotfi, El Mehdi; Mahrouf, Marouane; Maziane, Mehdi; Silva, Cristiana J.; Torres, Delfim F. M.; Yousfi, Noura. "A minimal HIV-AIDS
infection model with general incidence rate and application to Morocco data". (2019): http://hdl.handle.net/10773/26476.
10.19139/soic-2310-5070-834
- Rosa, Silvério; Torres, Delfim F. M.. "Optimal control and sensitivity analysis of a fractional order TB model". (2019): http://hdl.handle.net/10773/26479.
10.19139/soic-2310-5070-836
- Piunovskiy, Alexey; Plakhov, Alexander; Torres, Delfim F. M.; Zhang, Yi. "Optimal impulse control of dynamical systems". (2019):
http://hdl.handle.net/10773/26100.
- Razminia, Abolhassan; AsadiZadehShiraz, Mehdi; Torres, Delfim F. M.. "Fractional order version of the HJB equation". (2019):
http://hdl.handle.net/10773/25668.
10.1115/1.4041912
- Silvério Rosa; Delfim F.M. Torres. "Optimal control of a fractional order epidemic model with application to human respiratory
syncytial virus infection". Chaos, Solitons & Fractals 117 (2018): 142-149. https://doi.org/10.1016/j.chaos.2018.10.021.
10.1016/j.chaos.2018.10.021
- Jasmina Djordjevic; Cristiana J. Silva; Delfim F.M. Torres; Djordjevic, Jasmina; Silva, Cristiana J.; Torres, Delfim F. M..
"A stochastic SICA epidemic model for HIV transmission". Applied Mathematics Letters 84 (2018): 168-175. https://doi.org/10.1016/j.aml.2018.05.005.
10.1016/j.aml.2018.05.005
- Dafang Zhao; Guoju Ye; Wei Liu; Delfim F. M. Torres. "Some inequalities for interval-valued functions on time scales". Soft
Computing (2018): https://doi.org/10.1007/s00500-018-3538-6.
10.1007/s00500-018-3538-6
- Ravi P. Agarwal; Dumitru Baleanu; Juan J. Nieto; Delfim F.M. Torres; Yong Zhou; Agarwal, Ravi P.; Baleanu, Dumitru; et al.
"A survey on fuzzy fractional differential and optimal control nonlocal evolution equations". Journal of Computational
and Applied Mathematics 339 (2018): 3-29. https://doi.org/10.1016/j.cam.2017.09.039.
10.1016/j.cam.2017.09.039
- Dina Tavares; Ricardo Almeida; Delfim F.M. Torres. "Combined fractional variational problems of variable order and some computational
aspects". Journal of Computational and Applied Mathematics 339 (2018): 374-388. https://doi.org/10.1016/j.cam.2017.04.042.
10.1016/j.cam.2017.04.042
- Karam Allali; Sanaa Harroudi; Delfim F. M. Torres. "Analysis and Optimal Control of an Intracellular Delayed HIV Model with
CTL Immune Response". Mathematics in Computer Science (2018): https://doi.org/10.1007/s11786-018-0333-9.
10.1007/s11786-018-0333-9
- Eugénio M. Rocha; Cristiana J. Silva; Delfim F. M. Torres. "The effect of immigrant communities coming from higher incidence
tuberculosis regions to a host country". Ricerche di Matematica (2018): https://doi.org/10.1007/s11587-017-0350-z.
10.1007/s11587-017-0350-z
- Roman Denysiuk; Cristiana J. Silva; Delfim F. M. Torres. "Multiobjective optimization to a TB-HIV/AIDS coinfection optimal
control problem". Computational and Applied Mathematics (2018): https://doi.org/10.1007/s40314-017-0438-9.
10.1007/s40314-017-0438-9
- Assia Guezane-Lakoud; Rabah Khaldi; Delfim F. M. Torres. "Lyapunov-type inequality for a fractional boundary value problem
with natural conditions". SeMA Journal (2018): https://doi.org/10.1007/s40324-017-0124-2.
10.1007/s40324-017-0124-2
- Silva, C.J.; Torres, D.F.M.. "Modeling and optimal control of HIV/AIDS prevention through PrEP". Discrete Contin. Dyn.
Syst. Ser. S 11 1 (2018): 119-141.
Publicado
- Fard, O.S.; Soolaki, J.; Torres, D.F.M.. "A necessary condition of pontryagin type for fuzzy fractional optimal control problems".
Discrete Contin. Dyn. Syst. Ser. S 11 1 (2018): 59-70.
Publicado
- Choquet, C.; Martins, N.; Sidi Ammi, M.R.; Tilioua, M.; Torres, D.F.M.. "Preface of Special Issue on Optimization and Differential
Equations". Discrete Contin. Dyn. Syst. Ser. S 11 1 (2018): i-ii.
Publicado
- Santos, S.P.S.; Martins, N.; Torres, D.F.M.. "Noether currents for higher-order variational problems of Herglotz type with
time delay". Discrete and Continuous Dynamical Systems - Series S 11 1 (2018): 91-102. http://www.scopus.com/inward/record.url?eid=2-s2.0-85030991099&partnerID=MN8TOARS.
10.3934/dcdss.2018006
- Fard, O.S.; Soolaki, J.; Torres, D.F.M.. "A necessary condition of pontryagin type for fuzzy fractional optimal control problems".
Discrete and Continuous Dynamical Systems - Series S 11 1 (2018): 59-70. http://www.scopus.com/inward/record.url?eid=2-s2.0-85031006051&partnerID=MN8TOARS.
10.3934/dcdss.2018004
- Tavares, D.; Almeida, R.; Torres, D.F.M.. "Fractional Herglotz variational problems of variable order". Discrete and Continuous
Dynamical Systems - Series S 11 1 (2018): 143-154. http://www.scopus.com/inward/record.url?eid=2-s2.0-85030998778&partnerID=MN8TOARS.
10.3934/dcdss.2018009
- Silva, C.J.; Torres, D.F.M.. "Modeling and optimal control of HIV/AIDS prevention through PrEP". Discrete and Continuous
Dynamical Systems - Series S 11 1 (2018): 119-141. http://www.scopus.com/inward/record.url?eid=2-s2.0-85031017482&partnerID=MN8TOARS.
10.3934/dcdss.2018008
- Choquet, C.; Martins, N.; Sidi Ammi, M.R.; Tilioua, M.; Torres, D.F.M.. "Preface". Discrete and Continuous Dynamical Systems
- Series S 11 1 (2018): i-ii. http://www.scopus.com/inward/record.url?eid=2-s2.0-85031032122&partnerID=MN8TOARS.
10.3934/dcdss.201801i
- Weronika Wojtak; Abdon Atangana; Cristiana J. Silva; Delfim F.M. Torres; Gisèle Mophou; Jordan Hristov; Zakia Hammouch. "Uniform
asymptotic stability of a fractional tuberculosis model". Mathematical Modelling of Natural Phenomena (2018): https://doi.org/10.1051/mmnp/2018015.
10.1051/mmnp/2018015
- Rocha, Eugénio M.; Silva, Cristiana; Torres, Delfim. "The effect of immigrant communities coming from higher incidence tuberculosis
regions to a host country". (2018): http://hdl.handle.net/10773/23508.
10.1007/s11587-017-0350-z
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F.M.. "Fractional Herglotz variational problem of variable order". (2018):
http://hdl.handle.net/10773/18543.
10.3934/dcdss.2018009
- Rocha, Diana; Silva, Cristiana J.; Torres, Delfim F. M.. "Stability and optimal control of a delayed HIV model". (2018): http://hdl.handle.net/10773/23888.
10.1002/mma.4207
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F.M.. "Combined Fractional Variational Problems of Variable Order and Some
Computational Aspects". (2018): http://hdl.handle.net/10773/22955.
10.1016/j.cam.2017.04.042
- Karite, T.; Boutoulout, A.; Torres, D.F.M.. "Enlarged controllability of Riemann-Liouville fractional differential equations".
Journal of Computational and Nonlinear Dynamics 13 9 (2018): http://www.scopus.com/inward/record.url?eid=2-s2.0-85050968148&partnerID=MN8TOARS.
10.1115/1.4038450
- Liu, W.; Ye, G.; Zhao, D.; Torres, D.F.M.. "Existence theorems for a nonlinear second-order distributional differential equation".
Journal of King Saud University - Science 30 4 (2018): 527-530. http://www.scopus.com/inward/record.url?eid=2-s2.0-85044659539&partnerID=MN8TOARS.
10.1016/j.jksus.2017.04.009
- Torres, D.F.M.; Almeida, R.; Fortes, P.; Mozyrska, D.. "The Cape Verde International Days on Mathematics 2017". Statistics,
Optimization and Information Computing 6 1 (2018): 1-3. http://www.scopus.com/inward/record.url?eid=2-s2.0-85042616969&partnerID=MN8TOARS.
10.19139/soic.v6i1.464
- Galindro, A.; Torres, D.F.M.. "A simple mathematical model for unemployment: A case study in Portugal with optimal controly".
Statistics, Optimization and Information Computing 6 1 (2018): 116-129. http://www.scopus.com/inward/record.url?eid=2-s2.0-85042585976&partnerID=MN8TOARS.
10.19139/soic.v6i1.470
- Rodrigues, F.; Silva, C.J.; Torres, D.F.M.; Maurer, H.. "Optimal control of a delayed HIV model". Discrete and Continuous
Dynamical Systems - Series B 23 1 (2018): 443-458. http://www.scopus.com/inward/record.url?eid=2-s2.0-85034023646&partnerID=MN8TOARS.
10.3934/dcdsb.2018030
- Rosa, S.; Torres, D.F.M.. "Parameter estimation, sensitivity analysis and optimal control of a periodic epidemic model with
application to HRSV in Florida". Statistics, Optimization and Information Computing 6 1 (2018): 139-149. http://www.scopus.com/inward/record.url?eid=2-s2.0-85042584465&partnerID=MN8TOARS.
10.19139/soic.v6i1.472
- Area, I.; Ndaïrou, F.; Nieto, J.J.; Silva, C.J.; Torres, D.F.M.. "Ebola model and optimal control with vaccination constraints".
Journal of Industrial and Management Optimization 14 2 (2018): 427-446. http://www.scopus.com/inward/record.url?eid=2-s2.0-85037541309&partnerID=MN8TOARS.
10.3934/jimo.2017054
- Chidouh, A.; Torres, D.F.M.. "Existence of positive solutions to a discrete fractional boundary value problem and corresponding
Lyapunov-type inequalities". Opuscula Mathematica 38 1 (2018): 31-40. http://www.scopus.com/inward/record.url?eid=2-s2.0-85037052563&partnerID=MN8TOARS.
10.7494/OpMath.2018.38.1.31
- Torres, D.F.M.; Almeida, R.; Malinowska, A.B.; Martins, N.; Sidi Ammi, M.R.. "Introduction: New trends on dynamical systems
and differential equations". International Journal of Dynamical Systems and Differential Equations 8 1-2 (2018): 1-5.
http://www.scopus.com/inward/record.url?eid=2-s2.0-85040440150&partnerID=MN8TOARS.
- Bayour, B.; Hammoudi, A.; Torres, D.F.M.. "A truly conformable calculus on time scales". Global and Stochastic Analysis
5 1 (2018): 1-14. http://www.scopus.com/inward/record.url?eid=2-s2.0-85041807445&partnerID=MN8TOARS.
- Mateus, J.P.; Rebelo, P.; Rosa, S.; Silva, C.M.; Torres, D.F.M.. "Optimal control of non-autonomous seirs models with vaccination
and treatment". Discrete and Continuous Dynamical Systems - Series S 11 6 (2018): 1179-1199. http://www.scopus.com/inward/record.url?eid=2-s2.0-85053610454&partnerID=MN8TOARS.
10.3934/dcdss.2018067
- Galindro, Anibal; Torres, Delfim F. M.. "A simple mathematical model for unemployment: a case study in Portugal with optimal
control". (2018): http://hdl.handle.net/10773/24529.
10.19139/soic.v6i1.470
- Bayour, Benaoumeur; Hammoudi, Ahmed; Torres, Delfim F. M.. "A truly conformable calculus on time scales". (2018): http://hdl.handle.net/10773/24509.
- Rosa, Silvério; Torres, Delfim F. M.. "Optimal control of a fractional order epidemic model with application to human respiratory
syncytial virus infection". (2018): http://hdl.handle.net/10773/24498.
10.1016/j.chaos.2018.10.021
- Rocha, Eugénio M.; Silva, Cristiana; Torres, Delfim. "The effect of immigrant communities coming from higher incidence tuberculosis
regions to a host country". (2018): http://hdl.handle.net/10773/23508.
10.1007/s11587-017-0350-z
- Ammi, Moulay Rchid Sidi; Torres, Delfim F. M.. "Existence and uniqueness results for a fractional Riemann-Liouville nonlocal
thermistor problem on arbitrary time scales". (2018): http://hdl.handle.net/10773/24504.
10.1016/j.jksus.2017.03.004
- Allali, Karam; Harroudi, Sanaa; Torres, Delfim F. M.. "Analysis and optimal control of an intracellular delayed HIV model
with CTL immune response". (2018): http://hdl.handle.net/10773/24530.
10.1007/s11786-018-0333-9
- Zouiten, Hayat; Boutoulout, Ali; Torres, Delfim F. M.. "Regional enlarged observability of fractional differential equations
with Riemann—Liouville time derivatives". (2018): http://hdl.handle.net/10773/25097.
10.3390/axioms7040092
- Karite, Touria; Boutoulout, Ali; Torres, Delfim F. M.. "Enlarged controllability of Riemann-Liouville fractional differential
equations". (2018): http://hdl.handle.net/10773/24527.
10.1115/1.4038450
- Chidouh, Amar; Torres, Delfim F. M.. "Existence of positive solutions to a discrete fractional boundary value problem and
corresponding Lyapunov-type inequalities". (2018): http://hdl.handle.net/10773/24536.
10.7494/OpMath.2018.38.1.31
- Rosa, Silvério; Torres, Delfim F. M.. "Parameter estimation, sensitivity analysis and optimal control of a periodic epidemic
model with application to HRSV in Florida". (2018): http://hdl.handle.net/10773/24539.
10.19139/soic.v6i1.472
- Rachah, Amira; Torres, Delfim F. M.. "Analysis, simulation and optimal control of a SEIR model for Ebola virus with demographic
effects". (2018): http://hdl.handle.net/10773/24524.
10.1501/Commua1_0000000841
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F.M.. "Fractional Herglotz variational problem of variable order". (2018):
http://hdl.handle.net/10773/18543.
10.3934/dcdss.2018009
- Rosa, Silvério; Torres, Delfim F. M.. "Parameter Estimation, Sensitivity Analysis and Optimal Control of a Periodic Epidemic
Model with Application to HRSV in Florida". (2018): http://hdl.handle.net/10400.6/8991.
10.19139/soic.v6i1.472
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F.M.. "Combined Fractional Variational Problems of Variable Order and Some
Computational Aspects". (2018): http://hdl.handle.net/10773/22955.
10.1016/j.cam.2017.04.042
- Silva, Cristiana J.; Torres, Delfim F. M.. "Global stability for a HIV/AIDS model". (2018): http://hdl.handle.net/10773/24503.
10.1501/Commua1_0000000833
- Guechi, Sarra; Debbouche, Amar; Torres, Delfim F. M.. "Approximate controllability of impulsive non-local non-linear fractional
dynamical systems and optimal control". (2018): http://hdl.handle.net/10773/24526.
10.18514/MMN.2018.2486
- Denysiuk, Roman; Silva, Cristiana J.; Torres, Delfim F. M.. "Multiobjective optimization to a TB-HIV/AIDS coinfection optimal
control problem". (2018): http://hdl.handle.net/10773/24506.
10.1007/s40314-017-0438-9
- Rosa, Silvério; Torres, Delfim F. M.. "Optimal Control and Sensitivity Analysis of a Fractional Order TB Model". (2018): http://hdl.handle.net/10400.6/8995.
10.19139/soic-2310-5070-836
- Rocha, Diana; Silva, Cristiana J.; Torres, Delfim F. M.. "Stability and optimal control of a delayed HIV model". (2018): http://hdl.handle.net/10773/23888.
10.1002/mma.4207
- Silva, Cristiana J.; Torres, Delfim F. M.. "Global stability for a HIV/AIDS model". (2018): http://hdl.handle.net/10773/24503.
10.1501/Commua1_0000000833
- Malinzi, Joseph; Ouifki, Rachid; Eladdadi, Amina; Torres, Delfim F. M.; White, K. A. Jane. "Enhancement of chemotherapy using
oncolytic virotherapy: mathematical and optimal control analysis". (2018): http://hdl.handle.net/10773/24502.
10.3934/mbe.2018066
- Rachah, Amira; Torres, Delfim F. M.. "Analysis, simulation and optimal control of a SEIR model for Ebola virus with demographic
effects". (2018): http://hdl.handle.net/10773/24524.
10.1501/Commua1_0000000841
- Lemos-Paião, Ana P.; Silva, Cristiana J.; Torres, Delfim F. M.. "A cholera mathematical model with vaccination and the biggest
outbreak ofworld’s history". (2018): http://hdl.handle.net/10773/24531.
10.3934/Math.2018.4.448
- Bayour, Benaoumeur; Hammoudi, Ahmed; Torres, Delfim F. M.. "A truly conformable calculus on time scales". (2018): http://hdl.handle.net/10773/24509.
- Torres, Delfim; Tilioua, Mouhcine; Ammi, M. Rchid Sidi; Martins, Natália; Choquet, Catherine. "Preface". (2018): http://hdl.handle.net/10773/25344.
10.3934/dcdss.201801i
- Rosa, Silvério; Torres, Delfim F. M.. "Optimal Control and Sensitivity Analysis of a Fractional Order TB Model". (2018): http://hdl.handle.net/10400.6/8995.
10.19139/soic-2310-5070-836
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F.M.. "Fractional Herglotz variational problem of variable order". (2018):
http://hdl.handle.net/10773/18543.
10.3934/dcdss.2018009
- Rodrigues, Filipe; Silva, Cristiana J.; Torres, Delfim F. M.; Maurer, Helmut. "Optimal control of a delayed HIV model". (2018):
http://hdl.handle.net/10773/24505.
10.3934/dcdsb.2018030
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F.M.. "Combined Fractional Variational Problems of Variable Order and Some
Computational Aspects". (2018): http://hdl.handle.net/10773/22955.
10.1016/j.cam.2017.04.042
- Ammi, Moulay Rchid Sidi; Torres, Delfim F. M.. "Existence and uniqueness results for a fractional Riemann-Liouville nonlocal
thermistor problem on arbitrary time scales". (2018): http://hdl.handle.net/10773/24504.
10.1016/j.jksus.2017.03.004
- Rosa, Silvério; Torres, Delfim F. M.. "Parameter Estimation, Sensitivity Analysis and Optimal Control of a Periodic Epidemic
Model with Application to HRSV in Florida". (2018): http://hdl.handle.net/10400.6/8991.
10.19139/soic.v6i1.472
- Rocha, Eugénio M.; Silva, Cristiana; Torres, Delfim. "The effect of immigrant communities coming from higher incidence tuberculosis
regions to a host country". (2018): http://hdl.handle.net/10773/23508.
10.1007/s11587-017-0350-z
- Mateus, Joaquim P.; Rebelo, Paulo; Rosa, Silvério; Silva, César M.; Torres, Delfim F. M.. "Optimal control of non-autonomous
SEIRS models with vaccination and treatment". (2018): http://hdl.handle.net/10773/24517.
10.3934/dcdss.2018067
- Rosa, Silvério; Torres, Delfim F. M.. "Parameter estimation, sensitivity analysis and optimal control of a periodic epidemic
model with application to HRSV in Florida". (2018): http://hdl.handle.net/10773/24539.
10.19139/soic.v6i1.472
- Allali, Karam; Harroudi, Sanaa; Torres, Delfim F. M.. "Analysis and optimal control of an intracellular delayed HIV model
with CTL immune response". (2018): http://hdl.handle.net/10773/24530.
