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Identification

Personal identification

Full name
Rui Alexandre Cardoso Ferreira

Citation names

  • R. A. C. Ferreira

Author identifiers

Ciência ID
F613-E987-132F
ORCID iD
0000-0001-5839-0652
Researcher Id
C-8256-2013

Websites

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
Education
Degree Classification
2010
Concluded
 Matemática (Doutoramento)
Universidade de Aveiro, Portugal
2007
Concluded
 Engenharia Matemática (Mestrado)
Universidade do Porto, Portugal
2004
Concluded
 Matemática (Licenciatura)
Universidade do Porto, Portugal
Projects

Grant

Designation Funders
2014/10 - 2014/11 Raising the potential of universities as a factor in the development of knowledge-based economy
UDA-POKL.04.01.01-00-143/09
 Fundacja na rzecz Nauki Polskiej

Contract

Designation Funders
2019 - Current Applications of Fractional Calculus
CEECIND/00640/2017
 Fundação para a Ciência e a Tecnologia
2015 - 2019 Qualitative and Quantitative Theory for Fractional Differential and Difference Equations
IF/01345/2014
 Fundação para a Ciência e Tecnologia
2008/03/01 - 2010/08/31 CALCULUS OF VARIATIONS AND OPTIMAL CONTROL ON TIME SCALES
SFRH/BD/39816/2007
Universidade de Aveiro, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Book
  1. Ferreira, Rui A. C.. Discrete Fractional Calculus and Fractional Difference Equations. