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Milton dos Santos Ferreira. Concluiu o Doutoramento em Doutoramento em Matemática em 2008 pela Universidade de Aveiro e a Licenciatura em Ensino de Matemática em 2003 pela Universidade de Aveiro. É Professor Adjunto no Instituto Politécnico de Leiria. Publicou 26 artigos em revistas especializadas. Possui 1 livro. Participou como Investigador em 4 projetos. Atua na área de Ciências Exatas com ênfase em Matemática. No seu currículo Ciência Vitae os termos mais frequentes na contextualização da produção científica são: gyrogroups, Laplace Beltrami operator, Eigenfunctions; Multivariate Mittag-Leffler function; First and second fundamental solutions; Mathematics, Gyroharmonic Analysis, Time-fractional telegraph Laplace and Dirac operator; Caputo fractional derivative; Fractional Laplace operator, Fractional Calculus, Wavelets.
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Identification

Personal identification

Full name
Milton dos Santos Ferreira

Citation names

  • Ferreira, M.

Author identifiers

Ciência ID
CA19-2009-F26D
ORCID iD
0000-0003-1816-8293
Researcher Id
ID: A-2004-2015
Scopus Author Id
12144179800

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
French Intermediate (B1) Intermediate (B1) Intermediate (B1) Intermediate (B1)
Education
Degree Classification
2003 - 2008/01/04
Concluded
 PhD in Mathematics (Doutoramento)
Major in Matemática
Universidade de Aveiro, Portugal
"Transformadas Contínuas de Onduleta na Superfície Esférica" (THESIS/DISSERTATION)
 Aprovado
1998/09/01 - 2003/06/03
Concluded
 Licenciatura em Ensino de Matemática (Licenciatura)
Major in Matemática
Universidade de Aveiro, Portugal
 18 valores
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2020/05/14 - Current Adjunct Teacher (Polytechnic Teacher) Instituto Politécnico de Leiria, Portugal
Instituto Politécnico de Leiria Escola Superior de Tecnologia e Gestão, Portugal
2008/03/01 - 2010/05/13 Invited Adjunct Teacher (Polytechnic Teacher) Instituto Politécnico de Leiria, Portugal
Instituto Politécnico de Leiria Escola Superior de Tecnologia e Gestão, Portugal
2007/10/01 - 2008/02/29 Invited Assistant (Polytechnic Teacher) Instituto Politécnico de Leiria, Portugal
Instituto Politécnico de Leiria Escola Superior de Tecnologia e Gestão, Portugal
2004/09/13 - 2005/07/29 Tutor (University Teacher) Universidade de Aveiro, Portugal
Universidade de Aveiro Departamento de Matemática, Portugal
2003/09/22 - 2004/07/30 Tutor (University Teacher) Universidade de Aveiro, Portugal
Universidade de Aveiro Departamento de Matemática, Portugal
Projects

Grant

Designation Funders
2003/09/01 - 2008/08/31 Transformadas Contínuas de Onduleta na Superfície Esférica
Ph.D.-grant No. SFRH/BD/12744/2003
PhD Student Fellow
Universidade de Aveiro Departamento de Matemática, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded

Contract

Designation Funders
2020/01/01 - 2023/12/31 Centro de Investigação e Desenvolvimento em Matemática e Aplicações
UIDP/04106/2020
10.54499/UIDP/04106/2020
Researcher
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
2020/01/01 - 2023/12/31 Centro de Investigação e Desenvolvimento em Matemática e Aplicações
UIDB/04106/2020
10.54499/UIDB/04106/2020
Researcher
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
2018/01/01 - 2018/12/31 New function Theoretical Methods in Computational Electrodynamics
Ação No. A-15/17
Researcher
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal

Universität Erfurt, Germany
Conselho de Reitores das Universidades Portuguesas

Deutscher Akademischer Austauschdienst Dienst
Concluded
2016/01/01 - 2017/12/31 Global operator calculi on compact and non-compact Lie groups
Ação No. A-42/16
Researcher
Universidade de Aveiro, Portugal

Universität Stuttgart Fakultät 8 für Mathematik und Physik, Germany
Conselho de Reitores das Universidades Portuguesas

Deutscher Akademischer Austauschdienst
2012/01/01 - 2014/12/31 Conformal monogenic frames for image analysis
Ação No. A-48/12
Researcher
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal

Technische Universität München, Germany
Conselho de Reitores das Universidades Portuguesas
Concluded
2008/01/01 - 2009/12/31 Spherical Radon Transform and Coorbit Theory
Ação No. A-15/17
Researcher
Universidade de Aveiro, Portugal

Konrad-Zuse-Zentrum für Informationstechnik Berlin, Germany
Conselho de Reitores das Universidades Portuguesas

Deutscher Akademischer Austauschdienst
Concluded
Outputs

Publications

Book
  1. Ferreira, M.. Gyrogroups in projective hyperbolic clifford analysis. 2011.
    10.1007/978-3-0346-0246-4-5
Book chapter
  1. Ferreira, M.. "Multidimensional Time Fractional Diffusion Equation". 107-117. Springer International Publishing, 2017.
    10.1007/978-3-319-59384-5_10
  2. Ferreira, M.. "Eigenfunctions and Fundamental Solutions of the Caputo Fractional Laplace and Dirac Operators". edited by Swanhild Bernstein; Uwe Kähler; Irene; Sabadini; Franciscus Sommen, 191-202. Springer International Publishing, 2016.
    10.1007/978-3-319-42529-0
Conference paper
  1. Vieira, N.; Rodrigues, M. M.; Ferreira, M.. "On a fractional Sturm-Liouville problem in higher dimensions". Paper presented in International Conference of Numerical Analysis and Applied Mathematics 2021 (ICNAAM 2021), Rhodes, 2023.
    Published • 10.1063/5.0163478
  2. Vieira, N.; Rodrigues, M. M.; Ferreira, M.. "Eigenfunctions of the time-fractional telegraph equation of distributed order". Paper presented in International Conference of Numerical Analysis and Applied Mathematics 2021 (ICNAAM 2021), Rhodes, 2021.
    Published • 10.1063/5.0162293
  3. Vieira, N.; Rodrigues, M. M.; Ferreira, M.. "Uniformly distributed-order wave equation in higher dimensions". Paper presented in International Conference of Numerical Analysis and Applied Mathematics 2021 (ICNAAM 2021), Rhodes, 2021.
    Published • 10.1063/5.0162287
  4. Ferreira, M.; Kraußhar, R. S.; Rodrigues, M. M.; Vieira, N.. "Application of the hypercomplex fractional integro-differential operators to the fractional Stokes equation". Paper presented in ICNAAM 2018 - International Conference of Numerical Analysis and Applied Mathematics, 2018.
    Published • 10.1063/1.5114148
  5. Ferreira, Milton; Rodrigues, M.M; Vieira, N.. "First and Second Fundamental Solutions of the Time-Fractional Telegraph Equation of Order $2\alpha$". Paper presented in ICNPAA 2018 Congress - ICNPAA Congress: Mathematical Problems in Engineering, Aerospace and Sciences, 2018.
    Published
  6. Milton dos Santos Ferreira; Nelson Felipe Loureiro Vieira. "Eigenfunctions and fundamental solutions for the Fractional Laplacian in 3 dimensions". Paper presented in 20th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering, Weimar, 2015.
    Published
  7. Ferreira, M.. "Complex dilations, shearings, and rotations". 2012.
    10.1063/1.4756119
Journal article
  1. Ferreira, M.; Morais, J.. Corresponding author: Ferreira, M.. "Quaternion Hyperbolic Fourier Transforms and Uncertainty Principles". Complex Analysis and Operator Theory 18 2 (2023): http://dx.doi.org/10.1007/s11785-023-01451-8.
    Published • 10.1007/s11785-023-01451-8
  2. J. Morais; M. Ferreira. "Hyperbolic linear canonical transforms of quaternion signals and uncertainty". Applied Mathematics and Computation 450 (2023): 127971-127971. http://dx.doi.org/10.1016/j.amc.2023.127971.
    10.1016/j.amc.2023.127971
  3. P. Cerejeiras; M. Ferreira; U. Kähler; J. Wirth. "Global Operator Calculus on Spin Groups". Journal of Fourier Analysis and Applications (2023): https://doi.org/10.1007/s00041-023-10015-5.
    10.1007/s00041-023-10015-5
  4. Nelson Vieira; M. Manuela Rodrigues; Milton Ferreira. "Fractional Gradient Methods via psi-Hilfer Derivative". Fractal and Fractional (2023): https://doi.org/10.3390/fractalfract7030275.