10.1007/s11786-018-0333-9
- Guechi, Sarra; Debbouche, Amar; Torres, Delfim F. M.. "Approximate controllability of impulsive non-local non-linear fractional
dynamical systems and optimal control". (2018): http://hdl.handle.net/10773/24526.
10.18514/MMN.2018.2486
- Karite, Touria; Boutoulout, Ali; Torres, Delfim F. M.. "Enlarged controllability of Riemann-Liouville fractional differential
equations". (2018): http://hdl.handle.net/10773/24527.
10.1115/1.4038450
- Galindro, Aníbal; Cerveira, Maria Adelaide da Cruz; Torres, Delfim; Matias, João Luis Honório; Costa, Ana Alexandra Vilela
Marta Rio. "A Mathematical model for vineyard replacement with nonlinear binary control optimization". (2018): http://hdl.handle.net/10348/10188.
10.5890/DNC.2020.06.001
- Galindro, Anibal; Torres, Delfim F. M.. "A simple mathematical model for unemployment: a case study in Portugal with optimal
control". (2018): http://hdl.handle.net/10773/24529.
10.19139/soic.v6i1.470
- Chidouh, Amar; Torres, Delfim F. M.. "Existence of positive solutions to a discrete fractional boundary value problem and
corresponding Lyapunov-type inequalities". (2018): http://hdl.handle.net/10773/24536.
10.7494/OpMath.2018.38.1.31
- Ndairou, Faiçal; Area, Ivan; Nieto, Juan J.; Silva, Cristiana J.; Torres, Delfim F. M.. "Mathematical modeling of Zika disease
in pregnant women and newborns with microcephaly in Brazil". (2018): http://hdl.handle.net/10773/24781.
10.1002/mma.4702
- Torres, Delfim F. M.; Almeida, Ricardo; Fortes, Paulino; Mozyrska, Dorota. "The Cape Verde International Days on Mathematics
2017". (2018): http://hdl.handle.net/10773/24528.
10.19139/soic.v6i1.464
- Denysiuk, Roman; Silva, Cristiana J.; Torres, Delfim F. M.. "Multiobjective optimization to a TB-HIV/AIDS coinfection optimal
control problem". (2018): http://hdl.handle.net/10773/24506.
10.1007/s40314-017-0438-9
- Mateus, Joaquim; Rebelo, Paulo; Rosa, Silvério; Silva, César M.; Torres, Delfim F. M.. "Optimal Control Of Non-Autonomous
Seirs Models With Vaccination And Treatment". (2018): http://hdl.handle.net/10400.6/9012.
10.3934/dcdss.2018067
- Zouiten, Hayat; Boutoulout, Ali; Torres, Delfim F. M.. "Regional enlarged observability of fractional differential equations
with Riemann—Liouville time derivatives". (2018): http://hdl.handle.net/10773/25097.
10.3390/axioms7040092
- Wojtak, Weronika; Silva, Cristiana J.; Torres, Delfim F. M.. "Uniform asymptotic stability of a fractional tuberculosis model".
(2018): http://hdl.handle.net/10773/24522.
10.1051/mmnp/2018015
- Rosa, Silvério; Torres, Delfim F. M.. "Optimal control of a fractional order epidemic model with application to human respiratory
syncytial virus infection". (2018): http://hdl.handle.net/10773/24498.
10.1016/j.chaos.2018.10.021
- Guezane-Lakoud, Assia; Khaldi, Rabah; Torres, Delfim F. M.. "Lyapunov-type inequality for a fractional boundary value problem
with natural conditions". (2018): http://hdl.handle.net/10773/24508.
10.1007/s40324-017-0124-2
- Area, Iván; Ndairou, Faiçal; Nieto, Juan J.; Silva, Cristiana J.; Torres, Delfim F. M.. "Ebola Model and Optimal Control with
Vaccination Constraints". (2018): http://hdl.handle.net/10773/24501.
10.3934/jimo.2017054
- Rocha, Diana; Silva, Cristiana J.; Torres, Delfim F. M.. "Stability and optimal control of a delayed HIV model". (2018): http://hdl.handle.net/10773/23888.
10.1002/mma.4207
- Mateus, Joaquim; Rebelo, Paulo; Rosa, Silvério; Silva, César; Torres, Delfim. "Optimal control of non-autonomous SEIRS models
with vaccination and treatment". (2018): http://hdl.handle.net/10314/4607.
- Liu, Wei; Ye, Guoju; Zhao, Dafang; Torres, Delfim F. M.. "Existence theorems for a nonlinear second-order distributional differential
equation". (2018): http://hdl.handle.net/10773/24500.
10.1016/j.jksus.2017.04.009
- Rosa, Silvério; Torres, Delfim F. M.. "Optimal Control and Sensitivity Analysis of a Fractional Order TB Model". (2018): http://hdl.handle.net/10400.6/8995.
10.19139/soic-2310-5070-836
- Ndairou, Faiçal; Area, Ivan; Nieto, Juan J.; Silva, Cristiana J.; Torres, Delfim F. M.. "Mathematical modeling of Zika disease
in pregnant women and newborns with microcephaly in Brazil". (2018): http://hdl.handle.net/10773/24781.
10.1002/mma.4702
- Zouiten, Hayat; Boutoulout, Ali; Torres, Delfim F. M.. "Regional enlarged observability of fractional differential equations
with Riemann—Liouville time derivatives". (2018): http://hdl.handle.net/10773/25097.
10.3390/axioms7040092
- Area, Iván; Ndairou, Faiçal; Nieto, Juan J.; Silva, Cristiana J.; Torres, Delfim F. M.. "Ebola Model and Optimal Control with
Vaccination Constraints". (2018): http://hdl.handle.net/10773/24501.
10.3934/jimo.2017054
- Ammi, Moulay Rchid Sidi; Torres, Delfim F. M.. "Existence and uniqueness results for a fractional Riemann-Liouville nonlocal
thermistor problem on arbitrary time scales". (2018): http://hdl.handle.net/10773/24504.
10.1016/j.jksus.2017.03.004
- Mateus, Joaquim P.; Rebelo, Paulo; Rosa, Silvério; Silva, César M.; Torres, Delfim F. M.. "Optimal control of non-autonomous
SEIRS models with vaccination and treatment". (2018): http://hdl.handle.net/10773/24517.
10.3934/dcdss.2018067
- Mateus, Joaquim; Rebelo, Paulo; Rosa, Silvério; Silva, César; Torres, Delfim. "Optimal control of non-autonomous SEIRS models
with vaccination and treatment". (2018): http://hdl.handle.net/10314/4607.
- Rosa, Silvério; Torres, Delfim F. M.. "Parameter Estimation, Sensitivity Analysis and Optimal Control of a Periodic Epidemic
Model with Application to HRSV in Florida". (2018): http://hdl.handle.net/10400.6/8991.
10.19139/soic.v6i1.472
- Mateus, Joaquim; Rebelo, Paulo; Rosa, Silvério; Silva, César M.; Torres, Delfim F. M.. "Optimal Control Of Non-Autonomous
Seirs Models With Vaccination And Treatment". (2018): http://hdl.handle.net/10400.6/9012.
10.3934/dcdss.2018067
- Djordjevic, Jasmina; Silva, Cristiana J.; Torres, Delfim F. M.. "A stochastic SICA epidemic model for HIV transmission". (2018):
http://hdl.handle.net/10773/24510.
10.1016/j.aml.2018.05.005
- Chidouh, Amar; Torres, Delfim F. M.. "Existence of positive solutions to a discrete fractional boundary value problem and
corresponding Lyapunov-type inequalities". (2018): http://hdl.handle.net/10773/24536.
10.7494/OpMath.2018.38.1.31
- Lemos-Paião, Ana P.; Silva, Cristiana J.; Torres, Delfim F. M.. "A cholera mathematical model with vaccination and the biggest
outbreak ofworld’s history". (2018): http://hdl.handle.net/10773/24531.
10.3934/Math.2018.4.448
- Karite, Touria; Boutoulout, Ali; Torres, Delfim F. M.. "Enlarged controllability of Riemann-Liouville fractional differential
equations". (2018): http://hdl.handle.net/10773/24527.
10.1115/1.4038450
- Torres, Delfim; Tilioua, Mouhcine; Ammi, M. Rchid Sidi; Martins, Natália; Choquet, Catherine. "Preface". (2018): http://hdl.handle.net/10773/25344.
10.3934/dcdss.201801i
- Galindro, Anibal; Torres, Delfim F. M.. "A simple mathematical model for unemployment: a case study in Portugal with optimal
control". (2018): http://hdl.handle.net/10773/24529.
10.19139/soic.v6i1.470
- Galindro, Aníbal; Cerveira, Maria Adelaide da Cruz; Torres, Delfim; Matias, João Luis Honório; Costa, Ana Alexandra Vilela
Marta Rio. "A Mathematical model for vineyard replacement with nonlinear binary control optimization". (2018): http://hdl.handle.net/10348/10188.
10.5890/DNC.2020.06.001
- Rosa, Silvério; Torres, Delfim F. M.. "Parameter estimation, sensitivity analysis and optimal control of a periodic epidemic
model with application to HRSV in Florida". (2018): http://hdl.handle.net/10773/24539.
10.19139/soic.v6i1.472
- Denysiuk, Roman; Silva, Cristiana J.; Torres, Delfim F. M.. "Multiobjective optimization to a TB-HIV/AIDS coinfection optimal
control problem". (2018): http://hdl.handle.net/10773/24506.
10.1007/s40314-017-0438-9
- Rachah, Amira; Torres, Delfim F. M.. "Analysis, simulation and optimal control of a SEIR model for Ebola virus with demographic
effects". (2018): http://hdl.handle.net/10773/24524.
10.1501/Commua1_0000000841
- Agarwal, Ravi P.; Baleanu, Dumitru; Nieto, Juan J.; Torres, Delfim F. M.; Zhou, Yong. "A survey on fuzzy fractional differential
and optimal control nonlocal evolution equations". (2018): http://hdl.handle.net/10773/24515.
10.1016/j.cam.2017.09.039
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F.M.. "Combined Fractional Variational Problems of Variable Order and Some
Computational Aspects". (2018): http://hdl.handle.net/10773/22955.
10.1016/j.cam.2017.04.042
- Guezane-Lakoud, Assia; Khaldi, Rabah; Torres, Delfim F. M.. "Lyapunov-type inequality for a fractional boundary value problem
with natural conditions". (2018): http://hdl.handle.net/10773/24508.
10.1007/s40324-017-0124-2
- Bayour, Benaoumeur; Hammoudi, Ahmed; Torres, Delfim F. M.. "A truly conformable calculus on time scales". (2018): http://hdl.handle.net/10773/24509.
- Malinzi, Joseph; Ouifki, Rachid; Eladdadi, Amina; Torres, Delfim F. M.; White, K. A. Jane. "Enhancement of chemotherapy using
oncolytic virotherapy: mathematical and optimal control analysis". (2018): http://hdl.handle.net/10773/24502.
10.3934/mbe.2018066
- Rocha, Eugénio M.; Silva, Cristiana; Torres, Delfim. "The effect of immigrant communities coming from higher incidence tuberculosis
regions to a host country". (2018): http://hdl.handle.net/10773/23508.
10.1007/s11587-017-0350-z
- Rocha, Diana; Silva, Cristiana J.; Torres, Delfim F. M.. "Stability and optimal control of a delayed HIV model". (2018): http://hdl.handle.net/10773/23888.
10.1002/mma.4207
- Silva, Cristiana J.; Torres, Delfim F. M.. "Global stability for a HIV/AIDS model". (2018): http://hdl.handle.net/10773/24503.
10.1501/Commua1_0000000833
- Rodrigues, Filipe; Silva, Cristiana J.; Torres, Delfim F. M.; Maurer, Helmut. "Optimal control of a delayed HIV model". (2018):
http://hdl.handle.net/10773/24505.
10.3934/dcdsb.2018030
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F.M.. "Fractional Herglotz variational problem of variable order". (2018):
http://hdl.handle.net/10773/18543.
10.3934/dcdss.2018009
- Wojtak, Weronika; Silva, Cristiana J.; Torres, Delfim F. M.. "Uniform asymptotic stability of a fractional tuberculosis model".
(2018): http://hdl.handle.net/10773/24522.
10.1051/mmnp/2018015
- Liu, Wei; Ye, Guoju; Zhao, Dafang; Torres, Delfim F. M.. "Existence theorems for a nonlinear second-order distributional differential
equation". (2018): http://hdl.handle.net/10773/24500.
10.1016/j.jksus.2017.04.009
- Guechi, Sarra; Debbouche, Amar; Torres, Delfim F. M.. "Approximate controllability of impulsive non-local non-linear fractional
dynamical systems and optimal control". (2018): http://hdl.handle.net/10773/24526.
10.18514/MMN.2018.2486
- Torres, Delfim F. M.; Almeida, Ricardo; Fortes, Paulino; Mozyrska, Dorota. "The Cape Verde International Days on Mathematics
2017". (2018): http://hdl.handle.net/10773/24528.
10.19139/soic.v6i1.464
- Allali, Karam; Harroudi, Sanaa; Torres, Delfim F. M.. "Analysis and optimal control of an intracellular delayed HIV model
with CTL immune response". (2018): http://hdl.handle.net/10773/24530.
10.1007/s11786-018-0333-9
- Rosa, Silvério; Torres, Delfim F. M.. "Optimal control of a fractional order epidemic model with application to human respiratory
syncytial virus infection". (2018): http://hdl.handle.net/10773/24498.
10.1016/j.chaos.2018.10.021
- Faïçal Ndaïrou; Iván Area; Juan J. Nieto; Cristiana J. Silva; Delfim F. M. Torres. "Mathematical modeling of Zika disease
in pregnant women and newborns with microcephaly in Brazil". Mathematical Methods in the Applied Sciences (2017): https://doi.org/10.1002/mma.4702.
10.1002/mma.4702
- Kheira Mekhalfi; Delfim F. M. Torres. "Generalized fractional operators on time scales with application to dynamic equations".
The European Physical Journal Special Topics (2017): https://doi.org/10.1140/epjst/e2018-00036-0.
10.1140/epjst/e2018-00036-0
- Thabet Abdeljawad; Delfim F.M. Torres. "Symmetric duality for left and right Riemann–Liouville and Caputo fractional differences".
Arab Journal of Mathematical Sciences (2017): https://doi.org/10.1016%2Fj.ajmsc.2016.07.001.
10.1016/j.ajmsc.2016.07.001
- Ana P. Lemos-Paião; Cristiana J. Silva; Delfim F.M. Torres. "An epidemic model for cholera with optimal control treatment".
Journal of Computational and Applied Mathematics 318 (2017): 168-180. https://doi.org/10.1016%2Fj.cam.2016.11.002.
10.1016/j.cam.2016.11.002
- Moulay Rchid Sidi Ammi; Delfim F.M. Torres. "Existence and uniqueness results for a fractional Riemann–Liouville nonlocal
thermistor problem on arbitrary time scales". Journal of King Saud University - Science (2017): https://doi.org/10.1016%2Fj.jksus.2017.03.004.
10.1016/j.jksus.2017.03.004
- Moulay Rchid Sidi Ammi; Delfim F.M. Torres. "Galerkin spectral method for the fractional nonlocal thermistor problem". Computers
& Mathematics with Applications 73 6 (2017): 1077-1086. https://doi.org/10.1016/j.camwa.2016.05.033.
10.1016/j.camwa.2016.05.033
- Silva, C.J.; Maurer, H.; Torres, D.F.M.. "Optimal control of a tuberculosis model with state and control delays". Mathematical
Biosciences and Engineering 14 1 (2017): 321-337.
Publicado
- Silva, C.J.; Torres, D.F.M.. "A SICA compartmental model in epidemiology with application to HIV/AIDS in Cape Verde". Ecological
Complexity 30 1 (2017): 70-75.
Publicado
- Jahanshahi, S.; Babolian, E.; Torres, D.F.M.; Vahidi, A.R.. "A fractional Gauss–Jacobi quadrature rule for approximating fractional
integrals and derivatives". Chaos, Solitons & Fractals 102 1 (2017): 295-304.
Publicado
- Garra, R.; Taverna, G.S.; Torres, D.F.M.. "Fractional Herglotz variational principles with generalized Caputo derivatives".
Chaos, Solitons & Fractals 102 (2017), 94--98 102 1 (2017): 94-98.
Publicado
- Debbouche, A.; Nieto, J.J.; Torres, D.F.M.. "Optimal Solutions to Relaxation in Multiple Control Problems of Sobolev Type
with Nonlocal Nonlinear Fractional Differential Equations". Journal of Optimization Theory and Applications 174 1 (2017):
7-31.
Publicado
- Jahanshahi, S.; Torres, D.F.M.. "A Simple Accurate Method for Solving Fractional Variational and Optimal Control Problems".
Journal of Optimization Theory and Applications 174 1 (2017): 156-175.
Publicado
- Torres, D.F.M.. "A table of derivatives on arbitrary time scales". Global and Stochastic Analysis 4 2 (2017): 199-205.
Publicado
- Dryl, M.; Torres, D.F.M.. "Direct and inverse variational problems on time scales: A survey". Springer Proceedings in Mathematics
& Statistics 195 1 (2017): 223-265.
Publicado
- Sidi Ammi, M.R.; Jamiai, I.; Torres, D.F.M.. "Global existence of solutions for a fractional Caputo nonlocal thermistor problem".
Advances in Difference Equations 2017 1 (2017): 1-10.
Publicado
- Yang, X.-J.; Srivastava, H.M.; Torres, D.F.M.; Debbouche, A.. "General fractional-order anomalous diffusion with non-singular
power-law kernel". Thermal Science 21 1 (2017): S1-S9.
Publicado
- Thabet Abdeljawad; Delfim F. M. Torres. "Symmetric duality for left and right Riemann-Liouville and Caputo fractional differences".
Arab J. Math. Sci. 23 1 (2017): 157-172.
Publicado
- Silva, Cristiana J.; Torres, Delfim F.M.. "A SICA compartmental model in epidemiology with application to HIV/AIDS in Cape
Verde". (2017): http://hdl.handle.net/10773/18070.
10.1016/j.ecocom.2016.12.001
- Lazo, Matheus J.; Torres, Delfim F. M.. "Variational calculus with conformable fractional derivatives". (2017): http://hdl.handle.net/10773/18071.
10.1109/JAS.2016.7510160
- Torres, Delfim F. M.; Nwaeze, Eze R.. "Chain rules and inequalities for the BHT fractional calculus on arbitrary timescales".
(2017): http://hdl.handle.net/10773/21346.
Acesso aberto • 10.1007/s40065-016-0160-2
- Abdeljawad, Thabet; Torres, Delfim F. M.. "Symmetric duality for left and right Riemann-Liouville and Caputo fractional differences".
(2017): http://hdl.handle.net/10773/21366.
10.1016/j.ajmsc.2016.07.001
- Chidouh, Amar; Torres, Delfim F.M.. "A generalized Lyapunov's inequality for a fractional boundary value problem". (2017):
http://hdl.handle.net/10773/16659.
10.1016/j.cam.2016.03.035
- Bayour, Benaoumeur; Torres, Delfim F.M.. "Existence of solution to a local fractional nonlinear differential equation". (2017):
http://hdl.handle.net/10773/16624.
10.1016/j.cam.2016.01.014
- Guezane-Lakoud, Assia; Khaldi, Rabah; Torres, Delfim F. M.. "On a Fractional Oscillator Equation with Natural Boundary Conditions".
(2017): http://hdl.handle.net/10773/21364.
Acesso aberto • 10.18576/pfda/030302
- Kermausuor, Seth; Nwaeze, Eze R.; Torres, Delfim F. M.. "Generalized weighted Ostrowski and Ostrowski-Gruss type inequalities
on time scales via a parameter function". (2017): http://hdl.handle.net/10773/21348.
Acesso aberto • 10.7153/jmi-2017-11-88
- You, Xuexiao; Zhao, Dafang; Torres, Delfim F. M.. "On the Henstock-Kurzweil integral for Riesz-space-valued functions on time
scales". (2017): http://hdl.handle.net/10773/21368.
Acesso aberto • 10.22436/jnsa.010.05.18
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.. "Constrained fractional variational problems of variable order". (2017):
http://hdl.handle.net/10773/16675.
Acesso aberto • 10.1109/JAS.2017.7510331
- Silva, Cristiana J.; Maurer, Helmut; Torres, Delfim F.M.. "Optimal control of a tuberculosis model with state and control
delays". (2017): http://hdl.handle.net/10773/16643.
10.3934/mbe.2017021
- Yang, Xiao-Jun; Srivastava, H. M.; Torres, Delfim F. M.; Zhangy, Yudong. "Non-differentiable solutions for local fractional
nonlinear riccati differential equations". (2017): http://hdl.handle.net/10773/18072.
10.3233/FI-2017-1500
- Chidouh, Amar; Guezane-Lakoud, Assia; Bebbouchi, Rachid; Bouaricha, Amor; Torres, Delfim F.M.. "Linear and nonlinear fractional
voigt models". (2017): http://hdl.handle.net/10773/16625.
10.1007/978-3-319-45474-0_15
- Torres, D.F.M.. "A table of derivatives on arbitrary time scales". Global and Stochastic Analysis 4 2 (2017): 199-205.
http://www.scopus.com/inward/record.url?eid=2-s2.0-85029862319&partnerID=MN8TOARS.
- Zaman, G.; Jung, I.H.; Torres, D.F.M.; Zeb, A.. "Mathematical Modeling and Control of Infectious Diseases". Computational
and Mathematical Methods in Medicine 2017 (2017): http://www.scopus.com/inward/record.url?eid=2-s2.0-85042327112&partnerID=MN8TOARS.
10.1155/2017/7149154
- Elsaid, A.; Torres, D.F.M.; Bhalekar, S.; Elsadany, A.; Elsonbaty, A.. "Hyperchaotic Fractional-Order Systems and Their Applications".
Complexity 2017 (2017): http://www.scopus.com/inward/record.url?eid=2-s2.0-85042223714&partnerID=MN8TOARS.
10.1155/2017/7476090
- Sidi Ammi, M.R.; Jamiai, I.; Torres, D.F.M.. "Global existence of solutions for a fractional Caputo nonlocal thermistor problem".
Advances in Difference Equations 2017 1 (2017): http://www.scopus.com/inward/record.url?eid=2-s2.0-85035146999&partnerID=MN8TOARS.
10.1186/s13662-017-1418-5
- Jahanshahi, S.; Torres, D.F.M.. "A Simple Accurate Method for Solving Fractional Variational and Optimal Control Problems".
Journal of Optimization Theory and Applications 174 1 (2017): 156-175. http://www.scopus.com/inward/record.url?eid=2-s2.0-84957584247&partnerID=MN8TOARS.
10.1007/s10957-016-0884-3
- Debbouche, A.; Nieto, J.J.; Torres, D.F.M.. "Optimal Solutions to Relaxation in Multiple Control Problems of Sobolev Type
with Nonlocal Nonlinear Fractional Differential Equations". Journal of Optimization Theory and Applications 174 1 (2017):
7-31. http://www.scopus.com/inward/record.url?eid=2-s2.0-84928660839&partnerID=MN8TOARS.
10.1007/s10957-015-0743-7
- Garra, R.; Taverna, G.S.; Torres, D.F.M.. "Fractional Herglotz variational principles with generalized Caputo derivatives".
Chaos, Solitons and Fractals 102 (2017): 94-98. http://www.scopus.com/inward/record.url?eid=2-s2.0-85018357823&partnerID=MN8TOARS.
10.1016/j.chaos.2017.04.035
- Jahanshahi, S.; Babolian, E.; Torres, D.F.M.; Vahidi, A.R.. "A fractional Gauss–Jacobi quadrature rule for approximating fractional
integrals and derivatives". Chaos, Solitons and Fractals 102 (2017): 295-304. http://www.scopus.com/inward/record.url?eid=2-s2.0-85018747309&partnerID=MN8TOARS.
10.1016/j.chaos.2017.04.034
- Yang, X.-J.; Srivastava, H.M.; Torres, D.F.; Debbouche, A.. "General fractional-order anomalous diffusion with non-singular
power-law kernel". Thermal Science 21 (2017): S1-S9. http://www.scopus.com/inward/record.url?eid=2-s2.0-85036539788&partnerID=MN8TOARS.
10.2298/TSCI170610193Y
- Silva, C.J.; Torres, D.F.M.; Venturino, E.. "Optimal Spraying in Biological Control of Pests". Mathematical Modelling of
Natural Phenomena 12 3 (2017): 51-64. http://www.scopus.com/inward/record.url?eid=2-s2.0-85020045755&partnerID=MN8TOARS.
10.1051/mmnp/201712305
- Rachah, A.; Torres, D.F.M.. "Predicting and controlling the Ebola infection". Mathematical Methods in the Applied Sciences
40 17 (2017): 6155-6164. http://www.scopus.com/inward/record.url?eid=2-s2.0-84958576360&partnerID=MN8TOARS.
10.1002/mma.3841
- Silva, Cristiana J.; Maurer, Helmut; Torres, Delfim F.M.. "Optimal control of a tuberculosis model with state and control
delays". (2017): http://hdl.handle.net/10773/16643.
10.3934/mbe.2017021
- Guezane-Lakoud, Assia; Khaldi, Rabah; Torres, Delfim F. M.. "On a Fractional Oscillator Equation with Natural Boundary Conditions".
(2017): http://hdl.handle.net/10773/21364.
10.18576/pfda/030302
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.. "Fractional Herglotz variational problems of variable order". (2017):
http://hdl.handle.net/10400.8/3312.
10.3934/dcdss.2018009
- Chidouh, Amar; Guezane-Lakoud, Assia; Bebbouchi, Rachid; Bouaricha, Amor; Torres, Delfim F.M.. "Linear and nonlinear fractional
voigt models". (2017): http://hdl.handle.net/10773/16625.
10.1007/978-3-319-45474-0_15
- Yang, Xiao-Jun; Srivastava, H. M.; Torres, Delfim F. M.; Zhangy, Yudong. "Non-differentiable solutions for local fractional
nonlinear riccati differential equations". (2017): http://hdl.handle.net/10773/18072.
10.3233/FI-2017-1500
- Kermausuor, Seth; Nwaeze, Eze R.; Torres, Delfim F. M.. "Generalized weighted Ostrowski and Ostrowski-Gruss type inequalities
on time scales via a parameter function". (2017): http://hdl.handle.net/10773/21348.
10.7153/jmi-2017-11-88
- Chidouh, Amar; Torres, Delfim F.M.. "A generalized Lyapunov's inequality for a fractional boundary value problem". (2017):
http://hdl.handle.net/10773/16659.
10.1016/j.cam.2016.03.035
- Silva, Cristiana J.; Torres, Delfim F.M.. "A SICA compartmental model in epidemiology with application to HIV/AIDS in Cape
Verde". (2017): http://hdl.handle.net/10773/18070.
10.1016/j.ecocom.2016.12.001
- Bayour, Benaoumeur; Torres, Delfim F.M.. "Existence of solution to a local fractional nonlinear differential equation". (2017):
http://hdl.handle.net/10773/16624.
10.1016/j.cam.2016.01.014
- Lazo, Matheus J.; Torres, Delfim F. M.. "Variational calculus with conformable fractional derivatives". (2017): http://hdl.handle.net/10773/18071.
10.1109/JAS.2016.7510160
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.. "Constrained fractional variational problems of variable order". (2017):
http://hdl.handle.net/10773/16675.
10.1109/JAS.2017.7510331
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.. "Combined Fractional Variational Problems of Variable Order and Some
Computational Aspects". (2017): http://hdl.handle.net/10400.8/3309.
10.1016/j.cam.2017.04.042
- Abdeljawad, Thabet; Torres, Delfim F. M.. "Symmetric duality for left and right Riemann-Liouville and Caputo fractional differences".
(2017): http://hdl.handle.net/10773/21366.
10.1016/j.ajmsc.2016.07.001
- You, Xuexiao; Zhao, Dafang; Torres, Delfim F. M.. "On the Henstock-Kurzweil integral for Riesz-space-valued functions on time
scales". (2017): http://hdl.handle.net/10773/21368.
10.22436/jnsa.010.05.18
- Torres, Delfim F. M.; Nwaeze, Eze R.. "Chain rules and inequalities for the BHT fractional calculus on arbitrary timescales".
(2017): http://hdl.handle.net/10773/21346.
10.1007/s40065-016-0160-2
- Chidouh, Amar; Guezane-Lakoud, Assia; Bebbouchi, Rachid; Bouaricha, Amor; Torres, Delfim F.M.. "Linear and nonlinear fractional
voigt models". (2017): http://hdl.handle.net/10773/16625.
10.1007/978-3-319-45474-0_15
- Yang, Xiao-Jun; Srivastava, H. M.; Torres, Delfim F. M.; Zhangy, Yudong. "Non-differentiable solutions for local fractional
nonlinear riccati differential equations". (2017): http://hdl.handle.net/10773/18072.
10.3233/FI-2017-1500
- Silva, Cristiana J.; Maurer, Helmut; Torres, Delfim F.M.. "Optimal control of a tuberculosis model with state and control
delays". (2017): http://hdl.handle.net/10773/16643.
10.3934/mbe.2017021
- Lazo, Matheus J.; Torres, Delfim F. M.. "Variational calculus with conformable fractional derivatives". (2017): http://hdl.handle.net/10773/18071.
10.1109/JAS.2016.7510160
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.. "Combined Fractional Variational Problems of Variable Order and Some
Computational Aspects". (2017): http://hdl.handle.net/10400.8/3309.
10.1016/j.cam.2017.04.042
- Silva, Cristiana J.; Torres, Delfim F.M.. "A SICA compartmental model in epidemiology with application to HIV/AIDS in Cape
Verde". (2017): http://hdl.handle.net/10773/18070.
10.1016/j.ecocom.2016.12.001
- Guezane-Lakoud, Assia; Khaldi, Rabah; Torres, Delfim F. M.. "On a Fractional Oscillator Equation with Natural Boundary Conditions".
(2017): http://hdl.handle.net/10773/21364.
10.18576/pfda/030302
- Kermausuor, Seth; Nwaeze, Eze R.; Torres, Delfim F. M.. "Generalized weighted Ostrowski and Ostrowski-Gruss type inequalities
on time scales via a parameter function". (2017): http://hdl.handle.net/10773/21348.
10.7153/jmi-2017-11-88
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.. "Fractional Herglotz variational problems of variable order". (2017):
http://hdl.handle.net/10400.8/3312.
10.3934/dcdss.2018009
- Chidouh, Amar; Torres, Delfim F.M.. "A generalized Lyapunov's inequality for a fractional boundary value problem". (2017):
http://hdl.handle.net/10773/16659.
10.1016/j.cam.2016.03.035
- Abdeljawad, Thabet; Torres, Delfim F. M.. "Symmetric duality for left and right Riemann-Liouville and Caputo fractional differences".
(2017): http://hdl.handle.net/10773/21366.
10.1016/j.ajmsc.2016.07.001
- Torres, Delfim F. M.; Nwaeze, Eze R.. "Chain rules and inequalities for the BHT fractional calculus on arbitrary timescales".
(2017): http://hdl.handle.net/10773/21346.
10.1007/s40065-016-0160-2
- Bayour, Benaoumeur; Torres, Delfim F.M.. "Existence of solution to a local fractional nonlinear differential equation". (2017):
http://hdl.handle.net/10773/16624.
10.1016/j.cam.2016.01.014
- You, Xuexiao; Zhao, Dafang; Torres, Delfim F. M.. "On the Henstock-Kurzweil integral for Riesz-space-valued functions on time
scales". (2017): http://hdl.handle.net/10773/21368.
10.22436/jnsa.010.05.18
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.. "Constrained fractional variational problems of variable order". (2017):
http://hdl.handle.net/10773/16675.
10.1109/JAS.2017.7510331
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.. "Caputo derivatives of fractional variable order: Numerical approximations".
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 35 1 (2016): 69-87.
Publicado
- Benkhettou, N.; Hassani, S.; Torres, D.F.M.. "A conformable fractional calculus on arbitrary time scales". Journal of King
Saud University (Science) 28 1 (2016): 93-98.
Publicado
- Rachah, A.; Torres, D.F.M.. "Dynamics and Optimal Control of Ebola Transmission". Mathematics in Computer Science 10
3 (2016): 331-342.
Publicado
- Fard, O.S.; Torres, D.F.M.; Zadeh, M.R.. "A hukuhara approach to the study of hybrid fuzzy systems on time scales". Applicable
Analysis and Discrete Mathematics 10 1 (2016): 152-167.
Publicado
- Pierret, F.; Torres, D.F.M.. "Helmholtz Theorem for Nondifferentiable Hamiltonian Systems in the Framework of Cresson's Quantum
Calculus". Discrete Dynamics in Nature and Society 2016 1 (2016): 1-10.
Publicado
- Benkhettou, N.; Hammoudi, A.; Torres, D.F.M.. "Existence and uniqueness of solution for a fractional Riemann-Liouville initial
value problem on time scales". Journal of King Saud University (Science) 28 1 (2016): 87-92.
Publicado
- Rachah, Amira; Torres, Delfim F.M.. "Dynamics and optimal control of Ebola transmission". (2016): http://hdl.handle.net/10773/16655.
10.1007/s11786-016-0268-y
- Pierret, Frédéric; Torres, Delfim F.M.. "Helmholtz Theorem for nondifferentiable Hamiltonian systems in the framework of Cresson's
quantum calculus". (2016): http://hdl.handle.net/10773/16635.
Acesso aberto • 10.1155/2016/8073023
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.. "Caputo derivatives of fractional variable order: numerical approximations".
(2016): http://hdl.handle.net/10773/15022.
10.1016/j.cnsns.2015.10.027
- Santos, Simão P. S.; Martins, Natália; Torres, Delfim F.M.. "Higher-order variational problems of Herglotz type with time
delay". (2016): http://hdl.handle.net/10773/16669.
Acesso aberto
- Hincapié-Palacio, Doracelly; Ospina, Juan; Torres, Delfim F.M.. "Approximated analytical solution to an Ebola optimal control
problem". (2016): http://hdl.handle.net/10773/16626.
10.1080/15502287.2016.1231236
- Ortigueira, Manuel D.; Torres, Delfim F.M.; Trujillo, Juan J.. "Exponentials and Laplace transforms on nonuniform time scales".
(2016): http://hdl.handle.net/10773/16656.
10.1016/j.cnsns.2016.03.010
- Fard, Omid S.; Torres, Delfim F.M.; Zadeh, Mohadeseh R.. "A hukuhara approach to the study of hybrid fuzzy systems on time
scales". (2016): http://hdl.handle.net/10773/16638.
Acesso aberto • 10.2298/AADM160311004F
- Benkhettou, Nadia; Hammoudi, Ahmed; Torres, Delfim F.M.. "Existence and uniqueness of solution for a fractional Riemann-Liouville
initial value problem on time scales". (2016): http://hdl.handle.net/10773/16633.
Acesso aberto • 10.1016/j.jksus.2015.08.001
- Benkhettou, Nadia; Hassani, Salima; Torres, Delfim F.M.. "A conformable fractional calculus on arbitrary time scales". (2016):
http://hdl.handle.net/10773/16617.
Acesso aberto • 10.1016/j.jksus.2015.05.003
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Seasonality effects on dengue: basic reproduction
number, sensitivity analysis and optimal control". (2016): http://hdl.handle.net/1822/54406.
10.1002/mma.3319
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Seasonality effects on dengue: basic reproduction
number, sensitivity analysis and otpimal control". (2016): http://hdl.handle.net/10773/16472.
10.1002/mma.3319
- Benkhettou, Nadia; Brito da Cruz, Artur M.C.; Torres, Delfim F.M.. "Nonsymmetric and symmetric fractional calculi on arbitrary
nonempty closed sets". (2016): http://hdl.handle.net/10773/16667.
10.1002/mma.3475
- Denysiuk, Roman; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Costa, Lino; Espírito Santo, Isabel; Torres, Delfim F. M..
"Dengue disease: a multiobjective viewpoint". (2016): http://hdl.handle.net/10773/16498.
Acesso aberto
- Denysiuk, Roman; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Costa, Lino; Espírito Santo, I. A. C. P.; Torres, Delfim
F. M.. "Dengue disease: a multiobjective viewpoint". (2016): http://hdl.handle.net/1822/51201.
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.. "Caputo derivatives of fractional variable order: numerical approximations".
(2016): http://hdl.handle.net/10773/15022.
10.1016/j.cnsns.2015.10.027
- Rachah, Amira; Torres, Delfim F.M.. "Dynamics and optimal control of Ebola transmission". (2016): http://hdl.handle.net/10773/16655.
10.1007/s11786-016-0268-y
- Denysiuk, Roman; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Costa, Lino; Espírito Santo, I. A. C. P.; Torres, Delfim
F. M.. "Dengue disease: a multiobjective viewpoint". (2016): http://hdl.handle.net/1822/51201.
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.. "Constrained fractional variational problems of variable order". (2016):
http://hdl.handle.net/10400.8/3311.
10.1109/JAS.2017.7510331
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Seasonality effects on dengue: basic reproduction
number, sensitivity analysis and otpimal control". (2016): http://hdl.handle.net/10773/16472.
10.1002/mma.3319
- Santos, Simão P. S.; Martins, Natália; Torres, Delfim F.M.. "Higher-order variational problems of Herglotz type with time
delay". (2016): http://hdl.handle.net/10773/16669.
- Benkhettou, Nadia; Brito da Cruz, Artur M.C.; Torres, Delfim F.M.. "Nonsymmetric and symmetric fractional calculi on arbitrary
nonempty closed sets". (2016): http://hdl.handle.net/10773/16667.
10.1002/mma.3475
- Hincapié-Palacio, Doracelly; Ospina, Juan; Torres, Delfim F.M.. "Approximated analytical solution to an Ebola optimal control
problem". (2016): http://hdl.handle.net/10773/16626.
10.1080/15502287.2016.1231236
- Denysiuk, Roman; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Costa, Lino; Espírito Santo, Isabel; Torres, Delfim F. M..
"Dengue disease: a multiobjective viewpoint". (2016): http://hdl.handle.net/10773/16498.
- Benkhettou, Nadia; Hammoudi, Ahmed; Torres, Delfim F.M.. "Existence and uniqueness of solution for a fractional Riemann-Liouville
initial value problem on time scales". (2016): http://hdl.handle.net/10773/16633.
10.1016/j.jksus.2015.08.001
- Fard, Omid S.; Torres, Delfim F.M.; Zadeh, Mohadeseh R.. "A hukuhara approach to the study of hybrid fuzzy systems on time
scales". (2016): http://hdl.handle.net/10773/16638.
10.2298/AADM160311004F
- Benkhettou, Nadia; Hassani, Salima; Torres, Delfim F.M.. "A conformable fractional calculus on arbitrary time scales". (2016):
http://hdl.handle.net/10773/16617.
10.1016/j.jksus.2015.05.003
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Seasonality effects on dengue: basic reproduction
number, sensitivity analysis and optimal control". (2016): http://hdl.handle.net/1822/54406.
10.1002/mma.3319
- Pierret, Frédéric; Torres, Delfim F.M.. "Helmholtz Theorem for nondifferentiable Hamiltonian systems in the framework of Cresson's
quantum calculus". (2016): http://hdl.handle.net/10773/16635.
10.1155/2016/8073023
- Ortigueira, Manuel D.; Torres, Delfim F.M.; Trujillo, Juan J.. "Exponentials and Laplace transforms on nonuniform time scales".
(2016): http://hdl.handle.net/10773/16656.
10.1016/j.cnsns.2016.03.010
- Denysiuk, Roman; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Costa, Lino; Espírito Santo, Isabel; Torres, Delfim F. M..
"Dengue disease: a multiobjective viewpoint". (2016): http://hdl.handle.net/10773/16498.
- Fard, Omid S.; Torres, Delfim F.M.; Zadeh, Mohadeseh R.. "A hukuhara approach to the study of hybrid fuzzy systems on time
scales". (2016): http://hdl.handle.net/10773/16638.
10.2298/AADM160311004F
- Denysiuk, Roman; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Costa, Lino; Espírito Santo, I. A. C. P.; Torres, Delfim
F. M.. "Dengue disease: a multiobjective viewpoint". (2016): http://hdl.handle.net/1822/51201.
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Seasonality effects on dengue: basic reproduction
number, sensitivity analysis and optimal control". (2016): http://hdl.handle.net/1822/54406.
10.1002/mma.3319
- Benkhettou, Nadia; Brito da Cruz, Artur M.C.; Torres, Delfim F.M.. "Nonsymmetric and symmetric fractional calculi on arbitrary
nonempty closed sets". (2016): http://hdl.handle.net/10773/16667.
10.1002/mma.3475
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Seasonality effects on dengue: basic reproduction
number, sensitivity analysis and otpimal control". (2016): http://hdl.handle.net/10773/16472.
10.1002/mma.3319
- Hincapié-Palacio, Doracelly; Ospina, Juan; Torres, Delfim F.M.. "Approximated analytical solution to an Ebola optimal control
problem". (2016): http://hdl.handle.net/10773/16626.
10.1080/15502287.2016.1231236
- Ortigueira, Manuel D.; Torres, Delfim F.M.; Trujillo, Juan J.. "Exponentials and Laplace transforms on nonuniform time scales".
(2016): http://hdl.handle.net/10773/16656.
10.1016/j.cnsns.2016.03.010
- Santos, Simão P. S.; Martins, Natália; Torres, Delfim F.M.. "Higher-order variational problems of Herglotz type with time
delay". (2016): http://hdl.handle.net/10773/16669.
- Benkhettou, Nadia; Hammoudi, Ahmed; Torres, Delfim F.M.. "Existence and uniqueness of solution for a fractional Riemann-Liouville
initial value problem on time scales". (2016): http://hdl.handle.net/10773/16633.
10.1016/j.jksus.2015.08.001
- Benkhettou, Nadia; Hassani, Salima; Torres, Delfim F.M.. "A conformable fractional calculus on arbitrary time scales". (2016):
http://hdl.handle.net/10773/16617.
10.1016/j.jksus.2015.05.003
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.. "Caputo derivatives of fractional variable order: numerical approximations".
(2016): http://hdl.handle.net/10773/15022.
10.1016/j.cnsns.2015.10.027
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.. "Constrained fractional variational problems of variable order". (2016):
http://hdl.handle.net/10400.8/3311.
10.1109/JAS.2017.7510331
- Rachah, Amira; Torres, Delfim F.M.. "Dynamics and optimal control of Ebola transmission". (2016): http://hdl.handle.net/10773/16655.
10.1007/s11786-016-0268-y
- Pierret, Frédéric; Torres, Delfim F.M.. "Helmholtz Theorem for nondifferentiable Hamiltonian systems in the framework of Cresson's
quantum calculus". (2016): http://hdl.handle.net/10773/16635.
10.1155/2016/8073023
- Nadia Benkhettou; Artur M.C. Brito da Cruz; Delfim F.M. Torres. "A fractional calculus on arbitrary time scales: Fractional
differentiation and fractional integration". Signal Processing 107 (2015): 230-237. https://doi.org/10.1016%2Fj.sigpro.2014.05.026.
10.1016/j.sigpro.2014.05.026
- Tavares, D.; Almeida, R.; Torres, D.F.M.. "Optimality conditions for fractional variational problems with dependence on a
combined Caputo derivative of variable order". Optimization 64 6 (2015): 1381-1391.
Publicado
- Santos, S.P.S.; Martins, N.; Torres, D.F.M.. "Variational problems of Herglotz type with time delay: DuBois-Reymond condition
and Noether's first theorem". Discrete Contin. Dyn. Syst. 35 9 (2015): 4593-4610.
Publicado
- Rachah, A.; Torres, D.F.M.. "Mathematical modelling, simulation, and optimal control of the 2014 ebola outbreak in West Africa".
Discrete Dyn. Nat. Soc. 2015 1 (2015): Art. ID 842792-10.
Publicado
- Jahanshahi, S.; Babolian, E.; Torres, D.F.M.; Vahidi, A.. "Solving Abel integral equations of first kind via fractional calculus".
J. King Saud Univ. Sci. 27 2 (2015): 161-167.
Publicado
- Brito da Cruz, A.M.C.; Martins, N.; Torres, D.F.M.. "The Diamond Integral on Time Scales". Bull. Malays. Math. Sci. Soc.
38 4 (2015): 1453-1462.
Publicado
- Cristina Caputo, M.; Torres, Delfim F. M.. "Duality for the left and right fractional derivatives". SIGNAL PROCESSING
107 1 (2015): 265-271.
Publicado
- Debbouche, Amar; Torres, Delfim F. M.. "SOBOLEV TYPE FRACTIONAL DYNAMIC EQUATIONS AND OPTIMAL MULTI-INTEGRAL CONTROLS WITH
FRACTIONAL NONLOCAL CONDITIONS". FRACTIONAL CALCULUS AND APPLIED ANALYSIS 18 1 (2015): 95-121.
Publicado
- Taverna, Giorgio S.; Torres, Delfim F. M.. "Generalized fractional operators for nonstandard Lagrangians". MATHEMATICAL
METHODS IN THE APPLIED SCIENCES 38 9 (2015): 1808-1812.
Publicado
- Caputo, M. Cristina; Torres, Delfim F. M.. "Duality for the left and right fractional derivatives". (2015): http://hdl.handle.net/10773/15039.
10.1016/j.sigpro.2014.09.026
- Debbouche, Amar; Torres, Delfim F. M.. "Sobolev type fractional dynamic equations and Optimal multi-integral controls with
fractional nonlocal conditions". (2015): http://hdl.handle.net/10773/15036.
10.1515/fca-2015-0007
- Taverna, Giorgio S.; Torres, Delfim F. M.. "Generalized fractional operators for nonstandard Lagrangians". (2015): http://hdl.handle.net/10773/15035.
10.1002/mma.3188
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.. "Optimality Conditions for Fractional Variational Problems with Dependence
on a Combined Caputo Derivative of Variable Order". (2015): http://hdl.handle.net/10400.8/3533.
10.1080/02331934.2015.1010088
- Rocha, Filipa Portugal; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Coexistence of two dengue
virus serotypes and forecasting for Madeira Island". (2015): http://hdl.handle.net/1822/54405.
10.1016/j.orhc.2015.07.003
- Rocha, Filipa Portugal; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Coexistence of two dengue
virus serotypes and forecasting for Madeira Island". (2015): http://hdl.handle.net/10773/16482.
10.1016/j.orhc.2015.07.003
- Denysiuk, Roman; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Costa, Lino; Espírito Santo, Isabel; Torres, Delfim F. M..
"Multiobjective approach to optimal control for a dengue transmission model". (2015): http://hdl.handle.net/10773/16484.
Acesso aberto • 10.19139/soic.v3i3.144
- Denysiuk, Roman; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Costa, L.; Espírito Santo, I. A. C. P.; Torres, Delfim F.
M.. "Multiobjective approach to optimal control for a dengue transmission model". (2015): http://hdl.handle.net/1822/37064.
Acesso aberto • 10.19139/soic.v3i3.144
- Rachah, A.; Torres, D.F.M.. "Mathematical modelling, simulation, and optimal control of the 2014 ebola outbreak in West Africa".
Discrete Dynamics in Nature and Society 2015 (2015): http://www.scopus.com/inward/record.url?eid=2-s2.0-84930665233&partnerID=MN8TOARS.
10.1155/2015/842792
- Razminia, K.; Razminia, A.; Torres, D.F.M.. "Pressure responses of a vertically hydraulic fractured well in a reservoir with
fractal structure". Applied Mathematics and Computation 257 (2015): 374-380. http://www.scopus.com/inward/record.url?eid=2-s2.0-84925489912&partnerID=MN8TOARS.
10.1016/j.amc.2014.12.124
- Dryl, M.; Torres, D.F.M.. "A general delta-nabla calculus of variations on time scales with application to economics". International
Journal of Dynamical Systems and Differential Equations 5 1 (2015): 42-71. http://www.scopus.com/inward/record.url?eid=2-s2.0-84921732472&partnerID=MN8TOARS.
10.1504/IJDSDE.2014.067108
- Almeida, R.; Torres, D.F.M.. "A discrete method to solve fractional optimal control problems". Nonlinear Dynamics 80
4 (2015): 1811-1816. http://www.scopus.com/inward/record.url?eid=2-s2.0-84929521417&partnerID=MN8TOARS.
10.1007/s11071-014-1378-1
- Silva, C.J.; Torres, D.F.M.. "A TB-HIV/AIDS coinfection model and optimal control treatment". Discrete and Continuous Dynamical
Systems- Series A 35 9 (2015): 4639-4663. http://www.scopus.com/inward/record.url?eid=2-s2.0-84926618599&partnerID=MN8TOARS.
10.3934/dcds.2015.35.4639
- Denysiuk, R.; Silva, C.J.; Torres, D.F.M.. "Multiobjective approach to optimal control for a tuberculosis model". Optimization
Methods and Software 30 5 (2015): 893-910. http://www.scopus.com/inward/record.url?eid=2-s2.0-84940451914&partnerID=MN8TOARS.
10.1080/10556788.2014.994704
- Jahanshahi, S.; Babolian, E.; Torres, D.F.M.; Vahidi, A.. "Solving Abel integral equations of first kind via fractional calculus".
Journal of King Saud University - Science 27 2 (2015): 161-167. http://www.scopus.com/inward/record.url?eid=2-s2.0-84926214136&partnerID=MN8TOARS.
10.1016/j.jksus.2014.09.004
- Almeida, R.; Torres, D.F.M.. "Computing Hadamard type operators of variable fractional order". Applied Mathematics and
Computation 257 (2015): 74-88. http://www.scopus.com/inward/record.url?eid=2-s2.0-84925461334&partnerID=MN8TOARS.
10.1016/j.amc.2014.12.071
- Brito da Cruz, A.M.C.; Martins, N.; Torres, D.F.M.. "The Diamond Integral on Time Scales". Bulletin of the Malaysian Mathematical
Sciences Society 38 4 (2015): 1453-1462. http://www.scopus.com/inward/record.url?eid=2-s2.0-84941096448&partnerID=MN8TOARS.
10.1007/s40840-014-0096-7
- Santos, S.P.S.; Martins, N.; Torres, D.F.M.. "Variational problems of Herglotz type with time delay: DuBois-Reymond condition
and Noether's first theorem". Discrete and Continuous Dynamical Systems- Series A 35 9 (2015): 4593-4610. http://www.scopus.com/inward/record.url?eid=2-s2.0-84926636605&partnerID=MN8TOARS.
10.3934/dcds.2015.35.4593
- Denysiuk, Roman; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Costa, Lino; Espírito Santo, Isabel; Torres, Delfim F. M..
"Multiobjective approach to optimal control for a dengue transmission model". (2015): http://hdl.handle.net/10773/16484.
10.19139/soic.v3i3.144
- Denysiuk, Roman; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Costa, L.; Espírito Santo, I. A. C. P.; Torres, Delfim F.
M.. "Multiobjective approach to optimal control for a dengue transmission model". (2015): http://hdl.handle.net/1822/37064.
10.19139/soic.v3i3.144
- Rocha, Filipa Portugal; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Coexistence of two dengue
virus serotypes and forecasting for Madeira Island". (2015): http://hdl.handle.net/10773/16482.
10.1016/j.orhc.2015.07.003
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.. "Optimality Conditions for Fractional Variational Problems with Dependence
on a Combined Caputo Derivative of Variable Order". (2015): http://hdl.handle.net/10400.8/3533.
10.1080/02331934.2015.1010088
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.. "Caputo derivatives of fractional variable order: numerical approximations".
(2015): http://hdl.handle.net/10400.8/3310.
10.1016/j.cnsns.2015.10.027
- Rocha, Filipa Portugal; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Coexistence of two dengue
virus serotypes and forecasting for Madeira Island". (2015): http://hdl.handle.net/1822/54405.
10.1016/j.orhc.2015.07.003
- Debbouche, Amar; Torres, Delfim F. M.. "Sobolev type fractional dynamic equations and Optimal multi-integral controls with
fractional nonlocal conditions". (2015): http://hdl.handle.net/10773/15036.
10.1515/fca-2015-0007
- Taverna, Giorgio S.; Torres, Delfim F. M.. "Generalized fractional operators for nonstandard Lagrangians". (2015): http://hdl.handle.net/10773/15035.
10.1002/mma.3188
- Caputo, M. Cristina; Torres, Delfim F. M.. "Duality for the left and right fractional derivatives". (2015): http://hdl.handle.net/10773/15039.
10.1016/j.sigpro.2014.09.026
- Rocha, Filipa Portugal; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Coexistence of two dengue
virus serotypes and forecasting for Madeira Island". (2015): http://hdl.handle.net/1822/54405.
10.1016/j.orhc.2015.07.003
- Rocha, Filipa Portugal; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Coexistence of two dengue
virus serotypes and forecasting for Madeira Island". (2015): http://hdl.handle.net/10773/16482.
10.1016/j.orhc.2015.07.003
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.. "Optimality Conditions for Fractional Variational Problems with Dependence
on a Combined Caputo Derivative of Variable Order". (2015): http://hdl.handle.net/10400.8/3533.
10.1080/02331934.2015.1010088
- Debbouche, Amar; Torres, Delfim F. M.. "Sobolev type fractional dynamic equations and Optimal multi-integral controls with
fractional nonlocal conditions". (2015): http://hdl.handle.net/10773/15036.
10.1515/fca-2015-0007
- Taverna, Giorgio S.; Torres, Delfim F. M.. "Generalized fractional operators for nonstandard Lagrangians". (2015): http://hdl.handle.net/10773/15035.
10.1002/mma.3188
- Denysiuk, Roman; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Costa, Lino; Espírito Santo, Isabel; Torres, Delfim F. M..
"Multiobjective approach to optimal control for a dengue transmission model". (2015): http://hdl.handle.net/10773/16484.
10.19139/soic.v3i3.144
- Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.. "Caputo derivatives of fractional variable order: numerical approximations".
(2015): http://hdl.handle.net/10400.8/3310.
10.1016/j.cnsns.2015.10.027
- Denysiuk, Roman; Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Costa, L.; Espírito Santo, I. A. C. P.; Torres, Delfim F.
M.. "Multiobjective approach to optimal control for a dengue transmission model". (2015): http://hdl.handle.net/1822/37064.
10.19139/soic.v3i3.144
- Caputo, M. Cristina; Torres, Delfim F. M.. "Duality for the left and right fractional derivatives". (2015): http://hdl.handle.net/10773/15039.
10.1016/j.sigpro.2014.09.026
- Pooseh, S.; Almeida, R.; Torres, D.F.M.. "Fractional order optimal control problems with free terminal time". Journal of
Industrial and Management Optimization 10 2 (2014): 363-381.
Publicado
- Rodrigues, H.S.; Monteiro, M.T.T.; Torres, D.F.M.. "Vaccination models and optimal control strategies to dengue". Mathematical
Biosciences 247 1 (2014): 1-12.
Publicado
- Baleanu, D.; Bhrawy, A.H.; Torres, D.F.M.; Salahshour, S.. "Fractional and time-scales differential equations". Abstract
and Applied Analysis 2014 1 (2014): 1-10.
Publicado
- Dryl, M.; Torres, D.F.M.. "Necessary condition for an Euler-Lagrange equation on time scales". Abstract and Applied Analysis
2014 1 (2014): 1-7.
Publicado
- Lazo, M.J.; Torres, D.F.M.. "The Legendre condition of the fractional calculus of variations". Optimization 63 8 (2014):
1157-1165.
Publicado
- Debbouche, A.; Torres, D.F.M.. "Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions".
Applied Mathematics and Computation 243 1 (2014): 161-175.
Publicado
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Vaccination models and optimal control strategies
to dengue". (2014): http://hdl.handle.net/1822/25779.
Acesso aberto • 10.1016/j.mbs.2013.10.006
- Bourdin, L.; Odzijewicz, T.; Torres, D.F.M.. "Existence of minimizers for generalized lagrangian functionals and a necessary
optimality condition - Application to fractional variational problems". Differential and Integral Equations 27 7-8
(2014): 743-766. http://www.scopus.com/inward/record.url?eid=2-s2.0-84904091940&partnerID=MN8TOARS.
- Rodrigues, P.; Silva, C.J.; Torres, D.F.M.. "Cost-Effectiveness Analysis of Optimal Control Measures for Tuberculosis". Bulletin
of Mathematical Biology 76 10 (2014): 2627-2645. http://www.scopus.com/inward/record.url?eid=2-s2.0-84919398031&partnerID=MN8TOARS.
10.1007/s11538-014-0028-6
- Debbouche, A.; Torres, D.F.M.. "Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions".
Applied Mathematics and Computation 243 (2014): 161-175. http://www.scopus.com/inward/record.url?eid=2-s2.0-84903171444&partnerID=MN8TOARS.
10.1016/j.amc.2014.05.087
- Santos, S.P.S.; Martins, N.; Torres, D.F.M.. "Higher-Order Variational Problems of Herglotz Type". Vietnam Journal of Mathematics
42 4 (2014): 409-419. http://www.scopus.com/inward/record.url?eid=2-s2.0-84926624400&partnerID=MN8TOARS.
10.1007/s10013-013-0048-9
- Cristiana J. Silva; Delfim F. M. Torres. "Modeling TB-HIV Syndemic and Treatment". Journal of Applied Mathematics 2014
(2014): 1-14. http://dx.doi.org/10.1155/2014/248407.
10.1155/2014/248407
- Mohammed Benharrat; Delfim F. M. Torres. "Optimal Control with Time Delays via the Penalty Method". Mathematical Problems
in Engineering 2014 (2014): 1-9. http://dx.doi.org/10.1155/2014/250419.
10.1155/2014/250419
- Lazo, M.J.; Torres, D.F.M.. "The Legendre condition of the fractional calculus of variations". Optimization (2014):
http://www.scopus.com/inward/record.url?eid=2-s2.0-84893184852&partnerID=MN8TOARS.
10.1080/02331934.2013.877908
- Baleanu, D.; Bhrawy, A.H.; Torres, D.F.M.; Salahshour, S.. "Fractional and time-scales differential equations". Abstract
and Applied Analysis 2014 (2014): http://www.scopus.com/inward/record.url?eid=2-s2.0-84897753104&partnerID=MN8TOARS.
10.1155/2014/365250
- Pooseh, S.; Almeida, R.; Torres, D.F.M.. "Fractional order optimal control problems with free terminal time". Journal of
Industrial and Management Optimization 10 2 (2014): 363-381. http://www.scopus.com/inward/record.url?eid=2-s2.0-84886731385&partnerID=MN8TOARS.
10.3934/jimo.2014.10.363
- Frederico, G.S.F.; Odzijewicz, T.; Torres, D.F.M.. "Noether's theorem for non-smooth extremals of variational problems with
time delay". Applicable Analysis 93 1 (2014): 153-170. http://www.scopus.com/inward/record.url?eid=2-s2.0-84893730079&partnerID=MN8TOARS.
10.1080/00036811.2012.762090
- Dryl, M.; Torres, D.F.M.. "Necessary condition for an Euler-Lagrange equation on time scales". Abstract and Applied Analysis
2014 (2014): http://www.scopus.com/inward/record.url?eid=2-s2.0-84900015756&partnerID=MN8TOARS.
10.1155/2014/631281
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Vaccination models and optimal control strategies
to dengue". (2014): http://hdl.handle.net/1822/25779.
10.1016/j.mbs.2013.10.006
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Vaccination models and optimal control strategies
to dengue". (2014): http://hdl.handle.net/1822/25779.
10.1016/j.mbs.2013.10.006
- BASTOS, NUNO; Almeida, Ricardo; Torres, Delfim F. M.. "A Discretization Method to Solve Fractional Variational Problems with
Dependence on Hadamard Derivatives". International Journal of Difference Equations 9 1 (2014): 3-10.
