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Identification

Personal identification

Full name
Maria Manuela Fernandes Rodrigues
Gender
Female

Citation names

  • Rodrigues, Maria

Author identifiers

Ciência ID
461D-A5E2-23BE
ORCID iD
0000-0002-8834-5841

Email addresses

  • mrodrigues@ua.pt (Professional)

Telephones

Telephone
  • 234247287 Ext.: 23468 (Professional)

Addresses

  • Departamento de Matemática, Universidade de Aveiro, Campus Universitário de Santiago, 3810-193, Aveiro, Aveiro, Portugal (Professional)

Websites

  • http://sweet.ua.pt/mrodrigues/MR_CV_Short.pdf (Personal)

Knowledge fields

  • Exact Sciences - Mathematics
Education
Degree Classification
2011/01/01 - 2012/04/30
Concluded
Métodos operacionais para a resolução de equações diferenciais com derivadas parciais fracionárias (FCT - Post-Doctoral fellowship: SFRH/BPD/73537/2010) (Pós-doutoramento)
Major in Matemática
Universidade do Porto, Portugal
2007/05/01 - 2009/07/27
Concluded
Doutoramento em Matamática (Doutoramento)
Major in Matemática
Universidade de Aveiro, Portugal
2003
Concluded
Mestrado em Investigação Operacional (Mestrado)
Major in Matemática Aplicada
Universidade de Lisboa, Portugal
1996
Concluded
Matemática (Licenciatura)
Major in Ramo Científico - Especialização em Matemática Aplicada
Universidade de Coimbra, Portugal
Affiliation

Teaching in Higher Education

Category
Host institution
Employer
2012/09 - Current Assistant Professor (University Teacher) Universidade de Aveiro, Portugal
Universidade de Aveiro Departamento de Matemática, Portugal
2012 - Current Assistant Professor (University Teacher) Universidade de Aveiro, Portugal
2009/09 - 2012/09 Invited Assistant Professor (University Teacher) Universidade de Aveiro, Portugal
2003/09 - 2009/09 Invited Assistant (University Teacher) Universidade de Aveiro, Portugal
Universidade de Aveiro Departamento de Matemática, Portugal
2001/03 - 2003/07 Invited Assistant (University Teacher) Universidade de Trás-os-Montes e Alto Douro, Portugal
Universidade de Trás-os-Montes e Alto Douro Departamento de Matemática, Portugal
2000 - 2002 Invited Assistant (University Teacher) Escola Universitária das Artes de Coimbra, Portugal
Escola Universitária das Artes de Coimbra, Portugal
Projects

Grant

Designation Funders
2011/04/01 - 2011/12/31 MÉTODOS OPERACIONAIS PARA A RESOLUÇÃO DE EQUAÇÕES DIFERENCIAIS COM DERIVADAS PARCIAIS FRACCIONÁRIAS
SFRH/BPD/73537/2010
Fundação para a Ciência e a Tecnologia
Concluded

Contract

Designation Funders
2016 - 2020 Human Cornea Tomography by Fractional Non-Commutative Harmonic Analysis
IF/00271/2014/CP1222/CT0008
Researcher
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
Fundação para a Ciência e a Tecnologia
2019/01/01 - 2019/12/31 Centro de Investigação e Desenvolvimento em Matemática e Aplicações
UID/MAT/04106/2019
Universidade de Aveiro, Portugal

Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2017/01/01 - 2018/12/31 New Function Theoretic Methods in Computational Electrodynamics
57340281
Researcher
Deutscher Akademischer Austauschdienst
2011/01/01 - 2013/12/31 Projecto Estratégico - UI 4106 - 2011-2012
PEst-C/MAT/UI4106/2011
Universidade de Aveiro, Portugal

Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Book
  1. Castro, L.P.; Fujiwara, H.; Rodrigues, M.M.; Saitoh, S.; Tuan, V.K.; Castro, L. P.; Rodrigues, M. M.; Tuan, V. K.. Reproducing kernels and discretization. Springer International Publishing. 2015.
    10.1007/978-3-319-12577-0-61
  2. Castro, L.P.; Rodrigues, M.M.; Saitoh, S.; Castro, L. P.; Rodrigues, M. M.. Initial value problems in linear integral operator equations. Springer International Publishing. 2014.
    10.1007/978-3-319-06554-0__7
Book chapter
  1. Rodrigues, M. M.; Vieira, N.. "Some Properties of the Fractional Circle Zernike Polynomials". In Integral Methods in Science and Engineering, Volume 1, 265-276. Springer International Publishing, 2017.
    10.1007/978-3-319-59384-5_24
  2. Rodrigues, M. M.; Saitoh, S.; Rodrigues, M.M.. "Whittaker Differential Equation Associated to the Initial Heat Problem". In Current Trends in Analysis and Its Applications, 523-530. Springer International Publishing, 2015.
    10.1007/978-3-319-12577-0_58
  3. Castro, L.P.; Fujiwara, H.; Rodrigues, M.M.; Saitoh, S.; Tuan, V.K.. "Aveiro discretization method in mathematics: A new discretization principle". 2014.
    10.1007/978-1-4939-1106-6_3
  4. Rodrigues, M. M.; Vieira, N.; Yakubovich, S.. "Operational Calculus for Bessel's Fractional Equation". In Advances in Harmonic Analysis and Operator Theory, 357-370. Springer Basel, 2013.
    10.1007/978-3-0348-0516-2_20
  5. Castro, L.P.; Fujiwara, H.; Rodrigues, Maria; Saitoh, S.. "A new discretization method by means of reproducing kernels". In Interactions between Real and Complex Analysis. 2012.
Conference paper
  1. Ferreira, M.; Kraußhar, R. S.; Rodrigues, M. M.; Vieira, N.. "Application of the hypercomplex fractional integro-differential operators to the fractional Stokes equation". 2019.
    10.1063/1.5114148
  2. Ferreira, M.; Rodrigues, M. M.; Vieira, N.. "First and second fundamental solutions of the time-fractional telegraph equation of order 2a". 2018.
    10.1063/1.5081599
  3. Rodrigues, M.M.; Huy, V.N.; Tuan, N.M.. "Some operational properties of the Laguerre transform". 2017.
    10.1063/1.4972722
  4. Castro, L. P.; Rodrigues, M. M.; Saitoh, S.. "A Bessel differential heat initial value problem in a reproducing kernel Hilbert space framework". 2014.
    10.1063/1.4904575
  5. Rodrigues, M. Manuela. "Generalized fractional integral transform with Whittaker's kernel". 2013.
    10.1063/1.4827228
  6. Rodrigues, M.M.; Vieira, N.. "Multidimensional fractional Schrödinger equation". 2012.
    10.1063/1.4765579
  7. Neto, B.; Rodrigues, M.M.; Rocha, E.A.; André, P.S.. "Stability analysis of Raman propagation equations". 2009.
    10.1109/ICTON.2009.5185289
  8. Rocha, E.M.; Rodrigues, M.M.. "Exact and approximate solutions of reaction-diffusion-convection equations". 2009.
    10.1063/1.3142946
  9. Breda, A.M.; Rocha, E.M.; Rodrigues, M.M.. "Interactive, collaborative and adaptative learning tools the TexMat example". 2008.
  10. Rocha, E.M.; Rodrigues, M.M.. "The speed of reaction-diffusion-convection wavefronts in nonuniform media". 2007.
    10.1063/1.2790236
Journal article
  1. Nelson Vieira; M. Manuela Rodrigues; Milton Ferreira. "Time-fractional diffusion equation with $$\psi $$-Hilfer derivative". Computational and Applied Mathematics 41 6 (2022): https://doi.org/10.1007/s40314-022-01911-5.
    10.1007/s40314-022-01911-5
  2. Vieira, N.; Rodrigues, M.M.; Ferreira, M.. "Time-fractional telegraph equation of distributed order in higher dimensions". Communications in Nonlinear Science and Numerical Simulation 102 (2021): 105925. http://dx.doi.org/10.1016/j.cnsns.2021.105925.
    10.1016/j.cnsns.2021.105925
  3. M. Ferreira; M. M. Rodrigues; N. Vieira. "Application of the Fractional Sturm-Liouville Theory to a Fractional Sturm-Liouville Telegraph Equation". Complex Analysis and Operator Theory 15 5 (2021): https://doi.org/10.1007/s11785-021-01125-3.
    10.1007/s11785-021-01125-3
  4. Ferreira, Milton; Manuela Rodrigues, M.; Vieira, Nelson. "A fractional analysis in higher dimensions for the Sturm-Liouville problem". Fractional Calculus and Applied Analysis 24 2 (2021): 585-620. http://dx.doi.org/10.1515/fca-2021-0026.
    10.1515/fca-2021-0026
  5. Milton Ferreira; Yury Luchko; M. Manuela Rodrigues; Nelson Vieira. "Eigenfunctions of the time-fractional diffusion-wave operator". Mathematical Methods in the Applied Sciences 44 2 (2021): 1713-1743. https://doi.org/10.1002/mma.6874.
    10.1002/mma.6874
  6. Milton Ferreira; R. Sören Kraußhar; M. Manuela Rodrigues; Nelson Vieira. "A higher dimensional fractional Borel-Pompeiu formula and a related hypercomplex fractional operator calculus". Mathematical Methods in the Applied Sciences 42 10 (2019): 3633-3653. https://doi.org/10.1002/mma.5602.
    10.1002/mma.5602
  7. Rodrigues, M.M.; Rosa, A.; Vieira, N.; Murta, J. N.. "Modeling ophthalmic surfaces using Zernike, Bessel and Chebyshev type functions". Journal of Physics: Conference Series 1194 (2019): 012093. http://dx.doi.org/10.1088/1742-6596/1194/1/012093.
    10.1088/1742-6596/1194/1/012093
  8. Rodrigues, M.M.; Vieira, N.. "The orthogonality of the fractional circle polynomials and its application in modeling of ophthalmic surfaces". Journal of Physics: Conference Series 1194 (2019): 012094. http://dx.doi.org/10.1088/1742-6596/1194/1/012094.
    10.1088/1742-6596/1194/1/012094
  9. Ferreira, M.; Rodrigues, M. M.; Vieira, N.. "A Time-Fractional Borel-Pompeiu Formula and a Related Hypercomplex Operator Calculus". Complex Analysis and Operator Theory 13 6 (2019): 2495-2526. http://dx.doi.org/10.1007/s11785-018-00887-7.
    10.1007/s11785-018-00887-7
  10. Ferreira, M.; Rodrigues, M. M.; Vieira, N.. "First and Second Fundamental Solutions of the Time-Fractional Telegraph Equation with Laplace or Dirac Operators". Advances in Applied Clifford Algebras 28 2 (2018): http://dx.doi.org/10.1007/s00006-018-0858-7.
    10.1007/s00006-018-0858-7
  11. Ford, N. J.; Moayyed, H.; Rodrigues, M. M.. "Orthogonality for a class of generalised Jacobi polynomial P^a,ß_¿(x)". Fractional Differential Calculus 1 (2018): 95-110. http://dx.doi.org/10.7153/fdc-2018-08-06.
    10.7153/fdc-2018-08-06
  12. Huy, V. N.; Rodrigues, M. M.; Tuan, N. M.. "Norm Estimates and Uncertainty Principles Associated with the Laguerre Integral Transform". Complex Analysis and Operator Theory 12 3 (2017): 683-704. http://dx.doi.org/10.1007/s11785-017-0736-7.
    10.1007/s11785-017-0736-7
  13. Ferreira, Milton; Rodrigues, M. Manuela; Vieira, Nelson. "Fundamental solution of the multi-dimensional time fractional telegraph equation". Fractional Calculus and Applied Analysis 20 4 (2017): 868-894. http://dx.doi.org/10.1515/fca-2017-0046.
    10.1515/fca-2017-0046
  14. Ferreira, M.; Rodrigues, M. M.; Vieira, N.. "Fundamental solution of the time-fractional telegraph Dirac operator". Mathematical Methods in the Applied Sciences 40 18 (2017): 7033-7050. http://dx.doi.org/10.1002/mma.4511.
    10.1002/mma.4511
  15. Rodrigues, Maria. "Some New Properties and applications of a Fractional Fourier Transform". Journal of Inequalities and Special Functions 8 1 (2017): 13-27. http://ilirias.com/jiasf/repository/docs/JIASF8-1-2.pdf.
  16. Kraußhar, R.S.; Rodrigues, M.M.; Vieira, N.. "Maximum Principle for the Regularized Schrödinger Operator". Results in Mathematics 69 1-2 (2016): 49-68. http://www.scopus.com/inward/record.url?eid=2-s2.0-84955698774&partnerID=MN8TOARS.
    10.1007/s00025-015-0474-y
  17. Rodrigues, M.M.; Vieira, N.. "Whittaker transform on distributions". Indian Journal of Pure and Applied Mathematics 46 2 (2015): 229-237. http://www.scopus.com/inward/record.url?eid=2-s2.0-84935036861&partnerID=MN8TOARS.
    10.1007/s13226-015-0127-6
  18. Kraußhar, R.S.; Rodrigues, M.M.; Vieira, N.. "Time-dependent operators on some non-orientable projective orbifolds". Mathematical Methods in the Applied Sciences 38 18 (2015): 5305-5319. http://www.scopus.com/inward/record.url?eid=2-s2.0-84955198222&partnerID=MN8TOARS.
    10.1002/mma.3492
  19. Castro, L. P.; Rodrigues, M. M.; Saitoh, S.. "A Fundamental Theorem on Initial Value Problems by Using the Theory of Reproducing Kernels". Complex Analysis and Operator Theory 9 1 (2014): 87-98. http://dx.doi.org/10.1007/s11785-014-0375-1.
    10.1007/s11785-014-0375-1
  20. Cerejeiras, P.; Kähler, U.; Rodrigues, M.M.; Vieira, N.. "Hodge type decomposition in variable exponent spaces for the time-dependent operators: The Schrödinger case". Communications on Pure and Applied Analysis 13 6 (2014): 2253-2272. http://www.scopus.com/inward/record.url?eid=2-s2.0-84904552218&partnerID=MN8TOARS.
    10.3934/cpaa.2014.13.2253
  21. Kraußhar, R.S.; Rodrigues, M.M.; Vieira, N.. "Hodge decomposition and solution formulas for some first-order time-dependent parabolic operators with non-constant coefficients". Annali di Matematica Pura ed Applicata 193 6 (2014): 1807-1821. http://www.scopus.com/inward/record.url?eid=2-s2.0-84911960132&partnerID=MN8TOARS.
    10.1007/s10231-013-0357-3