    10.3390/fractalfract7030275
  5. Nelson Vieira; M. Manuela Rodrigues; Milton Ferreira. "Time-fractional diffusion equation with psi-Hilfer derivative". Computational and Applied Mathematics (2022): https://doi.org/10.1007/s40314-022-01911-5.
    10.1007/s40314-022-01911-5
  6. Ferreira, M.. "Time-fractional telegraph equation of distributed order in higher dimensions". Communications in Nonlinear Science and Numerical Simulation 102 (2021): 105925-105925. http://dx.doi.org/10.1016/j.cnsns.2021.105925.
    10.1016/j.cnsns.2021.105925
  7. 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
  8. Ferreira, M.. "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
  9. Milton Ferreira; Yury Luchko; M. Manuela Rodrigues; Nelson Vieira. "Eigenfunctions of the time-fractional diffusion-wave operator". Mathematical Methods in the Applied Sciences (2021): https://doi.org/10.1002/mma.6874.
    10.1002/mma.6874
  10. Milton Ferreira; Teerapong Suksumran. "Orthogonal Gyrodecompositions of Real Inner Product Gyrogroups". Symmetry (2020): https://doi.org/10.3390/sym12060941.
    10.3390/sym12060941
  11. A. Di Teodoro; M. Ferreira; N. Vieira. "Fundamental Solution for Natural Powers of the Fractional Laplace and Dirac Operators in the Riemann-Liouville Sense". Advances in Applied Clifford Algebras 30 1 (2020): https://doi.org/10.1007/s00006-019-1029-1.
    10.1007/s00006-019-1029-1
  12. Ferreira, M.. "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
  13. 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 (2019): https://doi.org/10.1002/mma.5602.
    10.1002/mma.5602
  14. 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://www.scopus.com/inward/record.url?eid=2-s2.0-85045983552&partnerID=MN8TOARS.
    10.1007/s00006-018-0858-7
  15. Ferreira, M.. "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
  16. M. Ferreira; N. Vieira. "Fundamental solutions of the time fractional diffusion-wave and parabolic Dirac operators". Journal of Mathematical Analysis and Applications 447 1 (2017): 329-353. https://doi.org/10.1016/j.jmaa.2016.08.052.
    10.1016/j.jmaa.2016.08.052
  17. Ferreira, M.; Vieira, N.. "Eigenfunctions and fundamental solutions of the fractional Laplace and Dirac operators using Caputo derivatives". Complex Variables and Elliptic Equations 62 9 (2017): 1237-1253. http://www.scopus.com/inward/record.url?eid=2-s2.0-85013170686&partnerID=MN8TOARS.
    10.1080/17476933.2016.1250401
  18. Ferreira, M.; Rodrigues, M.M.; Vieira, N.. "Fundamental solution of the multi-dimensional time fractional telegraph equation". Fractional Calculus and Applied Analysis 20 4 (2017): 868-894. http://www.scopus.com/inward/record.url?eid=2-s2.0-85027355235&partnerID=MN8TOARS.
    10.1515/fca-2017-0046
  19. Ferreira, M.. "Harmonic analysis on the proper velocity gyrogroup". Banach Journal of Mathematical Analysis 11 1 (2017): 21-49. http://www.scopus.com/inward/record.url?eid=2-s2.0-85008208840&partnerID=MN8TOARS.
    10.1215/17358787-3721232
  20. Paiva, R.C.; Ferreira, M.S.; Frade, M.M.. "Intelligent tutorial system based on personalized system of instruction to teach or remind mathematical concepts". Journal of Computer Assisted Learning 33 4 (2017): 370-381. http://www.scopus.com/inward/record.url?eid=2-s2.0-85016412795&partnerID=MN8TOARS.
    10.1111/jcal.12186
  21. M. Ferreira. "Gyroharmonic Analysis on Relativistic Gyrogroups". Mathematics Interdisciplinary Research 1 1 (2016): 69-109. http://mir.kashanu.ac.ir/article_13908.html.
    Open access • Published • 10.22052/mir.2016.13908
  22. Ferreira, M.; Vieira, N.. "Eigenfunctions and Fundamental Solutions of the Fractional Laplace and Dirac Operators: The Riemann-Liouville Case". Complex Analysis and Operator Theory 10 5 (2016): 1081-1100. http://www.scopus.com/inward/record.url?eid=2-s2.0-84954316326&partnerID=MN8TOARS.