Publicado
- Odzijewicz, T.; Malinowska, A.B.; Torres, D.F.M.. "A generalized fractional calculus of variations". Control and Cybernetics
42 2 (2013): 443-458.
Publicado
- Dryl, M.; Malinowska, A.B.; Torres, D.F.M.. "A time-scale variational approach to inflation, unemployment and social loss".
Control and Cybernetics 42 2 (2013): 399-418.
Publicado
- Debbouche, A.; Torres, D.F.M.. "Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces".
International Journal of Control 86 9 (2013): 1577-15.
Publicado
- Razminia, A.; Torres, D.F.M.. "Control of a novel chaotic fractional order system using a state feedback technique". Mechatronics
23 7 (2013): 755-763.
Publicado
- Rodrigues, H.S.; Monteiro, M.T.T.; Torres, D.F.M.. "Dengue in Cape Verde: Vector Control and Vaccination". Mathematical
Population Studies 20 4 (2013): 208-223.
Publicado
- Pooseh, S.; Almeida, R.; Torres, D.F.M.. "Discrete direct methods in the fractional calculus of variations". Computers
and Mathematics with Applications 66 5 (2013): 668-676.
Publicado
- Odzijewicz, T.; Malinowska, A.B.; Torres, D.F.M.. "Fractional calculus of variations of several independent variables". European
Physical Journal: Special Topics 222 8 (2013): 1813-18.
Publicado
- Frederico, G.S.F.; Torres, D.F.M.. "Fractional isoperimetric noether's theorem in the riemann-liouville sense". Reports
on Mathematical Physics 71 3 (2013): 291-304.
Publicado
- Odzijewicz, T.; Malinowska, A.B.; Torres, D.F.M.. "Green's theorem for generalized fractional derivatives". Fractional
Calculus and Applied Analysis 16 1 (2013): 64-75.
Publicado
- Odzijewicz, T.; Malinowska, A.B.; Torres, D.F.M.. "Noether's theorem for fractional variational problems of variable order".
Central European Journal of Physics 11 6 (2013): 691-701.
Publicado
- Pooseh, S.; Almeida, R.; Torres, D.F.M.. "Numerical approximations of fractional derivatives with applications". Asian
Journal of Control 15 3 (2013): 698-712.
Publicado
- Silva, C.J.; Torres, D.F.M.. "Optimal control for a tuberculosis model with reinfection and post-exposure interventions".
Mathematical Biosciences 244 2 (2013): 154-164.
Publicado
- Sidi Ammi, M.R.; Malinowska, A.B.; Torres, D.F.M.. "Optimal control for a steady state dead oil isotherm problem". Control
and Cybernetics 42 2 (2013): 459-470.
Publicado
- Brito Da Cruz, A.M.C.; Martins, N.; Torres, D.F.M.. "Symmetric differentiation on time scales". Applied Mathematics Letters
26 2 (2013): 264-269.
Publicado
- Lazo, M.J.; Torres, D.F.M.. "The DuBois-Reymond Fundamental Lemma of the Fractional Calculus of Variations and an Euler-Lagrange
Equation Involving Only Derivatives of Caputo". Journal of Optimization Theory and Applications 156 1 (2013): 56-67.
Publicado
- Khosravian-Arab, H.; Torres, D.F.M.. "Uniform approximation of fractional derivatives and integrals with application to fractional
differential equations". Nonlinear Studies 20 4 (2013): 533-548.
Publicado
- Brito da Cruz, A.M.C.; Martins, N.; Torres, D.F.M.. "Hahn's symmetric quantum variational calculus". Numerical Algebra,
Control and Optimization 3 1 (2013): 77-94.
Publicado
- Dryl, M.; Torres, D.F.M.. "Necessary optimality conditions for infinite horizon variational problems on time scales". Numerical
Algebra, Control and Optimization 3 1 (2013): 145-160.
Publicado
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Bioeconomic perspectives to an optimal control dengue
model". (2013): http://hdl.handle.net/1822/25135.
Acesso aberto • 10.1080/00207160.2013.790536
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Dengue in Cape Verde: vector control and vaccination".
(2013): http://hdl.handle.net/1822/25132.
Acesso aberto • 10.1080/08898480.2013.831711
- Razminia, A.; Torres, D.F.M.. "Control of a novel chaotic fractional order system using a state feedback technique". Mechatronics
23 7 (2013): 755-763. http://www.scopus.com/inward/record.url?eid=2-s2.0-84886239068&partnerID=MN8TOARS.
10.1016/j.mechatronics.2013.03.002
- Khosravian-Arab, H.; Torres, D.F.M.. "Uniform approximation of fractional derivatives and integrals with application to fractional
differential equations". Nonlinear Studies 20 4 (2013): 533-548. http://www.scopus.com/inward/record.url?eid=2-s2.0-84891814741&partnerID=MN8TOARS.
- Debbouche, A.; Torres, D.F.M.. "Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces".
International Journal of Control 86 9 (2013): 1577-1585. http://www.scopus.com/inward/record.url?eid=2-s2.0-84883552069&partnerID=MN8TOARS.
10.1080/00207179.2013.791927
- Sidi Ammi, M.R.; Malinowska, A.B.; Torres, D.F.M.. "Optimal control for a steady state dead oil isotherm problem". Control
and Cybernetics 42 2 (2013): 459-470. http://www.scopus.com/inward/record.url?eid=2-s2.0-84884605858&partnerID=MN8TOARS.
- Dryl, M.; Malinowska, A.B.; Torres, D.F.M.. "A time-scale variational approach to inflation, unemployment and social loss".
Control and Cybernetics 42 2 (2013): 399-418. http://www.scopus.com/inward/record.url?eid=2-s2.0-84884600961&partnerID=MN8TOARS.
- Odzijewicz, T.; Malinowska, A.B.; Torres, D.F.M.. "A generalized fractional calculus of variations". Control and Cybernetics
42 2 (2013): 443-458. http://www.scopus.com/inward/record.url?eid=2-s2.0-84884651655&partnerID=MN8TOARS.
- Frederico, G.S.F.; Torres, D.F.M.. "Fractional isoperimetric noether's theorem in the riemann-liouville sense". Reports
on Mathematical Physics 71 3 (2013): 291-304. http://www.scopus.com/inward/record.url?eid=2-s2.0-84880022655&partnerID=MN8TOARS.
10.1016/S0034-4877(13)60034-8
- Silva, C.J.; Torres, D.F.M.. "Optimal control for a tuberculosis model with reinfection and post-exposure interventions".
Mathematical Biosciences 244 2 (2013): 154-164. http://www.scopus.com/inward/record.url?eid=2-s2.0-84881227998&partnerID=MN8TOARS.
10.1016/j.mbs.2013.05.005
- Pooseh, S.; Almeida, R.; Torres, D.F.M.. "Discrete direct methods in the fractional calculus of variations". Computers
and Mathematics with Applications 66 5 (2013): 668-676. http://www.scopus.com/inward/record.url?eid=2-s2.0-84881477239&partnerID=MN8TOARS.
10.1016/j.camwa.2013.01.045
- Odzijewicz, T.; Malinowska, A.B.; Torres, D.F.M.. "Fractional calculus of variations of several independent variables". European
Physical Journal: Special Topics 222 8 (2013): 1813-1826. http://www.scopus.com/inward/record.url?eid=2-s2.0-84885036523&partnerID=MN8TOARS.
10.1140/epjst/e2013-01966-0
- Delfim F. M. Torres; Biswa N. Datta; Gastão S. F. Frederico; Natália Martins; Alexander J. Zaslavski. "The Cape Verde International
Days on Mathematics 2013". Conference Papers in Mathematics 2013 (2013): 1-2. http://dx.doi.org/10.1155/2013/673818.
10.1155/2013/673818
- Sidi Ammi, M.R.; Torres, D.F.M.. "Existence of three positive solutions to some p -laplacian boundary value problems". Discrete
Dynamics in Nature and Society 2013 (2013): http://www.scopus.com/inward/record.url?eid=2-s2.0-84874531962&partnerID=MN8TOARS.
10.1155/2013/145050
- Pooseh, S.; Almeida, R.; Torres, D.F.M.. "Numerical approximations of fractional derivatives with applications". Asian
Journal of Control 15 3 (2013): 698-712. http://www.scopus.com/inward/record.url?eid=2-s2.0-84877663185&partnerID=MN8TOARS.
10.1002/asjc.617
- Pooseh, S.; Almeida, R.; Torres, D.F.M.. "A discrete time method to the first variation of fractional order variational functionals".
Central European Journal of Physics 11 10 (2013): 1262-1267. http://www.scopus.com/inward/record.url?eid=2-s2.0-84890888593&partnerID=MN8TOARS.
10.2478/s11534-013-0250-0
- Odzijewicz, T.; Malinowska, A.B.; Torres, D.F.M.. "Noether's theorem for fractional variational problems of variable order".
Central European Journal of Physics 11 6 (2013): 691-701. http://www.scopus.com/inward/record.url?eid=2-s2.0-84885364454&partnerID=MN8TOARS.
10.2478/s11534-013-0208-2
- Lazo, M.J.; Torres, D.F.M.. "The DuBois-Reymond Fundamental Lemma of the Fractional Calculus of Variations and an Euler-Lagrange
Equation Involving Only Derivatives of Caputo". Journal of Optimization Theory and Applications 156 1 (2013): 56-67.
http://www.scopus.com/inward/record.url?eid=2-s2.0-84873987832&partnerID=MN8TOARS.
10.1007/s10957-012-0203-6
- Brito Da Cruz, A.M.C.; Martins, N.; Torres, D.F.M.. "Symmetric differentiation on time scales". Applied Mathematics Letters
26 2 (2013): 264-269. http://www.scopus.com/inward/record.url?eid=2-s2.0-84867889527&partnerID=MN8TOARS.
10.1016/j.aml.2012.09.005
- Odzijewicz, T.; Malinowska, A.B.; Torres, D.F.M.. "Green's theorem for generalized fractional derivatives". Fractional
Calculus and Applied Analysis 16 1 (2013): 64-75. http://www.scopus.com/inward/record.url?eid=2-s2.0-84871771124&partnerID=MN8TOARS.
10.2478/s13540-013-0005-z
- Dryl, M.; Torres, D.F.M.. "Necessary optimality conditions for infinite horizon variational problems on time scales". Numerical
Algebra, Control and Optimization 3 1 (2013): 145-160. http://www.scopus.com/inward/record.url?eid=2-s2.0-84892602881&partnerID=MN8TOARS.
10.3934/naco.2013.3.145
- Brito da Cruzv, A.M.C.; Martins, N.; Torres, D.F.M.. "Hahn's symmetric quantum variational calculus". Numerical Algebra,
Control and Optimization 3 1 (2013): 77-94. http://www.scopus.com/inward/record.url?eid=2-s2.0-84892611238&partnerID=MN8TOARS.
10.3934/naco.2013.3.77
- Cristiana J. Silva; Delfim F. M. Torres. "An Optimal Control Approach to Malaria Prevention via Insecticide-Treated Nets".
Conference Papers in Mathematics 2013 (2013): 1-8. http://dx.doi.org/10.1155/2013/658468.
10.1155/2013/658468
- Shakoor Pooseh; Ricardo Almeida; Delfim F. M. Torres. "A Numerical Scheme to Solve Fractional Optimal Control Problems". Conference
Papers in Mathematics 2013 (2013): 1-10. http://dx.doi.org/10.1155/2013/165298.
10.1155/2013/165298
- Almeida, R.; Torres, D.F.M.. "An expansion formula with higher-order derivatives for fractional operators of variable order".
The Scientific World Journal 2013 (2013): http://www.scopus.com/inward/record.url?eid=2-s2.0-84890106338&partnerID=MN8TOARS.
10.1155/2013/915437
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Dengue in Cape Verde: vector control and vaccination".
(2013): http://hdl.handle.net/1822/25132.
10.1080/08898480.2013.831711
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Bioeconomic perspectives to an optimal control dengue
model". (2013): http://hdl.handle.net/1822/25135.
10.1080/00207160.2013.790536
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Bioeconomic perspectives to an optimal control dengue
model". (2013): http://hdl.handle.net/1822/25135.
10.1080/00207160.2013.790536
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Dengue in Cape Verde: vector control and vaccination".
(2013): http://hdl.handle.net/1822/25132.
10.1080/08898480.2013.831711
- Pooseh, S.; Almeida, R.; Torres, D. F. M.. "Approximation of fractional integrals by means of derivatives". Computers &
Mathematics with Applications 64 10 (2012): 3090-31.
Publicado
- Pooseh, S.; Almeida, R.; Torres, D.F.M.. "Expansion formulas in terms of integer-order derivatives for the Hadamard fractional
integral and derivative". Numerical Functional Analysis and Optimization 33 3 (2012): 301-319.
Publicado
- Odzijewicz, T.; Malinowska, A.B.; Torres, D.F.M.. "Fractional variational calculus with classical and combined Caputo derivatives".
Nonlinear Analysis, Theory, Methods and Applications 75 3 (2012): 1507-15.
Publicado
- Odzijewicz, T.; Malinowska, A.B.; Torres, D.F.M.. "Generalized fractional calculus with applications to the calculus of variations".
Computers and Mathematics with Applications 64 10 (2012): 3351-33.
Publicado
- Almeida, R.; Pooseh, S.; Torres, D.F.M.. "Fractional variational problems depending on indefinite integrals". Nonlinear
Analysis, Theory, Methods and Applications 75 3 (2012): 1009-10.
Publicado
- Martins, N.; Torres, D.F.M.. "Higher-order infinite horizon variational problems in discrete quantum calculus". Computers
and Mathematics with Applications 64 7 (2012): 2166-21.
Publicado
- Ammi, M.R.S.; Torres, D.F.M.. "Optimal control of nonlocal thermistor equations". International Journal of Control
85 11 (2012): 1789-18.
Publicado
- Girejko, E.; Malinowska, A.B.; Torres, D.F.M.. "The contingent epiderivative and the calculus of variations on time scales".
Optimization 61 3 (2012): 251-264.
Publicado
- Martins, Natalia; Torres, Delfim F. M.. "Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems
on Time Scales". Journal of Optimization Theory and Applications 155 2 (2012): 453-476.
Publicado
- Cresson, Jacky; Malinowska, Agnieszka B.; Torres, Delfim F. M.. "Time scale differential, integral, and variational embeddings
of Lagrangian systems". Computers & Mathematics With Applications 64 7 (2012): 2294-23.
Publicado
- Aldwoah, K.A.; Malinowska, A.B.; Torres, D.F.M.. "The power quantum calculus and variational problems". Dynamics of Continuous,
Discrete and Impulsive Systems Series B: Applications and Algorithms 19 1-2 (2012): 93-116.
Publicado
- Girejko, E.; Torres, D.F.M.. "The existence of solutions for dynamic inclusions on time scales via duality". Applied Mathematics
Letters 25 11 (2012): 1632-16.
Publicado
- Malinowska, A.B.; Torres, D.F.M.. "Towards a combined fractional mechanics and quantization". Fractional Calculus and Applied
Analysis 15 3 (2012): 407-417.
Publicado
- Frederico, G.S.F.; Torres, D.F.M.. "Noether's symmetry theorem for variational and optimal control problems with time delay".
Numerical Algebra, Control and Optimization 2 3 (2012): 619-630.
Publicado
- Silva, C.J.; Torres, D.F.M.. "Optimal control strategies for tuberculosis treatment: A case study in Angola". Numerical
Algebra, Control and Optimization 2 3 (2012): 601-617.
Publicado
- Almeida, Ricardo; Ferreira, Rui A. C.; Torres, Delfim F. M.. "Isoperimetric problems of the calculus of variations with fractional
derivatives". (2012): http://hdl.handle.net/10773/10760.
Acesso aberto • 10.1016/S0252-9602(12)60043-5
- Monteiro, M. Teresa T.; Torres, Delfim F. M.; Zinober, Alan; Rodrigues, Helena Sofia. "Dengue disease, basic reproduction
number and control". (2012): http://hdl.handle.net/1822/15161.
Acesso aberto • 10.1080/00207160.2011.554540
- Cruz, Artur M. C. Brito da; Martins, Natália; Torres, Delfim F. M.. "Higher-order Hahn's quantum variational calculus". (2012):
http://hdl.handle.net/10773/6943.
Acesso aberto • 10.1016/j.na.2011.01.015
- Odzijewicz, T.; Malinowska, A.B.; Torres, D.F.M.. "Generalized fractional calculus with applications to the calculus of variations".
Computers and Mathematics with Applications 64 10 (2012): 3351-3366. http://www.scopus.com/inward/record.url?eid=2-s2.0-84868208170&partnerID=MN8TOARS.
10.1016/j.camwa.2012.01.073
- Girejko, E.; Torres, D.F.M.. "The existence of solutions for dynamic inclusions on time scales via duality". Applied Mathematics
Letters 25 11 (2012): 1632-1637. http://www.scopus.com/inward/record.url?eid=2-s2.0-84865636686&partnerID=MN8TOARS.
10.1016/j.aml.2012.01.026
- Pooseh, S.; Almeida, R.; Torres, D.F.M.. "Expansion formulas in terms of integer-order derivatives for the Hadamard fractional
integral and derivative". Numerical Functional Analysis and Optimization 33 3 (2012): 301-319. http://www.scopus.com/inward/record.url?eid=2-s2.0-84862296342&partnerID=MN8TOARS.
10.1080/01630563.2011.647197
- Martins, N.; Torres, D.F.M.. "Higher-order infinite horizon variational problems in discrete quantum calculus". Computers
and Mathematics with Applications 64 7 (2012): 2166-2175. http://www.scopus.com/inward/record.url?eid=2-s2.0-84866123825&partnerID=MN8TOARS.
10.1016/j.camwa.2011.12.006
- Cresson, J.; Malinowska, A.B.; Torres, D.F.M.. "Time scale differential, integral, and variational embeddings of Lagrangian
systems". Computers and Mathematics with Applications 64 7 (2012): 2294-2301. http://www.scopus.com/inward/record.url?eid=2-s2.0-84866115504&partnerID=MN8TOARS.
10.1016/j.camwa.2012.03.003
- Ammi, M.R.S.; Torres, D.F.M.. "Optimal control of nonlocal thermistor equations". International Journal of Control
85 11 (2012): 1789-1801. http://www.scopus.com/inward/record.url?eid=2-s2.0-84867006357&partnerID=MN8TOARS.
10.1080/00207179.2012.703789
- Pooseh, S.; Almeida, R.; Torres, D.F.M.. "Approximation of fractional integrals by means of derivatives". Computers and
Mathematics with Applications 64 10 (2012): 3090-3100. http://www.scopus.com/inward/record.url?eid=2-s2.0-84867468500&partnerID=MN8TOARS.
10.1016/j.camwa.2012.01.068
- Odzijewicz, T.; Malinowska, A.B.; Torres, D.F.M.. "Fractional calculus of variations in terms of a generalized fractional
integral with applications to physics". Abstract and Applied Analysis 2012 (2012): http://www.scopus.com/inward/record.url?eid=2-s2.0-84862276520&partnerID=MN8TOARS.
10.1155/2012/871912
- Silva, C.J.; Torres, D.F.M.. "Optimal control strategies for tuberculosis treatment: A case study in Angola". Numerical
Algebra, Control and Optimization 2 3 (2012): 601-617. http://www.scopus.com/inward/record.url?eid=2-s2.0-84892398225&partnerID=MN8TOARS.
10.3934/naco.2012.2.601
- Frederico, G.S.F.; Torres, D.F.M.. "Noether's symmetry theorem for variational and optimal control problems with time delay".
Numerical Algebra, Control and Optimization 2 3 (2012): 619-630. http://www.scopus.com/inward/record.url?eid=2-s2.0-84889811581&partnerID=MN8TOARS.
10.3934/naco.2012.2.619
- Malinowska, A.B.; Torres, D.F.M.. "Towards a combined fractional mechanics and quantization". Fractional Calculus and Applied
Analysis 15 3 (2012): 407-417. http://www.scopus.com/inward/record.url?eid=2-s2.0-84869195911&partnerID=MN8TOARS.
10.2478/s13540-012-0029-9
- Girejko, E.; Malinowska, A.B.; Torres, D.F.M.. "The contingent epiderivative and the calculus of variations on time scales".
Optimization 61 3 (2012): 251-264. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856931004&partnerID=MN8TOARS.
10.1080/02331934.2010.506615
- Martins, N.; Torres, D.F.M.. "Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time
Scales". Journal of Optimization Theory and Applications 155 2 (2012): 453-476. http://www.scopus.com/inward/record.url?eid=2-s2.0-84869126412&partnerID=MN8TOARS.
10.1007/s10957-012-0065-y
- Ammi, M.R.S.; El Kinani, E.H.; Torres, D.F.M.. "Existence and uniqueness of solutions to functional integro-differential fractional
equations". Electronic Journal of Differential Equations 2012 (2012): http://www.scopus.com/inward/record.url?eid=2-s2.0-84863544136&partnerID=MN8TOARS.
- Almeida, R.; Pooseh, S.; Torres, D.F.M.. "Fractional variational problems depending on indefinite integrals". Nonlinear
Analysis, Theory, Methods and Applications 75 3 (2012): 1009-1025. http://www.scopus.com/inward/record.url?eid=2-s2.0-82155197606&partnerID=MN8TOARS.
10.1016/j.na.2011.02.028
- Odzijewicz, T.; Malinowska, A.B.; Torres, D.F.M.. "Fractional variational calculus with classical and combined Caputo derivatives".
Nonlinear Analysis, Theory, Methods and Applications 75 3 (2012): 1507-1515. http://www.scopus.com/inward/record.url?eid=2-s2.0-79961009317&partnerID=MN8TOARS.
10.1016/j.na.2011.01.010
- Aldwoah, K.A.; Malinowska, A.B.; Torres, D.F.M.. "The power quantum calculus and variational problems". Dynamics of Continuous,
Discrete and Impulsive Systems Series B: Applications and Algorithms 19 1-2 (2012): 93-116. http://www.scopus.com/inward/record.url?eid=2-s2.0-84857290903&partnerID=MN8TOARS.
- Malinowska, A.B.; Torres, D.F.M.. "Multiobjective fractional variational calculus in terms of a combined Caputo derivative".
Applied Mathematics and Computation 218 9 (2012): 5099-5111. http://www.scopus.com/inward/record.url?eid=2-s2.0-83555172512&partnerID=MN8TOARS.
10.1016/j.amc.2011.10.075
- Almeida, Ricardo; Ferreira, Rui A. C.; Torres, Delfim F. M.. "Isoperimetric problems of the calculus of variations with fractional
derivatives". (2012): http://hdl.handle.net/10773/10760.
10.1016/S0252-9602(12)60043-5
- Cruz, Artur M. C. Brito da; Martins, Natália; Torres, Delfim F. M.. "Higher-order Hahn's quantum variational calculus". (2012):
http://hdl.handle.net/10773/6943.
10.1016/j.na.2011.01.015
- Monteiro, M. Teresa T.; Torres, Delfim F. M.; Zinober, Alan; Rodrigues, Helena Sofia. "Dengue disease, basic reproduction
number and control". (2012): http://hdl.handle.net/1822/15161.
10.1080/00207160.2011.554540
- Monteiro, M. Teresa T.; Torres, Delfim F. M.; Zinober, Alan; Rodrigues, Helena Sofia. "Dengue disease, basic reproduction
number and control". (2012): http://hdl.handle.net/1822/15161.
10.1080/00207160.2011.554540
- Cruz, Artur M. C. Brito da; Martins, Natália; Torres, Delfim F. M.. "Higher-order Hahn's quantum variational calculus". (2012):
http://hdl.handle.net/10773/6943.
10.1016/j.na.2011.01.015
- Almeida, Ricardo; Ferreira, Rui A. C.; Torres, Delfim F. M.. "Isoperimetric problems of the calculus of variations with fractional
derivatives". (2012): http://hdl.handle.net/10773/10760.
10.1016/S0252-9602(12)60043-5
- Mozyrska, Dorota; Torres, Delfim F.M.. "Modified optimal energy and initial memory of fractional continuous-time linear systems".
Signal Processing 91 3 (2011): 379-385. http://arxiv.org/abs/1007.3946.
Publicado • 10.1016/j.sigpro.2010.07.016
- Ferreira, Rui A.C.; Malinowska, Agnieszka B.; Torres, Delfim F.M.. "Optimality conditions for the calculus of variations with
higher-order delta derivatives". Applied Mathematics Letters 24 1 (2011): 87-92. http://arxiv.org/abs/1008.1504.
Publicado • 10.1016/j.aml.2010.08.023
- Bastos, Nuno R.O.; Ferreira, Rui A.C.; Torres, Delfim F.M.. "Discrete-time fractional variational problems". Signal Processing
91 3 (2011): 513-524. http://arxiv.org/abs/1005.0252.
Publicado • 10.1016/j.sigpro.2010.05.001
- Bartosiewixz, Zibniew; Martins, Natalia; Torres, Delfim F.M.. "The Second Euler-Lagrange Equation of Variational Calculus
on Time Scales". European Journal of Control 17 1 (2011): 9-18. http://arxiv.org/abs/1003.5826.
Publicado • 10.3166/ejc.17.9-18
- Almeida, Ricardo; Torres, Delfim F.M.. "Necessary and sufficient conditions for the fractional calculus of variations with
Caputo derivatives". Communications in Nonlinear Science and Numerical Simulation 16 3 (2011): 1490-1500. http://arxiv.org/abs/1007.2937.
Publicado • 10.1016/j.cnsns.2010.07.016
- Malinowska, A.B.; Torres, D.F.M.. "Backward variational approach on time scales with an action depending on the free endpoints".
Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences 66 6-7 (2011): 401-410.
Publicado
- Girejko, E.; Malinowska, A.B.; Torres, D.F.M.. "Delta-nabla optimal control problems". JVC/Journal of Vibration and Control
17 11 (2011): 1634-16.
Publicado
- Ferreira, R.A.C.; Torres, D.F.M.. "Fractional h-difference equations arising from the calculus of variations". Applicable
Analysis and Discrete Mathematics 5 1 (2011): 110-121.
Publicado
- Almeida, R.; Torres, D.F.M.. "Fractional variational calculus for nondifferentiable functions". Computers and Mathematics
with Applications 61 10 (2011): 3097-31.
Publicado
- Martins, Natália; Torres, DFM. "Generalizing the variational theory on time scales to include the delta indefinite integral".
Computers & Mathematics With Applications 61 9 (2011): 2424-24.
Publicado
- Malinowska, A.B.; Torres, D.F.M.. "Fractional calculus of variations for a combined Caputo derivative". Fractional Calculus
and Applied Analysis 14 4 (2011): 523-537.
Publicado
- Odzijewicz, T.; Torres, D.F.M.. "Fractional calculus of variations for double integrals". Balkan Journal of Geometry and
its Applications 16 2 (2011): 102-113.
Publicado
- Almeida, R.; Torres, D.F.M.. "Nondifferentiable variational principles in terms of a quantum operator". Mathematical Methods
in the Applied Sciences 34 18 (2011): 2231-22.
Publicado
- Mozyrska, D.; Pawluszewicz, E.; Torres, D.F.M.. "Inequalities and majorisations for the riemann-stieltjes integral on time
scales". Mathematical Inequalities and Applications 14 2 (2011): 281-293.
Publicado
- de Pinho, MD; Fontes, FACC; Torres, DFM. "Special Section on Nonsmooth Analysis, Control and Optimization". European Journal
of Control 17 1 (2011): 7-8.
Publicado
- de Pinho, MD; Ferreira, MMA; Fontes, FACC; Pereira, FL; Smirnov, G.; Torres, DFM. "Special Issue on Control, Nonsmooth Analysis
and Optimization Celebrating the 60th Birthday of Francis Clarke and Richard Vinter PREFACE". Discrete and Continuous Dynamical
Systems 29 2 (2011): I-II.
Publicado
- Bartosiewicz, Z.; Martins, N.; Torres, D.F.M.. "The second Euler-Lagrange equation of variational calculus on time scales".
European Journal of Control 17 1 (2011): 9-18.
Publicado
- Almeida, Ricardo; Torres, Del¿m F. M.. "Nondifferentiable variational principles in terms of a quantum operator". (2011):
http://hdl.handle.net/10773/10336.
10.1002/mma.1523
- Célia T. L. M. Pereira; João Pedro Cruz; Delfim Torres. "A discrete algorithm to the calculus of variations". (2011): http://hdl.handle.net/10773/4453.
- Maria do Rosario de Pinho; M.M.A. Ferreira; F. A. C. C. Fontes; Fernando Lobo Pereira; Delfim F. M. Torres. "Preface-Special
Issue of the Discrete and Continuous Dynamical Systems - Series A, In celebration of the 60th birthday of Francis Clarke and
Richard Vinter". (2011): http://hdl.handle.net/10216/97656.
doi:10.3934/dcds.2011.29.2i
- Pinho, Maria do Rosário; Ferreira, M. Margarida Amorim Ferreira; Fontes, Fernando A. C. C.; Pereira, Fernando L.; Smirnov,
G.; Torres, Delfim F. M.. "Discrete and continuous dynamical systems: preface". (2011): http://hdl.handle.net/10773/5545.
Acesso aberto
- Do Rosário De Pinho, M.; Ferreira, M.M.A.; Fontes, F.A.C.C.; Pereira, F.L.; Smirnov, G.; Torres, D.F.M.. "Discrete and Continuous
Dynamical Systems: Preface". Discrete and Continuous Dynamical Systems 29 2 (2011): http://www.scopus.com/inward/record.url?eid=2-s2.0-79954490819&partnerID=MN8TOARS.
10.3934/dcds.2011.29.2i
- Malinowska, A.B.; Torres, D.F.M.. "Fractional calculus of variations for a combined Caputo derivative". Fractional Calculus
and Applied Analysis 14 4 (2011): 523-537. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856342754&partnerID=MN8TOARS.
10.2478/s13540-011-0032-6
- Girejko, E.; Malinowska, A.B.; Torres, D.F.M.. "Delta-nabla optimal control problems". JVC/Journal of Vibration and Control
17 11 (2011): 1634-1643. http://www.scopus.com/inward/record.url?eid=2-s2.0-80054743491&partnerID=MN8TOARS.
10.1177/1077546310381271
- Odzijewicz, T.; Torres, D.F.M.. "Fractional calculus of variations for double integrals". Balkan Journal of Geometry and
its Applications 16 2 (2011): 102-113. http://www.scopus.com/inward/record.url?eid=2-s2.0-79954507662&partnerID=MN8TOARS.
- Almeida, R.; Torres, D.F.M.. "Fractional variational calculus for nondifferentiable functions". Computers and Mathematics
with Applications 61 10 (2011): 3097-3104. http://www.scopus.com/inward/record.url?eid=2-s2.0-79955797338&partnerID=MN8TOARS.
10.1016/j.camwa.2011.03.098
- Martins, N.; Torres, D.F.M.. "Generalizing the variational theory on time scales to include the delta indefinite integral".
Computers and Mathematics with Applications 61 9 (2011): 2424-2435. http://www.scopus.com/inward/record.url?eid=2-s2.0-79955479977&partnerID=MN8TOARS.
10.1016/j.camwa.2011.02.022
- Malinowska, A.B.; Torres, D.F.M.. "Backward variational approach on time scales with an action depending on the free endpoints".
Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences 66 6-7 (2011): 401-410. http://www.scopus.com/inward/record.url?eid=2-s2.0-79959992288&partnerID=MN8TOARS.
- Mozyrska, D.; Pawluszewicz, E.; Torres, D.F.M.. "Inequalities and majorisations for the riemann-stieltjes integral on time
scales". Mathematical Inequalities and Applications 14 2 (2011): 281-293. http://www.scopus.com/inward/record.url?eid=2-s2.0-79952096815&partnerID=MN8TOARS.
- Ferreira, R.A.C.; Torres, D.F.M.. "Fractional h-difference equations arising from the calculus of variations". Applicable
Analysis and Discrete Mathematics 5 1 (2011): 110-121. http://www.scopus.com/inward/record.url?eid=2-s2.0-79953329384&partnerID=MN8TOARS.
10.2298/AADM110131002F
- Pinho, Maria do Rosário; Ferreira, M. Margarida Amorim Ferreira; Fontes, Fernando A. C. C.; Pereira, Fernando L.; Smirnov,
G.; Torres, Delfim F. M.. "Discrete and continuous dynamical systems: preface". (2011): http://hdl.handle.net/10773/5545.
- Almeida, Ricardo; Torres, Del¿m F. M.. "Nondifferentiable variational principles in terms of a quantum operator". (2011):
http://hdl.handle.net/10773/10336.
10.1002/mma.1523
- Célia T. L. M. Pereira; João Pedro Cruz; Delfim Torres. "A discrete algorithm to the calculus of variations". (2011): http://hdl.handle.net/10773/4453.
- Célia T. L. M. Pereira; João Pedro Cruz; Delfim Torres. "A discrete algorithm to the calculus of variations". (2011): http://hdl.handle.net/10773/4453.
- Pinho, Maria do Rosário; Ferreira, M. Margarida Amorim Ferreira; Fontes, Fernando A. C. C.; Pereira, Fernando L.; Smirnov,
G.; Torres, Delfim F. M.. "Discrete and continuous dynamical systems: preface". (2011): http://hdl.handle.net/10773/5545.
- Almeida, Ricardo; Torres, Del¿m F. M.. "Nondifferentiable variational principles in terms of a quantum operator". (2011):
http://hdl.handle.net/10773/10336.
10.1002/mma.1523
- BASTOS, NUNO; Torres, Delfim F. M.. "Fractional derivatives and integrals on time scales via the inverse generalized Laplace
transform". International Journal of Mathematics & Computation 11 11 (2011):
Publicado
- Malinowska, Agnieszka B.; Torres, Delfim F. M.. "A general backwards calculus of variations via duality". Optimization
Letters in press (2010): 1-13. http://arxiv.org/abs/1007.1679.
Aceite para publicação • 10.1007/s11590-010-0222-x
- Torres, Delfim; Malinowska, Agnieszka. "Euler-Lagrange equations for composition functionals in calculus of variations on
time scales". Discrete and Continuous Dynamical Systems 29 2 (2010): 577-593. http://arxiv.org/abs/1007.0584.
Publicado • 10.3934/dcds.2011.29.577
- Malinowska, Agnieszka B.; Martins, Natália; Torres, Delfim F. M.. "Transversality conditions for infinite horizon variational
problems on time scales". Optimization Letters 5 1 (2010): 41-53. http://arxiv.org/abs/1003.3931.
Publicado • 10.1007/s11590-010-0189-7
- Bastos, Nuno; Ferreira, Rui; Torres, Delfim. "Necessary optimality conditions for fractional difference problems of the calculus
of variations". Discrete and Continuous Dynamical Systems 29 2 (2010): 417-437. http://arxiv.org/abs/1007.0594.
Publicado • 10.3934/dcds.2011.29.417
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F.M.. "Dynamics of Dengue epidemics when using optimal control".
Mathematical and Computer Modelling 52 9-10 (2010): 1667-1673. http://arxiv.org/abs/1006.4392.
Publicado • 10.1016/j.mcm.2010.06.034
- Pawluszewicz, Ewa; Torres, Delfim F.M.. "Backward linear control systems on time scales". International Journal of Control
83 8 (2010): 1573-1580. http://arxiv.org/abs/1004.0541.
Publicado • 10.1080/00207179.2010.483562
- Pawluszewicz, E.; Torres, D. F. M.. "Avoidance Control on Time Scales". Journal of Optimization Theory and Applications
145 3 (2010): 527-542. http://arxiv.org/abs/0910.3308.
Publicado • 10.1007/s10957-010-9694-1
- Mozyrska, Dorota; Torres, Delfim F.M.. "Minimal modified energy control for fractional linear control systems with the Caputo
derivative". Carpathian Journal of Mathematics 26 2 (2010): 210-221. http://arxiv.org/abs/1004.3113.
Publicado
- Martins, Natália; Torres, Delfim F.M.. "Noether’s symmetry theorem for nabla problems of the calculus of variations". Applied
Mathematics Letters 23 12 (2010): 1432-1438. http://arxiv.org/abs/1007.5178.
Publicado • 10.1016/j.aml.2010.07.013
- Malinowska, A. B.; Torres, D. F. M.. "The Hahn Quantum Variational Calculus". Journal of Optimization Theory and Applications
147 3 (2010): 419-442. http://arxiv.org/abs/1006.3765.
Publicado • 10.1007/s10957-010-9730-1
- Malinowska, Agnieszka B.; Torres, Delfim F.M.. "Leitmann’s direct method of optimization for absolute extrema of certain problems
of the calculus of variations on time scales". Applied Mathematics and Computation 217 3 (2010): 1158-1162. http://arxiv.org/abs/1001.1455.
Publicado • 10.1016/j.amc.2010.01.015
- Malinowska, Agnieszka B.; Torres, Delfim F.M.. "Generalized natural boundary conditions for fractional variational problems
in terms of the Caputo derivative". Computers & Mathematics with Applications 59 9 (2010): 3110-3116. http://arxiv.org/abs/1002.3790.
Publicado • 10.1016/j.camwa.2010.02.032
- Malinowska, Agnieszka B.; Torres, Delfim F. M.. "Natural boundary conditions in the calculus of variations". Mathematical
Methods in the Applied Sciences 33 14 (2010): 1712-1722. http://arxiv.org/abs/0812.0705.
Publicado • 10.1002/mma.1289
- Frederico, Gastão S.F.; Torres, Delfim F.M.. "Fractional Noether’s theorem in the Riesz-Caputo sense". Applied Mathematics
and Computation 217 3 (2010): 1023-1033. http://arxiv.org/abs/1001.4507.
Publicado • 10.1016/j.amc.2010.01.100
- Bohner, Martin J.; Ferreira, Rui A. C.; Torres, Delfim F. M.. "Integral inequalities and their applications to the calculus
of variations on time scales". Mathematical Inequalities & Applications 13 3 (2010): 511-522. http://arxiv.org/abs/1001.3762.
Publicado
- Almeida, Ricardo; Torres, Delfim F. M.. "Generalized Euler-Lagrange Equations for Variational Problems with Scale Derivatives".
Letters in Mathematical Physics 92 3 (2010): 221-229. http://arxiv.org/abs/1003.3133.
Publicado • 10.1007/s11005-010-0385-5
- Almeida, Ricardo; Torres, Delfim F.M.. "Leitmann’s direct method for fractional optimization problems". Applied Mathematics
and Computation 217 3 (2010): 956-962. http://arxiv.org/abs/1003.3088.
Publicado • 10.1016/j.amc.2010.03.085
- Almeida, Ricardo; Malinowska, Agnieszka B.; Torres, Delfim F. M.. "A fractional calculus of variations for multiple integrals
with application to vibrating string". Journal of Mathematical Physics 51 3 (2010): 033503-033503. http://arxiv.org/abs/1001.2722.
Publicado • 10.1063/1.3319559
- Cruz, P.A.F.; Torres, D.F.M.; Zinober, A.S.I.. "A non-classical class of variational problems". International Journal of
Mathematical Modelling and Numerical Optimisation 1 3 (2010): 227-236.
Publicado
- Pawluszewicz, E.; Torres, D.F.M.. "Avoidance control on time scales". Journal of Optimization Theory and Applications
145 3 (2010): 527-542.
Publicado
- Frederico, G.S.F.; Torres, D.F.M.. "Fractional Noether's theorem in the Riesz-Caputo sense". Applied Mathematics and Computation
217 3 (2010): 1023-10.
Publicado
- Mozyrska, D.; Pawluszewicz, E.; Torres, D.F.M.. "The riemann-stieltjes integral on time scales". Australian Journal of
Mathematical Analysis and Applications 7 1 (2010): 1-14.
Publicado
- Martins, N.; Torres, D.F.M.. "Noether's symmetry theorem for nabla problems of the calculus of variations". Applied Mathematics
Letters 23 12 (2010): 1432-14.