  22. Kraußhar, R.S.; Rodrigues, M.M.; Vieira, N.. "Hodge-type Decomposition for Time-dependent First-order Parabolic Operators with Non-constant Coefficients: The Variable Exponent Case". Milan Journal of Mathematics 82 2 (2014): 407-422. http://www.scopus.com/inward/record.url?eid=2-s2.0-84911419304&partnerID=MN8TOARS.
    10.1007/s00032-014-0228-4
  23. Kraußhar, R.S.; Rodrigues, M.M.; Vieira, N.. "The Schrödinger Semigroup on Some Flat and Non Flat Manifolds". Complex Analysis and Operator Theory 8 2 (2014): 461-484. http://www.scopus.com/inward/record.url?eid=2-s2.0-84955671845&partnerID=MN8TOARS.
    10.1007/s11785-013-0297-3
  24. Rodrigues, M.M.; Yakubovich, S.. "On a heat kernel for the index Whittaker transform". Carpathian Journal of Mathematics 29 2 (2013): 231-238. http://www.scopus.com/inward/record.url?eid=2-s2.0-84880120284&partnerID=MN8TOARS.
  25. Ford, N.J.; Rodrigues, M.M.; Xiao, J.; Yan, Y.. "Numerical analysis of a two-parameter fractional telegraph equation". Journal of Computational and Applied Mathematics 249 (2013): 95-106. http://www.scopus.com/inward/record.url?eid=2-s2.0-84875428935&partnerID=MN8TOARS.
    10.1016/j.cam.2013.02.009
  26. Rodrigues, M.M.; Vieira, N.; Yakubovich, S.. "A Convolution Operator Related to the Generalized Mehler-Fock and Kontorovich-Lebedev Transforms". Results in Mathematics 63 1-2 (2013): 511-528. http://www.scopus.com/inward/record.url?eid=2-s2.0-84872671045&partnerID=MN8TOARS.
    10.1007/s00025-011-0214-x
  27. Ford, N. J.; Rodrigues, Maria; Vieira, Nelson. Corresponding author: Ford, N. J.. "A numerical method for the fractional Schrödinger type equation of spatial dimension two". Fractional Calculus and Applied Analysis 16 2 (2013): 454-468.
    Published • https://doi.org/10.2478/s13540-013-0028-5
  28. Luis Pinheiro de Castro; Rodrigues, Maria. "The Weierstrass-Whittaker integral transform". Memoirs on Differential Equations and Mathematical Physics 60 (2013): 57-72.
  29. Rodrigues, M.M.; Vieira, N.. "On fractional whittaker equation and operational,calculus". Journal of Mathematical Sciences (Japan) 20 1 (2013): 127-146. http://www.scopus.com/inward/record.url?eid=2-s2.0-84884573627&partnerID=MN8TOARS.
  30. Yakubovich, S.; Rodrigues, M.M.. "Fundamental solutions of the fractional two-parameter telegraph equation". Integral Transforms and Special Functions 23 7 (2012): 509-519. http://www.scopus.com/inward/record.url?eid=2-s2.0-84863954371&partnerID=MN8TOARS.
    10.1080/10652469.2011.608488
  31. Rodrigues, M.M.. "Multiplicity of Solutions on a Nonlinear Eigenvalue Problem for p(x)-Laplacian-like Operators". Mediterranean Journal of Mathematics 9 1 (2012): 211-223. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856407434&partnerID=MN8TOARS.
    10.1007/s00009-011-0115-y
  32. Rodrigues, M.M.. "Lyapunov inequalities for nonlinear p-Laplacian problems with weight functions". International Journal of Mathematical Analysis 5 29-32 (2011): 1497-1506. http://www.scopus.com/inward/record.url?eid=2-s2.0-81355135050&partnerID=MN8TOARS.
  33. Rodrigues, M.M.. "Study of solutions of a nonlinear fractional partial differential equation". Proceedings of the World Congress on Engineering 2011, WCE 2011 1 (2011): 186-190. http://www.scopus.com/inward/record.url?eid=2-s2.0-80755180981&partnerID=MN8TOARS.
  34. Rodrigues, M.M.. "Analysis of Adomian series solution to a class of nonlinear ordinary systems of Raman type". Applied Mathematics E - Notes 11 (2011): 50-60. http://www.scopus.com/inward/record.url?eid=2-s2.0-79956347599&partnerID=MN8TOARS.
  35. Rodrigues, M.M.; Rocha, E.M.. "The convergence analysis of the decomposition method for the (1+1)-parabolic problem in nonuniform media". Acta Applicandae Mathematicae 112 3 (2010): 299-308. http://www.scopus.com/inward/record.url?eid=2-s2.0-78651410292&partnerID=MN8TOARS.
    10.1007/s10440-010-9573-7
  36. Rocha, E.M.; Rodrigues, M.M.. "On approximate solutions to the wavefront speed of reaction-diffusion- convection problem in nonuniform media". Asymptotic Analysis 66 1 (2010): 51-59. http://www.scopus.com/inward/record.url?eid=2-s2.0-72649086698&partnerID=MN8TOARS.
    10.3233/ASY-2009-0958
  37. Rodrigues, M.. "Singular perturbation analysis for convection-diffusion-reaction equation on nonuniform media". International Journal of Computer Mathematics 85 3-4 (2008): 613-622. http://www.scopus.com/inward/record.url?eid=2-s2.0-41449103443&partnerID=MN8TOARS.
    10.1080/00207160701294434
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2023/08/24 Fractional diffusion equation with ¿-Hilfer derivative 10th International Congress on Industrial and Applied Mathematics - ICIAM
Waseda University (Tokyo, Japan)
2023/08/01 Fractional problems with ¿-Hilfer derivative 34th International Workshop on Operator Theory and its Applications - IWOTA
University of Helsinki ( Helsinki, Finland)
2022/09/20 Distributed-order relaxation-oscillation equation International Conference of Numerical Analysis and Applied Mathematics - ICNAAM
(Creta, Greece)
2022/08/15 Time-fractional telegraph equation of distributed order Encontro Conjunto Brasil-Portugal em Matemática
Federal University of Bahia (Salvador - Bahia, Brazil)
2022/06/27 Some representations for the eigenfunctions of the time-fractional wave operator International Conference on Mathematical Analysis and Applications in Science and Engineering
Polytechnic of Porto (Porto, Portugal)
2021 The generalized fractional Sturm-Liouville problem CVIM'2021 2021 - The Cape Verde International Days on Mathematics
(Praia)
2021 Eigenfunctions for the time-fractional diffusion-wave operator ICNAAM 2021 - The International Conference of Numerical Analysis and Applied Mathematics
(Rhodes, Greece)
2021 Eigenfunctions of the time-fractional telegraph operator of distributed order 12th Annual Workshop of Functional Analysis and Applications Group
(Aveiro, Portugal)
2020 Modeling ophthalmic surfaces using Zernike, Bessel and Chebyshev type functions 8th CIDMA annual meeting
(Aveiro, Portugal)
2020 Eigenfunctions of the time-fractional diffusion-wave operator 8th CIDMA annual meeting
(Aveiro, Portugal)
2020 Time-fractional diffusion-wave operator 11th Annual Workshop of Functional Analysis and Applications Group
(Aveiro, Portugal)
2019 Fundamental solutions of a time-fractional equation VI- WCDANM
(Covilhã, Portugal)
2019 Fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators EQUADIFF 2019
(Leiden, Netherlands)
2019 Time-fractional telegraph equation and its first and second fundamental solutions IWOTA 2019 - 30th International Workshop on Operator Theory and its Applications
(Lisboa, Portugal)
2019 Time-fractional telegraph equation ISAAC 2019 - 12th International ISAAC congress
(Aveiro, Portugal)
2019 Fundamental solutions of a fractional equation The V AMMCS International Conference
(Waterloo, Canada)
2019 Fractional Sturm-Liouville problem in higher dimensions 10th Annual Workshop of Functional Analysis and Applications Group
(Aveiro, Portugal)
2018 Norm estimates and uncertainty principles associated with the Laguerre integral transform ICNPAA - 12th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences
American University of Armenia (AUA) (Yerevan, Armenia)
2018 The multi-dimensional time telegraph equation and the telegraph process with Brownian time The 32nd International Colloquium on Group Theoretical Methods in Physics
(Praga, Czech Republic)
2018 Fundamental solution for a multidimensional time-fractional equation and its applications NABVP - International Conference in Nonlinear Analysis and Boundary Value Problems
(Santiago de Compostela, Spain)
2018 First and second fundamental solutions of the time-fractional telegraph equation with Laplace operator 9th Annual Workshop of Functional Analysis and Applications Group
(Aveiro, Portugal)
2017 Fundamental solution of the time-fractional telegraph equation in higher dimensions ICSF 2017: International Conference on Special Functions: Theory, Computation, and Applications
(Hong Kongo, China)
2017 Some results concerning the fundamental solution for the time-fractional telegraph equation in higher dimensions CMFT 2017: International Conference on Computational Methods and Function Theory
(Lublin, Poland)
2017 Performance of the modified Jacobi polynomials in visual optic 5th CIDMA annual meeting,
(Aveiro, Portugal)
2017 Some properties of a generalised class of Jacobi polynomials 8th Annual Workshop of Functional Analysis and Applications Group
(Aveiro, Portugal)
2016 Some new properties and applications of a fractional Fourier transform ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences
(La Rochelle, France)
2016 New operational relations and applications of a fractional Fourier transform IMSE 2016: 14th International Conference on integral methods for science and engineering
(Pádua, Italy)
2016 An operational method for solving a class of fractional differential equations 7th Annual Workshop of Functional Analysis and Applications Group
(Aveiro, Portugal)
2016 Fractional extension of Zernike circular polynomials and their application Seminário (Departamento de Matemática, ESTG-IPL)
(Leiria, Portugal)
2015 Operational properties for the Laguerre transform IKM 2015 - 20 th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering
(Weimer, Germany)
2015 Some properties of the Laguerre transform 6th Annual Workshop of Functional Analysis and Applications Group
(Aveiro, Portugal)
2014 Fractional Zernike polynomials of two fractional parameters Seminário
Universidade de Erfurt (Erfurt, Germany)
2014 Bessel Differential Heat Initial Value Problem in a Reproduction Kernel Hilbert Space Framework 5th annual Workshop of Functional Analysis and Applications Group - devoted to the seventieth birthday of Professor Saburou Saitoh
(Aveiro, Portugal)
2014 Properties of the fractional circle Zernike polynomials SMSW'14 Statistics and Mathematical Sciences Workshop - in Honour of Professor João Tiago Mexia
(Covilhã, Portugal)
2014 Fractional extension of the classical circle Zernike polynomials ICNPAA 2014 World Congress: 10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences
(Narvik, Norway)
2014 Fractional circle Zernike polynomials 2nd CIDMA annual meeting
(Aveiro, Portugal)
2013 Weierstrass transform associated with Whittaker integral transform Fifth Conference of the Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences
( Albena, Bulgaria)
2013 Study of some properties related to the Whittaker integral transform 9TH ISAAC congress
(Cracóvia, Poland)
2013 Whittaker transform on distributions 4th Annual Workshop of Functional Analysis and Applications Group
(Aveiro, Portugal)
2013 Integral transforms with Whittaker kernels Seminários do Grupo de Análise Funcional e Aplicações do CIDMA
(Aveiro, Portugal)
2012 Wave solution of two-parameter fractional Schrödinger equation 11th International Symposium on Orthogonal Polynomials, Special Functions and Applications- OPSFA
(Madrid, Spain)
2012 Heat kernel for the index Whittaker transform 6th Workshop on Statistics, Mathematics and Computation and 3rd Portuguese - Polish Workshop on Biometry in Honour of Professor Dinis Pestana
(Covilhã, Portugal)
2012 Heat kernel in terms of Whittaker's functions 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences
(Viena, Austria)
2012 Approximate solutions of partial differential equation by reproducing kernels Equations Day
(Braga, Portugal)
2012 Heat kernel related to the index Whittaker transform 3th Annual Workshop of Functional Analysis and Applications Group
(Aveiro, Portugal)
2012 Numerical method of two-parameter fractional telegraph equation Seminários do Grupo de Análise Funcional e Aplicações do CIDMA
(Aveiro, Portugal)
2011 Fractional two-parameter Schrödinger equation Integral and Differential Operators and Their Applications- IDOTA
(Aveiro)
2011 Study of Solutions of a Nonlinear Fractional Partial Differential Equation International Conference of Applied and Engineering Mathematics- ICAEM
(Londres, United Kingdom)
2011 Operational calculus for Bessel's fractional equation Second Annual Workshop of Functional Analysis and Applications Group
(Aveiro, Portugal)
2010 Fundamental solutions of the fractional two-parameter telegraph equation, International Conference on Modeling, Optimization and Dynamics- ICMOD
(Porto, Portugal)
2010 Lyapunov-type inequalities for boundary value problems with weight functions First Annual Workshop of functional Analysis and Applications Group
(Aveiro, Portugal)
2010 Fundamental solutions of the fractional two-parameter telegraph equation Seminários do Grupo de Análise Funcional e Aplicações do CIDMA
(Aveiro, Portugal)
2009 The convergence analysis of the decomposition method for a reaction-diffusion equation with convection and for a class of nonlinear ordinary system of Raman type Seminário no âmbito do grupo de Análise
Departamento de Análise Matemática da Faculdade de Ciências, Universidade de Granada (Granada, Spain)
2008 Interactive, Collaborative and Adaptative Learning Tools - The TexMat Example Fourth International Conference on Web Information Systems and Tecnologies - WEBIST
(Funchal, Madeira, Portugal)
2008 Exact and approximate solutions of reaction-diffusion-convection equations Conference on Boundary Value Problems - BVP
(Madrid, Spain)
2007 On Propagation of convection-diffusion-reaction fronts in nonuniform media Conference on Computational and Mathematical Methods on Science and Engineering - CMMSE 2006
(Madrid, Spain)
2007 The Speed of Reaction-Diffusion-Convection wavefronts in Nonuniform Media International Conference of Numerical Analysis and Applied Mathematics - ICNAAM
(Corfu, Greece)
2007 Reaction-diffusion-convection equations in nonuniform media: wavefront speed and exact solutions Seminários do Grupo de Análise Funcional e Aplicações do CIDMA
(Aveiro)