    10.1007/s11785-015-0529-9
  23. Ferreira, M.. "Harmonic Analysis on the Möbius Gyrogroup". Journal of Fourier Analysis and Applications 21 2 (2015): 281-317. http://www.scopus.com/inward/record.url?eid=2-s2.0-84925511665&partnerID=MN8TOARS.
    10.1007/s00041-014-9370-1
  24. Paiva, R.C.; Ferreira, M.S.; Mendes, A.G.; Eusébio, A.M.J.. "Interactive and multimedia contents associated with a system for computer-aided assessment". Journal of Educational Computing Research 52 2 (2015): 224-256. http://www.scopus.com/inward/record.url?eid=2-s2.0-84930330583&partnerID=MN8TOARS.
    10.1177/0735633115571305
  25. Ferreira, M.. "Harmonic analysis on the Einstein gyrogroup". Journal of Geometry and Symmetry in Physics 35 (2014): 21-60. http://www.scopus.com/inward/record.url?eid=2-s2.0-84922929172&partnerID=MN8TOARS.
    10.7546/jgsp-35-2014-21-60
  26. Morais, J.; Ferreira, M.. "3D deformations by means of monogenic functions". Mathematical Methods in the Applied Sciences 36 7 (2013): 780-793. http://www.scopus.com/inward/record.url?eid=2-s2.0-84876566234&partnerID=MN8TOARS.
    10.1002/mma.2625
  27. Ferreira, M.; Sommen, F.. "Complex Boosts: A Hermitian Clifford Algebra Approach". Advances in Applied Clifford Algebras 23 2 (2013): 339-362. http://www.scopus.com/inward/record.url?eid=2-s2.0-84878105747&partnerID=MN8TOARS.
    10.1007/s00006-012-0377-x
  28. Cerejeiras, P.; Ferreira, M.; Kähler, U.; Teschke, G.. "Inversion of the noisy Radon transform on so (3) by Gabor frames and sparse recovery principles". Applied and Computational Harmonic Analysis 31 3 (2011): 325-345. http://www.scopus.com/inward/record.url?eid=2-s2.0-80052930031&partnerID=MN8TOARS.
    10.1016/j.acha.2011.01.005
  29. Ferreira, M.; Ren, G.. "Möbius gyrogroups: A Clifford algebra approach". Journal of Algebra 328 1 (2011): 230-253. http://www.scopus.com/inward/record.url?eid=2-s2.0-78649993660&partnerID=MN8TOARS.
    10.1016/j.jalgebra.2010.05.014
  30. Ferreira, M.. "Factorizations of möbius gyrogroups". Advances in Applied Clifford Algebras 19 2 (2009): 303-323. http://www.scopus.com/inward/record.url?eid=2-s2.0-70349980867&partnerID=MN8TOARS.
    10.1007/s00006-009-0154-7
  31. Ferreira, M.. "Spherical continuous wavelet transforms arising from sections of the Lorentz group". Applied and Computational Harmonic Analysis 26 2 (2009): 212-229. http://www.scopus.com/inward/record.url?eid=2-s2.0-59649117870&partnerID=MN8TOARS.
    10.1016/j.acha.2008.04.005
  32. Ferreira, M.. "Spherical wavelet transform". Advances in Applied Clifford Algebras 18 3-4 (2008): 611-619. http://www.scopus.com/inward/record.url?eid=2-s2.0-58149498669&partnerID=MN8TOARS.
    10.1007/s00006-008-0091-x
  33. Cerejeiras, P.; Ferreira, M.; Kähler, U.; Sommen, F.. "Continuous wavelet transform and wavelet frames on the sphere using Clifford analysis". Communications on Pure and Applied Analysis 6 3 (2007): 619-641. http://www.scopus.com/inward/record.url?eid=2-s2.0-34547953560&partnerID=MN8TOARS.
  34. Ferreira, M.. "Monogenic frames for an integral transform on the unit sphere". Complex Variables and Elliptic Equations 51 1 (2006): 51-61. http://dx.doi.org/10.1080/02781070500319672.
    10.1080/02781070500319672
  35. Cerejeiras, P.; Ferreira, M.; Kähler, U.. "Monogenic wavelets over the unit ball". Zeitschrift fur Analysis und ihre Anwendung 24 4 (2005): 841-852. http://www.scopus.com/inward/record.url?eid=2-s2.0-32044475373&partnerID=MN8TOARS.
Distinctions

Award

2002 Merit Scholarship (Bolsa de Mérito Licenciatura)
Universidade de Aveiro, Portugal
1999 Merit Scholarship (Bolsa de Mérito Licenciatura)
Universidade de Aveiro, Portugal