Publicado
- Malinowska, A.B.; Torres, D.F.M.. "Leitmann's direct method of optimization for absolute extrema of certain problems of the
calculus of variations on time scales". Applied Mathematics and Computation 217 3 (2010): 1158-11.
Publicado
- Almeida, R.; Torres, D.F.M.. "Leitmann's direct method for fractional optimization problems". Applied Mathematics and Computation
217 3 (2010): 956-962.
Publicado
- João Pedro Cruz; Delfim Torres; Alan S. I. Zinober. "A non-classical class of variational problems". (2010): http://hdl.handle.net/10773/4454.
Acesso aberto
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Dynamics of Dengue epidemics using optimal control".
(2010): http://hdl.handle.net/1822/14474.
Acesso aberto
- Mozyrska, D.; Torres, D.F.M.. "Minimal modified energy control for fractional linear control systems with the Caputo derivative".
Carpathian Journal of Mathematics 26 2 (2010): 210-221. http://www.scopus.com/inward/record.url?eid=2-s2.0-78049320912&partnerID=MN8TOARS.
- Cruz, P.A.F.; Torres, D.F.M.; Zinober, A.S.I.. "A non-classical class of variational problems". International Journal of
Mathematical Modelling and Numerical Optimisation 1 3 (2010): 227-236. http://www.scopus.com/inward/record.url?eid=2-s2.0-77950861894&partnerID=MN8TOARS.
10.1504/IJMMNO.2010.031750
- Mozyrska, D.; Pawluszewicz, E.; Torres, D.F.M.. "The riemann-stieltjes integral on time scales". Australian Journal of
Mathematical Analysis and Applications 7 1 (2010): 1-14. http://www.scopus.com/inward/record.url?eid=2-s2.0-77953712310&partnerID=MN8TOARS.
- Bohner, M.J.; Ferreira, R.A.C.; Torres, D.F.M.. "Integral inequalities and their applications to the calculus of variations
on time scales". Mathematical Inequalities and Applications 13 3 (2010): 511-522. http://www.scopus.com/inward/record.url?eid=2-s2.0-77953586739&partnerID=MN8TOARS.
- João Pedro Cruz; Delfim Torres; Alan S. I. Zinober. "A non-classical class of variational problems". (2010): http://hdl.handle.net/10773/4454.
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Dynamics of Dengue epidemics using optimal control".
(2010): http://hdl.handle.net/1822/14474.
- João Pedro Cruz; Delfim Torres; Alan S. I. Zinober. "A non-classical class of variational problems". (2010): http://hdl.handle.net/10773/4454.
- Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.. "Dynamics of Dengue epidemics using optimal control".
(2010): http://hdl.handle.net/1822/14474.
- BASTOS, NUNO; Torres, Delfim F. M.. "Combined Delta-Nabla Sum Operator in Discrete Fractional Calculus". Commun. Frac.
Calc 1 (2010): 41-47.
Publicado
- Brito da Cruz, Artur M. C.; Rodrigues, Helena Sofia; Torres, Delfim F. M.. "Escalas Temporais e Mathematica". Boletim da
Sociedade Portuguesa de Matemática 62 (2010): 1-18.
Publicado
- Mozyrska, Dorota; Torres, Delfim F. M.. "A study of diamond-alpha dynamic equations on regular time scales". Afr. Diaspora
J. Math. (N.S.) 8 1 (2009): 35-47. http://arxiv.org/abs/0902.1380.
Publicado
- Mozyrska, Dorota; Torres, Delfim F. M.. "Diamond-alpha polynomial series on time scales". Int. J. Math. Stat. 5 A09
(2009): 92-101. http://arxiv.org/abs/0805.0274.
Publicado
- Ferreira, Rui A. C.; Sidi Ammi, Moulay Rchid; Torres, Delfim F. M.. "Diamond-alpha integral inequalities on time scales".
Int. J. Math. Stat. 5 A09 (2009): 52-59. http://arxiv.org/abs/0805.0242.
Publicado
- Almeida, Ricardo; Torres, Delfim F. M.. "A mu-differentiable Lagrange multiplier rule". Int. J. Math. Stat. 4 S09 (2009):
57-62. http://arxiv.org/abs/0806.3553.
Publicado
- Ferreira, Rui A. C.; Torres, Delfim F. M.. "Some linear and nonlinear integral inequalities on time scales in two independent
variables". Nonlinear Dyn. Syst. Theory 9 2 (2009): 161-169. http://arxiv.org/abs/0805.3765.
Publicado
- Ferreira, Rui A. C.; Torres, Delfim F. M.. "Generalizations of Gronwall-Bihari inequalities on time scales". J. Difference
Equ. Appl. 15 6 (2009): 529-539. http://arxiv.org/abs/0805.2673.
Publicado • 10.1080/10236190802213276
- Ferreira, Rui A. C.; Torres, Delfim F. M.. "Generalized retarded integral inequalities". Appl. Math. Lett. 22 6 (2009):
876-881. http://arxiv.org/abs/0803.2294.
Publicado • 10.1016/j.aml.2008.08.022
- Almeida, Ricardo; Torres, Delfim F. M.. "Isoperimetric problems on time scales with nabla derivatives". J. Vib. Control
15 6 (2009): 951-958. http://arxiv.org/abs/0811.3650.
Publicado • 10.1177/1077546309103268
- Almeida, Ricardo; Torres, Delfim F. M.. "Hölderian variational problems subject to integral constraints". J. Math. Anal.
Appl. 359 2 (2009): 674-681. http://arxiv.org/abs/0807.3076.
Publicado • 10.1016/j.jmaa.2009.06.029
- Almeida, Ricardo; Torres, Delfim F.M.. "Calculus of variations with fractional derivatives and fractional integrals". Applied
Mathematics Letters 22 12 (2009): 1816-1820. http://arxiv.org/abs/0907.1024.
Publicado • 10.1016/j.aml.2009.07.002
- Cresson, Jacky; Frederico, Gastão S. F.; Torres, Delfim F. M.. "Constants of motion for non-differentiable quantum variational
problems". Topol. Methods Nonlinear Anal. 33 2 (2009): 217-231. http://arxiv.org/abs/0805.0720.
Publicado
- Gouveia, Paulo D. F.; Plakhov, A. Yu.; Torres, Delfim F. M.. "Two-dimensional body of maximum mean resistance". Appl. Math.
Comput. 215 1 (2009): 37-52. http://arxiv.org/abs/0904.2781.
Publicado • 10.1016/j.amc.2009.04.030
- Gouveia, Paulo D.F.; Torres, Delfim F.M.. "Computing ODE symmetries as abnormal variational symmetries". Nonlinear Analysis:
Theory, Methods & Applications 71 12 (2009): 138-146. http://arxiv.org/abs/0804.0925.
Publicado • 10.1016/j.na.2008.10.009
- Malinowska, Agnieszka B.; Torres, Delfim F. M.. "On the diamond-alpha Riemann integral and mean value theorems on time scales".
Dyn. Syst. Appl. 18 (2009): 469-482. http://arxiv.org/abs/0804.4420.
Publicado
- Martins, Natália; Torres, Delfim F.M.. "Calculus of variations on time scales with nabla derivatives". Nonlinear Analysis:
Theory, Methods & Applications 71 12 (2009): 763-773. http://arxiv.org/abs/0807.2596.
Publicado • 10.1016/j.na.2008.11.035
- Malinowska, A B; Torres, D F. "Strong minimizers of the calculus of variations on time scales and the Weierstrass condition".
Proceedings of the Estonian Academy of Sciences 58 4 (2009): 205-205. http://arxiv.org/abs/0905.1870.
Publicado • 10.3176/proc.2009.4.02
- Silva, Cristiana J.; Torres, Delfim F. M.; Trélat, Emmanuel. "O controlo óptimo e as suas múltiplas aplicações". Bol. Soc.
Port. Mat. 61 (2009): 11-37. http://arxiv.org/abs/0903.4019.
Publicado
- Mozyrska, Dorota; Pawluszewicz, Ewa; Torres, Delfim F. M.. "The Riemann-Stieltjes integral on time scales". Aust. J. Math.
Anal. Appl. 7 1 (2009): 1-14. http://arxiv.org/abs/0903.1224.
Publicado
- Mozyrska, Dorota; Torres, Delfim F. M.. "The Natural Logarithm on Time Scales". J. Dyn. Syst. Geom. Theor. 7 1 (2009):
41-48. http://arxiv.org/abs/0809.4555.
Publicado
- Almeida, Ricardo; Torres, Delfim F. M.. "Relaxed optimality conditions for mu-differentiable functions". Int. J. Appl.
Math. Stat. 14 M09 (2009): 53-66. http://arxiv.org/abs/0806.3545.
Publicado
- Malinowska, A. B.; Torres, D. F. M.. "Necessary and sufficient conditions for local Pareto optimality on time scales". Journal
of Mathematical Sciences 161 6 (2009): 803-810. http://arxiv.org/abs/0801.2123.
Publicado • 10.1007/s10958-009-9601-1
- Sidi Ammi, M. R.; Torres, D. F. M.. "Combined dynamic Grüss inequalities on time scales". Journal of Mathematical Sciences
161 6 (2009): 792-802. http://arxiv.org/abs/0801.1865.
Publicado • 10.1007/s10958-009-9600-2
- Gouveia, P. D. F.; Plakhov, A. Yu.; Torres, D. F. M.. "On the two-dimensional rotational body of maximal Newtonian resistance".
Journal of Mathematical Sciences 161 6 (2009): 811-819. http://arxiv.org/abs/0909.4871.
Publicado • 10.1007/s10958-009-9602-0
- ALMEIDA, R; TORRES, DFM. "Holderian variational problems subject to integral constraints". JOURNAL OF MATHEMATICAL ANALYSIS
AND APPLICATIONS 359 2 (2009): 674-681.
Publicado
- Malinowska, A.B.; Torres, D.F.M.. "On the diamond-alpha riemann integral and mean value theorems on time scales". Dynamic
Systems and Applications 18 3-4 (2009): 469-482.
Publicado
- MALINOWSKA, AB; TORRES, DFM. "ON THE DIAMOND-ALPHA RIEMANN INTEGRAL AND MEAN VALUE THEOREMS ON TIME SCALES". DYNAMIC SYSTEMS
AND APPLICATIONS 18 3-4 (2009): 469-481.
Publicado
- ALMEIDA, R; TORRES, DFM. "Isoperimetric Problems on Time Scales with Nabla Derivatives". JOURNAL OF VIBRATION AND CONTROL
15 6 (2009): 951-958.
Publicado
- Gouveia, Paulo D.F.; Plakhov, Alexander; Torres, Delfim F.M.. "On the two-dimensional rotational body of maximal Newtonian
resistance". (2009): http://hdl.handle.net/10198/1363.
Acesso aberto
- Gouveia, Paulo D.F.; Plakhov, Alexander; Torres, Delfim F.M.. "Two-dimensional body of maximum mean resistance". (2009): http://hdl.handle.net/10198/1275.
Acesso aberto
- Gouveia, Paulo D.F.; Torres, Delfim F.M.. "Computing ODE symmetries as abnormal variational symmetries". (2009): http://hdl.handle.net/10198/1509.
Acesso aberto
- Cresson, J.; Frederico, G.S.F.; Torres, D.F.M.. "Constants of motion for non-differentiable quantum variational problems".
Topological Methods in Nonlinear Analysis 33 2 (2009): 217-231. http://www.scopus.com/inward/record.url?eid=2-s2.0-67650547434&partnerID=MN8TOARS.
- Almeida, R.; Torres, D.F.M.. "Relaxed optimality conditions for mu-differentiable functions". International Journal of
Applied Mathematics and Statistics 14 M09 (2009): 53-66. http://www.scopus.com/inward/record.url?eid=2-s2.0-70149093133&partnerID=MN8TOARS.
- Malinowska, A.B.; Torres, D.F.M.. "On the diamond-alpha riemann integral and mean value theorems on time scales". Dynamic
Systems and Applications 18 3-4 (2009): 469-482. http://www.scopus.com/inward/record.url?eid=2-s2.0-70349452496&partnerID=MN8TOARS.
- Ferreira, R.A.C.; Torres, D.F.M.. "Some linear and nonlinear integral inequalities on time scales in two independent variables".
Nonlinear Dynamics and Systems Theory 9 2 (2009): 161-169. http://www.scopus.com/inward/record.url?eid=2-s2.0-67651122838&partnerID=MN8TOARS.
- Gouveia, Paulo D.F.; Torres, Delfim F.M.. "Computing ODE symmetries as abnormal variational symmetries". (2009): http://hdl.handle.net/10198/1509.
- Gouveia, Paulo D.F.; Plakhov, Alexander; Torres, Delfim F.M.. "Two-dimensional body of maximum mean resistance". (2009): http://hdl.handle.net/10198/1275.
- Gouveia, Paulo D.F.; Plakhov, Alexander; Torres, Delfim F.M.. "On the two-dimensional rotational body of maximal Newtonian
resistance". (2009): http://hdl.handle.net/10198/1363.
- Gouveia, Paulo D.F.; Torres, Delfim F.M.. "Computing ODE symmetries as abnormal variational symmetries". (2009): http://hdl.handle.net/10198/1509.
- Gouveia, Paulo D.F.; Plakhov, Alexander; Torres, Delfim F.M.. "Two-dimensional body of maximum mean resistance". (2009): http://hdl.handle.net/10198/1275.
- Gouveia, Paulo D.F.; Plakhov, Alexander; Torres, Delfim F.M.. "On the two-dimensional rotational body of maximal Newtonian
resistance". (2009): http://hdl.handle.net/10198/1363.
- Frederico, Gastão S. F.; Torres, Delfim F. M.. "Necessary optimality conditions for fractional action-like problems with intrinsic
and observer times". WSEAS Trans. Math. 7 1 (2008): 6-11. http://arxiv.org/abs/0712.0152.
Publicado
- Louro, Andreia M. F.; Torres, Delfim F. M.. "Computação Simbólica em Maple no Cálculo das Variações". Bol. Soc. Port. Mat.
59 (2008): 13-30. http://arxiv.org/abs/0806.0864.
Publicado
- Malinowska, Agnieszka B.; Torres, Delfim F. M.. "Computational approach to essential and nonessential objective functions
in linear multicriteria optimization". J. Optim. Theory Appl. 139 3 (2008): 577-590. http://arxiv.org/abs/0706.1192.
Publicado • 10.1007/s10957-008-9397-z
- Bartosiewicz, Zbigniew; Torres, Delfim F. M.. "Noether's theorem on time scales". J. Math. Anal. Appl. 342 2 (2008):
1220-1226. http://arxiv.org/abs/0709.0400.
Publicado • 10.1016/j.jmaa.2008.01.018
- Sidi Ammi, Moulay Rchid; Torres, Delfim F. M.. "Regularity of solutions to higher-order integrals of the calculus of variations".
Internat. J. Systems Sci. 39 9 (2008): 889-895. http://arxiv.org/abs/0707.2816.
Publicado • 10.1080/00207720802184733
- Frederico, Gastão S. F.; Torres, Delfim F. M.. "Fractional conservation laws in optimal control theory". Nonlinear Dynam.
53 3 (2008): 215-222. http://arxiv.org/abs/0711.0609.
Publicado • 10.1007/s11071-007-9309-z
- Torres, Delfim F. M.; Leitmann, G.. "Contrasting two transformation-based methods for obtaining absolute extrema". J. Optim.
Theory Appl. 137 1 (2008): 53-59. http://arxiv.org/abs/0704.0473.
Publicado • 10.1007/s10957-007-9292-z
- Sidi Ammi, Moulay Rchid; Torres, Delfim F. M.. "Numerical approximation of the thermistor problem". Int. J. Math. Stat.
2 S08 (2008): 106-114. http://arxiv.org/abs/0711.0597.
Publicado
- Sidi Ammi, Moulay Rchid; Torres, Delfim F. M.. "Regularity of solutions to second-order integral functionals in variational
calculus". Int. J. Appl. Math. Stat. 13 J08 (2008): 1-12. http://arxiv.org/abs/0707.2404.
Publicado
- Frederico, Gastão S. F.; Torres, Delfim F. M.. "Fractional optimal control in the sense of Caputo and the fractional Noether's
theorem". Int. Math. Forum 3 9-12 (2008): 479-493. http://arxiv.org/abs/0712.1844.
Publicado
- Rocha, Eugénio A. M.; Torres, Delfim F. M.. "First integrals for problems of calculus of variations on locally convex spaces".
Appl. Sci. 10 - (2008): 207-218. http://arxiv.org/abs/math/0511347.
Publicado
- Sidi Ammi, Moulay Rchid; Torres, Delfim F. M.. "Numerical analysis of a nonlocal parabolic problem resulting from thermistor
problem". Math. Comput. Simulation 77 2-3 (2008): 291-300. http://arxiv.org/abs/0709.0129.
Publicado • 10.1016/j.matcom.2007.08.013
- Torres, Delfim F. M.; Sidi Ammi, Moulay Rchid; Lazaar, Saiida. "Editorial [Special issue on mathematics and applications to
technology and environment: modelling, difference and differential equations]". Int. J. Math. Stat. 2 S08 (2008): 3-3.
Publicado
- El-Nabulsi, Rami Ahmad; Torres, Delfim F. M.. "Fractional actionlike variational problems". J. Math. Phys. 49 5 (2008):
053521-053527. http://arxiv.org/abs/0804.4500.
Publicado • 10.1063/1.2929662
- Mul, Olena V.; Torres, Delfim F. M.; Kravchenko, Volodymyr P.. "Dynamics of controlled hybrid systems of aerial cable-ways".
Nonlinear Anal., Hybrid Syst. 2 2 (2008): 431-440. http://arxiv.org/abs/math/0607200.
Publicado • 10.1016/j.nahs.2006.05.006
- Sidi Ammi, Moulay Rchid; Ferreira, Rui A. C.; Torres, Delfim F. M.. "Diamond-a Jensen's Inequality on Time Scales". J.
Inequal. Appl. 2008 2008 (2008): 1-13. http://arxiv.org/abs/0712.1680.
Publicado • 10.1155/2008/576876
- Sidi Ammi, M.R.; Torres, D.F.M.. "Regularity of solutions to second-order integral functionals in variational calculus". International
Journal of Applied Mathematics and Statistics 13 JO8 (2008): 1-12. http://www.scopus.com/inward/record.url?eid=2-s2.0-47749137328&partnerID=MN8TOARS.
- Rocha, E.A.M.; Torres, D.F.M.. "First integrals for problems of calculus of variations on locally convex spaces". Applied
Sciences 10 (2008): 207-218. http://www.scopus.com/inward/record.url?eid=2-s2.0-58149232323&partnerID=MN8TOARS.
- Frederico, G.S.F.; Torres, D.F.M.. "Necessary optimality conditions for fractional action-like problems with intrinsic and
observer times". WSEAS Transactions on Mathematics 7 1 (2008): 6-11. http://www.scopus.com/inward/record.url?eid=2-s2.0-47049086566&partnerID=MN8TOARS.
- Malinowska, Agnieszka B.; Torres, Delfim F. M.. "Nonessential functionals in multiobjective optimal control problems". Proc.
Estonian Acad. Sci. Phys. Math. 56 4 (2007): 336-346. http://arxiv.org/abs/math/0609731.
Publicado
- Cruz, Pedro A. F.; Torres, Delfim F. M.. "Evolution strategies in optimization problems". Proc. Estonian Acad. Sci. Phys.
Math. 56 4 (2007): 299-309. http://arxiv.org/abs/0709.1020.
Publicado
- Frederico, Gastão S. F.; Torres, Delfim F. M.. "Conservation laws for invariant functionals containing compositions". Appl.
Anal. 86 9 (2007): 1117-1126. http://arxiv.org/abs/0704.0949.
Publicado • 10.1080/00036810701584583
- Sidi Ammi, Moulay Rchid; Torres, Delfim F. M.. "Existence of infinitely many solutions for a quasilinear elliptic problem
on time scales". Int. J. Pure Appl. Math. 39 2 (2007): 239-248. http://arxiv.org/abs/0705.3674.
Publicado
- Sidi Ammi, Moulay Rchid; Torres, Delfim F. M.. "Necessary optimality conditions for a dead oil isotherm optimal control problem".