Supervision

Thesis Title
Role
Degree Subject (Type)
Institution / Organization
2021/05/01 - 2021/05/31 Transformadas de Fourier aplicadas / aplicações no contexto problemas na área da saúde - Bolsa de bolsa de Iniciação à Investigação, na área de Matemática.
Co-supervisor
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2020/05/01 - 2020/10 Estudo das funções especiais / aplicações no contexto problemas na área da saúde - Bolsa de bolsa de Iniciação à Investigação, na área de Matemática.
Co-supervisor
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2019/04/01 - 2019/08/31 Transformada fracionária de Fourier / aplicações no contexto problemas na área da saúde - Bolsa de bolsa de Investigação, na área de Matemática.
Supervisor
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2018 - 2019 Desenhos experimentais ótimos para análise estatística usando polinómios de Zernike (Dissertação de Mestrado)
Supervisor
Mestrado em Matemática e Aplicações (Master)
Universidade de Aveiro, Portugal
2018/08/01 - 2018/12/31 Estudo de algumas classes de funções especiais - Bolsa de bolsa de Investigação, na área de Matemática.
Co-supervisor
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2017/05/01 - 2017/07/31 Funções especiais em modelagem óptica - Bolsa de bolsa de Investigação (Doutor), na área de Matemática
Co-supervisor
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2016/05/01 - 2016/08/31 O desempenho de algumas funções especiais em problemas relacionados com distúrbios oftalmológicos - Bolsa de bolsa de Investigação (Doutor), na área de Matemática
Supervisor
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2015 - 2016 O ensino do cálculo diferencial e integral com recurso ao estudo de fenómenos de difusão
Supervisor
Mestrado em Matemática para Professores (Master)
2015 - 2016 Aplicação da equação de Bessel fracionária na descrição da topografia da córnea
Supervisor
Mestrado em Matemática e Aplicações (Master)
2015/08/01 - 2015/12/31 Algoritmos para a reconstrução da córnea baseados em polinómios de Zernike- Bolsa de bolsa de Investigação (Mestre), na área de Matemática
Supervisor
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal

Event organisation

Event name
Type of event (Role)
Institution / Organization
2023/07/31 - 2023/08/04 Special Session New Trends in Fractional Calculus Operators and Their Applications, IWOTA 2023, University of Helsinki, Finland. (2023/07/31 - 2023/08/04)
Symposium (Co-organisor)
2022/09/19 - 2022/09/25 Special Session Fractional Differential Calculus and Clifford Analysis, ICNAAM 2022, 19-25/09/2022, Greece. (2022/09/19 - 2022/09/25)
Symposium (Co-organisor)
2022/06/27 - 2022/07/01 Special Session Fractional Differential Theory and Applications, International Conference on Mathematical Analysis and Applications in Science and Engineering (2022/06/27)
Symposium
Instituto Politécnico do Porto, Portugal
2021 - 2021 Organização da Sessão: Fractional Partial Differential Equations and Applications. National Meeting of the SPM 2021 - Encontro Nacional da SPM (2021 - 2021)
2021 - 2021 Organização da Sessão: Fractional Differential Equations and Applications em ICNAAM- The International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Grécia (2021 - 2021)
2017/01/01 - 2020/12/31 Organização de Seminários no âmbito do Grupo de Análise Funcional e Aplicações do CIDMA, Universidade de Aveiro (2017 - 2020)
Seminar
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2019 - 2019 Organização da Sessão: Integral and Differential Equations & Applications. VI Workshop on Computational Data Analysis and Numerical Methods (WCDANM), University of Beira Interior, Covilhã, Portugal (2019 - 2019)
2017/04/10 - 2017/04/10 8th - Annual Workshop of Functional Analysis and Applications Group (2017/04/10 - 2017/04/10)
Meeting (Member of the Organising Committee)
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2016/07/18 - 2016/07/18 7th - Annual Workshop of Functional Analysis and Applications Group (2016/07/18 - 2016/07/18)
Meeting (Member of the Organising Committee)
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2016/06/27 - 2016/06/29 RDTE - Recent trends in differential equations (2016/06/27 - 2016/06/29)
Conference (Member of the Organising Committee)
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2015/05/16 - 2015/05/16 Annual Workshop of Functional Analysis and Applications Group (2015/05/16 - 2015/05/16)
Meeting (Member of the Organising Committee)
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2014/07/21 - 2014/07/25 MEME - Mathematics and Engineering in Marine and Earth Problems (2014/07/21 - 2014/07/25)
Conference (Member of the Organising Committee)
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2014/06/23 - 2014/06/24 WIMCS-CIDMA Wiener-Hope Workshop (2014/06/23 - 2014/06/24)
Conference (Member of the Organising Committee)
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2011/06/30 - 2011/07/02 IDOTA - Integral and Differential Operators and Their Applications (2011/06/30 - 2011/07/02)
Conference (Member of the Organising Committee)
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal

Jury of academic degree

Topic
Role
Candidate name (Type of degree)
Institution / Organization
2019 Problèmes inverses pour des équations différentielles aux dérivées fractionnaires
(Thesis) Main arguer
Ramiz Tapdigoglu (PhD)
La Rochelle Université, France

Association member

Society Organization name Role
2013 - 2017 Membro do ISAAC - International Society for Analysis, its Applications and Computation

Course / Discipline taught

Academic session Degree Subject (Type) Institution / Organization
2015 - Current Métodos Numéricos e Estatísticos (Licenciatura) Universidade de Aveiro, Portugal
2015 - Current Equações diferenciais (Licenciatura) Universidade de Aveiro, Portugal
2011 - Current Métodos Numéricos (Licenciatura) Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2006 - Current Cálculo III (Licenciatura) Universidade de Aveiro, Portugal
2003 - Current Cálculo I Universidade de Aveiro, Portugal
2003 - Current Cálculo II Universidade de Aveiro, Portugal
2021 - 2023 Coordenadora científicada do curso de Latex para fichas e testes para Professores do Ensino Secundário Universidade de Aveiro, Portugal
2021 - 2021 Formadora do curso de Latex para fichas e testes para Professores do Ensino Secundário Universidade de Aveiro, Portugal
2013 - 2014 Tópicos Avançados de Matemática II (Doutoramento) Universidade de Aveiro, Portugal
2011 - 2012 Bioestatística (Licenciatura) Universidade de Aveiro, Portugal
2004 - 2005 Métodos Estatísticos (Licenciatura) Universidade de Aveiro, Portugal
2002 - 2003 Probabilidade e Estatística (Licenciatura) Universidade de Trás-os-Montes e Alto Douro, Portugal
2002 - 2003 Matemática I (Licenciatura) Universidade de Trás-os-Montes e Alto Douro, Portugal
2001 - 2003 Investigação Operacional (Licenciatura) Universidade de Trás-os-Montes e Alto Douro Centro de Estudos em Letras, Portugal
2001 - 2003 Métodos Estatísticos (Licenciatura) Universidade de Trás-os-Montes e Alto Douro, Portugal
2001 - 2002 Análise Matemática I (Licenciatura) Universidade de Trás-os-Montes e Alto Douro, Portugal
2000 - 2002 Desenho Assistido por Computador I (Licenciatura) Escola Universitária das Artes de Coimbra, Portugal
2000 - 2002 Desenho Assistido por Computador II (Licenciatura) Escola Universitária das Artes de Coimbra, Portugal

Journal scientific committee

Journal title (ISSN) Publisher
2018 - Current Mathematics
2018 - Current Fractal and Fractional
2017 - Current Entropy
2017 - Current Algorithms
2017 - Current Axioms
2016 - Current Mathematical Modelling and Analysis
2016 - Current Applied Sciences
2016 - Current Arab Journal of Mathematical Sciences
2015 - Current International Journal of Computer Mathematics
2015 - Current Bulletin of the Korean Mathematical Society
2014 - Current Applied Mathematics and Computation
2014 - Current Abstract and Applied Analysis.
2014 - Current Applications and Applied Mathematics: An International Journal
2014 - Current American Mathematical Society
2012 - Current Bulletin of the Malaysian Mathematical Sciences Society
2012 - Current Advances in Linear Algebra & Matrix Theory

Other jury / evaluation

Activity description Institution / Organization
2022 - 2022 Júri de Atribuição de Equivalência de Grau Universidade de Aveiro, Portugal
Distinctions

Other distinction

2011 Certificado de Mérito
ICAEM 2011 - The 2011 International Conference of Applied and Engineering Mathematics, Imperial College, Londres, Inglaterra., United Kingdom