J. Optim. Theory Appl. 135 1 (2007): 135-143. http://arxiv.org/abs/math/0612376.
Publicado • 10.1007/s10957-007-9244-7
- El-Nabulsi, Rami Ahmad; Torres, Delfim F. M.. "Necessary optimality conditions for fractional action-like integrals of variational
calculus with Riemann-Liouville derivatives of order (alpha,beta)". Math. Methods Appl. Sci. 30 15 (2007): 1931-1939.
http://arxiv.org/abs/math-ph/0702099.
Publicado • 10.1002/mma.879
- Frederico, Gastão S. F.; Torres, Delfim F. M.. "A formulation of Noether's theorem for fractional problems of the calculus
of variations". J. Math. Anal. Appl. 334 2 (2007): 834-846. http://arxiv.org/abs/math/0701187.
Publicado • 10.1016/j.jmaa.2007.01.013
- Sidi Ammi, Moulay Rchid; Torres, Delfim F. M.. "Existence and regularity of optimal solution for a dead oil isotherm problem".
Appl. Sci. 9 - (2007): 5-12. http://arxiv.org/abs/math/0608378.
Publicado
- Frederico, Gastão S. F.; Torres, Delfim F. M.. "Nonconservative Noether's theorem in optimal control". Int. J. Tomogr.
Stat. 5 W07 (2007): 109-114. http://arxiv.org/abs/math/0512468.
Publicado
- El Hachimi, Abderrahmane; Sidi Ammi, Moulay Rchid; Torres, Delfim F. M.. "Existence and uniqueness of solutions for a nonlocal
parabolic thermistor-type problem". Int. J. Tomogr. Stat. 5 W07 (2007): 150-154. http://arxiv.org/abs/math/0512629.
Publicado
- Ferreira, Rui A. C.; Torres, Delfim F. M.. "Remarks on the calculus of variations on time scales". Int. J. Ecol. Econ.
Stat. 9 F07 (2007): 65-73. http://arxiv.org/abs/0706.3152.
Publicado
- Frederico, Gastão S. F.; Torres, Delfim F. M.. "Non-conservative Noether's theorem for fractional action-like variational
problems with intrinsic and observer times". Int. J. Ecol. Econ. Stat. 9 F07 (2007): 74-82. http://arxiv.org/abs/0711.0645.
Publicado
- Torres, Delfim F. M.; Sidi Ammi, Moulay Rchid; Lazaar, Saiida. "Editorial [Special issue on Mathematics and Applications to
Technology and Environment: Control and Optimization]". Int. J. Ecol. Econ. Stat. 9 F07 (2007): 5-5.
Publicado
- Sidi Ammi, Moulay Rchid; Torres, Delfim F. M.. "Existence of positive solutions for non local p-Laplacian thermistor problems
on time scales". JIPAM. J. Inequal. Pure Appl. Math. 8 3 (2007): 1-10. http://arxiv.org/abs/0709.0415.
Publicado
- El-Nabulsi, R.A.; Torres, D.F.M.. "Necessary optimality conditions for fractional action-like integrals of variational calculus
with Riemann-Liouville derivatives of order (a, ß)". Mathematical Methods in the Applied Sciences 30 15 (2007): 1931-19.
Publicado
- EL-NABULSI, RA; TORRES, DFM. "Necessary optimality conditions for fractional action-like integrals of variational calculus
with Riemann-Liouville derivatives of order (alpha, beta)". MATHEMATICAL METHODS IN THE APPLIED SCIENCES 30 15 (2007):
1931-19.
Publicado
- Ammi, M.R.S.; Torres, D.F.M.. "Existence and regularity of optimal solution for a dead oil isotherm problem". Applied Sciences
9 (2007): 5-12. http://www.scopus.com/inward/record.url?eid=2-s2.0-34848884207&partnerID=MN8TOARS.
- Malinowska, A.B.; Torres, D.F.M.. "Nonessential functionals in multiobjective optimal control problems". Proceedings of
the Estonian Academy of Sciences: Physics, Mathematics 56 4 (2007): 336-346. http://www.scopus.com/inward/record.url?eid=2-s2.0-38049163925&partnerID=MN8TOARS.
- Cruz, P.A.F.; Torres, D.F.M.. "Evolution strategies in optimization problems". Proceedings of the Estonian Academy of Sciences:
Physics, Mathematics 56 4 (2007): 299-309. http://www.scopus.com/inward/record.url?eid=2-s2.0-38049119499&partnerID=MN8TOARS.
- Ammi, M.R.S.; Torres, D.F.M.. "Existence of positive solutions for non local p-Laplacian thermistor problems on time scales".
Journal of Inequalities in Pure and Applied Mathematics 8 3 (2007): http://www.scopus.com/inward/record.url?eid=2-s2.0-35348814442&partnerID=MN8TOARS.
- Silva, Cristiana J.; Torres, Delfim F. M.. "Two-dimensional Newton's problem of minimal resistance". Control Cybernet.
35 4 (2006): 965-975. http://arxiv.org/abs/math/0607197.
Publicado
- Silva, Cristiana J.; Torres, Delfim F. M.. "Absolute extrema of invariant optimal control problems". Commun. Appl. Anal.
10 4 (2006): 503-515. http://arxiv.org/abs/math/0608381.
Publicado
- Torres, Delfim F. M.. "A Noether theorem on unimprovable conservation laws for vector-valued optimization problems in control
theory". Georgian Math. J. 13 1 (2006): 173-182. http://arxiv.org/abs/math/0411173.
Publicado
- Torres, Delfim F. M.; Plakhov, A. Yu.. "Optimal control of Newton-type problems of minimal resistance". Rend. Semin. Mat.
Univ. Politec. Torino 64 1 (2006): 79-95. http://arxiv.org/abs/math/0404237.
Publicado
- Rodrigues, R. C.; Torres, Delfim F. M.. "Generalized splines in R^n and optimal control". Rend. Semin. Mat. Univ. Politec.
Torino 64 1 (2006): 63-78. http://arxiv.org/abs/math/0405200.
Publicado
- Gouveia, Paulo D. F.; Torres, Delfim F. M.; Rocha, Eugénio A. M.. "Symbolic computation of variational symmetries in optimal
control". Control Cybernet. 35 4 (2006): 831-849. http://arxiv.org/abs/math/0604072.
Publicado
- Frederico, Gastão S. F.; Torres, Delfim F. M.. "Constants of motion for fractional action-like variational problems". Int.
J. Appl. Math. 19 1 (2006): 97-104. http://arxiv.org/abs/math/0607472.
Publicado
- Dzenite, Ilona A.; Torres, Delfim F. M.. "A remark on Noether's theorem of optimal control". Int. J. Appl. Math. Stat.
4 J06 (2006): 88-93.
Publicado
- Torres, Delfim F. M.. "A simple proof of the constancy of the Pontryagin Hamiltonian for autonomous problems". Int. J.
Appl. Math. Stat. 4 J06 (2006): 23-24. http://arxiv.org/abs/math/0308172.
Publicado
- Rocha, Eugénio A. M.; Torres, Delfim F. M.. "Quadratures of Pontryagin extremals for optimal control problems". Control
Cybernet. 35 4 (2006): 947-963. http://arxiv.org/abs/math/0511355.
Publicado
- El Hachimi, Abderrahmane; Sidi Ammi, Moulay Rchid; Torres, Delfim F. M.. "A dual mesh method for a non-local thermistor problem".
SIGMA Symmetry Integrability Geom. Methods Appl. 2 Paper 058 (2006): 1-10. http://arxiv.org/abs/math/0606045.
Publicado • 10.3842/SIGMA.2006.058
- Chikadze, G. V.; Mchedlishvili, N.; Sesadze, V.; Torres, Delfim F. M.. "Structural Stability of Nonlinear Dynamic Control
Systems". Scientific Proceedings of Riga Technical University 29 48 (2006): 105-110.
Publicado
- El-Nabulsi, Rami Ahmad; Dzenite, Ilona A.; Torres, Delfim F. M.. "Fractional action functional in classical and quantum field
theory". Scientific Proceedings of Riga Technical University 29 48 (2006): 189-197.
Publicado
- Dzenite, I.A.; Torres, D.F.M.. "A remark on noether's theorem of optimal control". International Journal of Applied Mathematics
and Statistics 4 JO6 (2006): 88-93.
Publicado
- Torres, D.F.M.. "A simple proof of the constancy of the pontryagin hamiltonian for autonomous problems". International
Journal of Applied Mathematics and Statistics 4 JO6 (2006): 23-24.
Publicado
- Rodrigues, R.C.; Torres, D.F.M.. "Generalized splines in ¿?n and optimal control". Rendiconti del Seminario Matematico
64 1 (2006): 63-78.
Publicado
- Gouveia, Paulo D.F.; Torres, Delfim F.M.; Rocha, Eugénio A.M.. "Symbolic computation of variational symmetries in optimal
control". (2006): http://hdl.handle.net/10198/1648.
Acesso aberto
- Torres, D.F.M.. "A noether theorem on unimprovable conservation laws for vector-valued optimization problems in control theory".
Georgian Mathematical Journal 13 1 (2006): 173-182. http://www.scopus.com/inward/record.url?eid=2-s2.0-85015559270&partnerID=MN8TOARS.
10.1515/GMJ.2006.173
- Gouveia, P.D.F.; Torres, D.F.M.; Rocha, E.A.M.. "Symbolic computation of variational symmetries in optimal control". Control
and Cybernetics 35 4 (2006): 831-849. http://www.scopus.com/inward/record.url?eid=2-s2.0-34547217996&partnerID=MN8TOARS.
- Torres, D.F.M.; Plakhov, A.Yu.. "Optimal control of Newton-type problems of minimal resistance". Rendiconti del Seminario
Matematico 64 1 (2006): 79-95. http://www.scopus.com/inward/record.url?eid=2-s2.0-33751542432&partnerID=MN8TOARS.
- Rodrigues, R.C.; Torres, D.F.M.. "Generalized splines in Rnand optimal control". Rendiconti del Seminario Matematico
64 1 (2006): 63-78. http://www.scopus.com/inward/record.url?eid=2-s2.0-33751539669&partnerID=MN8TOARS.
- Silva, C.J.; Torres, D.F.M.. "Two-dimensional Newton's problem of minimal resistance". Control and Cybernetics 35 4
(2006): 965-975. http://www.scopus.com/inward/record.url?eid=2-s2.0-34547179404&partnerID=MN8TOARS.
- Torres, D.F.M.. "A simple proof of the constancy of the pontryagin hamiltonian for autonomous problems". International
Journal of Applied Mathematics and Statistics 4 JO6 (2006): 23-24. http://www.scopus.com/inward/record.url?eid=2-s2.0-84890492129&partnerID=MN8TOARS.
- Silva, C.J.; Torres, D.F.M.. "Absolute extrema of invariant optimal control problems". Communications in Applied Analysis
10 4 (2006): 503-516. http://www.scopus.com/inward/record.url?eid=2-s2.0-33847238725&partnerID=MN8TOARS.
- Rocha, E.A.M.; Torres, D.F.M.. "Quadratures of Pontryagin extremals for optimal control problems". Control and Cybernetics
35 4 (2006): 947-963. http://www.scopus.com/inward/record.url?eid=2-s2.0-34547204570&partnerID=MN8TOARS.
- Dzenite, I.A.; Torres, D.F.M.. "A remark on noether's theorem of optimal control". International Journal of Applied Mathematics
and Statistics 4 JO6 (2006): 88-93. http://www.scopus.com/inward/record.url?eid=2-s2.0-46249129097&partnerID=MN8TOARS.
- Gouveia, Paulo D.F.; Torres, Delfim F.M.; Rocha, Eugénio A.M.. "Symbolic computation of variational symmetries in optimal
control". (2006): http://hdl.handle.net/10198/1648.
- Gouveia, Paulo D.F.; Torres, Delfim F.M.; Rocha, Eugénio A.M.. "Symbolic computation of variational symmetries in optimal
control". (2006): http://hdl.handle.net/10198/1648.
- Torres, Delfim F. M.; Teca, Viorica. "Consecutive, reversed, mirror, and symmetric Smarandache sequence of triangular numbers".
Sci. Magna 1 2 (2005): 39-45. http://arxiv.org/abs/math/0407112.
Publicado
- Gouveia, Paulo D. F.; Torres, Delfim F. M.. "Automatic computation of conservation laws in the calculus of variations and
optimal control". Comput. Methods Appl. Math. 5 4 (2005): 387-409. http://arxiv.org/abs/math/0509140.
Publicado
- Mul, Olena V.; Torres, Delfim F. M.. "Analysis of vibrations in large flexible hybrid systems". Nonlinear Anal. 63
3 (2005): 350-363. http://arxiv.org/abs/math/0504601.
Publicado • 10.1016/j.na.2005.05.024
- Plakhov, A. Yu.; Torres, Delfim F. M.. "Newton's aerodynamic problem in media of chaotically moving particles". Mat. Sb.
196 6 (2005): 111-160. http://arxiv.org/abs/math/0407406.
Publicado • 10.1070/SM2005v196n06ABEH000904
- Gouveia, Paulo D. F.; Torres, Delfim F. M.. "Computação Algébrica no Cálculo das Variações: determinação de simetrias e leis
de conservação". TEMA Tend. Mat. Apl. Comput. 6 1 (2005): 81-90. http://arxiv.org/abs/math/0411211.
Publicado
- Mul, Olena V.; Torres, Delfim F. M.. "A Numerical Method for the Investigation of Vibrations in Large Flexible Systems". International
Scientific Journal of Computing 4 1 (2005): 52-59.
Publicado
- Gouveia, Paulo D.F.; Torres, Delfim F.M.. "Computação algébrica no cálculo das variações: determinação de simetrias e leis
de conservação". (2005): http://hdl.handle.net/10198/1771.
Acesso aberto
- Gouveia, Paulo D.F.; Torres, Delfim F.M.. "Automatic computation of conservation laws in the calculus of variations and optimal
control". (2005): http://hdl.handle.net/10198/1573.
Acesso aberto
- Gouveia, P.D.F.; Torres, D.F.M.. "Automatic Computation of Conservation Laws in the Calculus of Variations and Optimal Control".
Computational Methods in Applied Mathematics 5 4 (2005): 387-409. http://www.scopus.com/inward/record.url?eid=2-s2.0-84967657635&partnerID=MN8TOARS.
10.2478/cmam-2005-0018
- Gouveia, Paulo D.F.; Torres, Delfim F.M.. "Computação algébrica no cálculo das variações: determinação de simetrias e leis
de conservação". (2005): http://hdl.handle.net/10198/1771.
- Gouveia, Paulo D.F.; Torres, Delfim F.M.. "Automatic computation of conservation laws in the calculus of variations and optimal
control". (2005): http://hdl.handle.net/10198/1573.
- Gouveia, Paulo D.F.; Torres, Delfim F.M.. "Computação algébrica no cálculo das variações: determinação de simetrias e leis
de conservação". (2005): http://hdl.handle.net/10198/1771.
- Gouveia, Paulo D.F.; Torres, Delfim F.M.. "Automatic computation of conservation laws in the calculus of variations and optimal
control". (2005): http://hdl.handle.net/10198/1573.
- Torres, Delfim F. M.. "Carathéodory equivalence, Noether theorems, and Tonelli full-regularity in the calculus of variations
and optimal control". J. Math. Sci. (N. Y.) 120 1 (2004): 1032-1050. http://arxiv.org/abs/math/0206230.
Publicado • 10.1023/B:JOTH.0000013565.78376.fb
- Torres, Delfim F. M.. "Proper extensions of Noether's symmetry theorem for nonsmooth extremals of the calculus of variations".
Commun. Pure Appl. Anal. 3 3 (2004): 491-500.
Publicado • 10.3934/cpaa.2004.3.491
- Torres, Delfim F. M.. "On the Noether invariance principle for constrained optimal control problems". WSEAS Trans. Math.
3 3 (2004): 620-624. http://arxiv.org/abs/math/0407409.
Publicado
- Torres, Delfim F. M.. "Quasi-invariant optimal control problems". Port. Math. (N.S.) 61 1 (2004): 97-114. http://arxiv.org/abs/math/0302264.
Publicado
- Torres, Delfim F. M.. "Números Felizes e Sucessões de Smarandache: Digressões com o Maple". Smarandache Notions Journal
14 (2004): 119-123.
Publicado
- Gouveia, Paulo D. F.; Torres, Delfim F. M.. "Smarandache Sequences: Explorations and Discoveries with a Computer Algebra System".
Smarandache Notions Journal 14 (2004): 5-22. http://arxiv.org/abs/math/0312014.
Publicado
- Torres, Delfim F. M.. "Números Felizes e Sucessões Associadas: Digressões com o Maple". Educação e Matemática 77 (2004):
35-38.
Publicado
- Gouveia, Paulo D.F.; Torres, Delfim F.M.. "Smarandache sequences: explorations and discoveries with a computer algebra system".
(2004): http://hdl.handle.net/10198/1666.
Acesso aberto
- Torres, D.F.M.. "Proper extensions of Noether's symmetry theorem for nonsmooth extremals of the calculus of variations". Communications
on Pure and Applied Analysis 3 3 (2004): 491-500. http://www.scopus.com/inward/record.url?eid=2-s2.0-24944485940&partnerID=MN8TOARS.
- Gouveia, Paulo D.F.; Torres, Delfim F.M.. "Smarandache sequences: explorations and discoveries with a computer algebra system".
(2004): http://hdl.handle.net/10198/1666.
- Gouveia, Paulo D.F.; Torres, Delfim F.M.. "Smarandache sequences: explorations and discoveries with a computer algebra system".
(2004): http://hdl.handle.net/10198/1666.
- Torres, Delfim F. M.. "Lipschitzian regularity of the minimizing trajectories for nonlinear optimal control problems". Math.
Control Signals Systems 16 2-3 (2003): 158-174. http://arxiv.org/abs/math/0212103.
Publicado • 10.1007/s00498-003-0132-x
- Torres, Delfim F. M.. "Gauge symmetries and Noether currents in optimal control". Appl. Math. E-Notes 3 - (2003): 49-57.
http://arxiv.org/abs/math/0301116.
Publicado
- Torres, D.F.M.. "Gauge symmetries and Noether currents in optimal control". Applied Mathematics E - Notes 3 (2003):
49-57. http://www.scopus.com/inward/record.url?eid=2-s2.0-3042672872&partnerID=MN8TOARS.
- Torres, Delfim F. M.. "O Computador Matemático de Post". Bol. Soc. Port. Mat. 46 - (2002): 81-94.
Publicado
- Torres, Delfim F. M.. "On the Noether theorem for optimal control". Eur. J. Control 8 1 (2002): 56-63.
Publicado
- Torres, Delfim F. M.. "A Remarkable Property of the Dynamic Optimization Extremals". Investigação Operacional 22 2
(2002): 253-263. http://arxiv.org/abs/math/0212102.
Publicado
- Torres, D.F.M.. "On the Noether theorem for optimal control". European Journal of Control 8 1 (2002): 56-63. http://www.scopus.com/inward/record.url?eid=2-s2.0-0038340532&partnerID=MN8TOARS.
10.3166/ejc.8.56-63
- Torres, Delfim F. M.. "Matemática na Internet com o LaTeX". Gazeta de Matemática 140 (2001): 42-46.
Publicado
- Sarychev, A. V.; Torres, Delfim F. M.. "Lipschitzian regularity of minimizers for optimal control problems with control-affine
dynamics". Appl. Math. Optim. 41 2 (2000): 237-254.
Publicado • 10.1007/s002459911013
- Anjo, A. Batel; Torres, Delfim F. M.. "Considerações sobre o LaTeX2e". Gazeta de Matemática 138 (2000): 59-66.
Publicado
- Sarychev, A.V.; Torres, D.F.M.. "Lipschitzian regularity of minimizers for optimal control problems with control-affine dynamics".
Applied Mathematics and Optimization 41 2 (2000): 237-254. http://www.scopus.com/inward/record.url?eid=2-s2.0-0034149003&partnerID=MN8TOARS.
10.1007/s002459910013
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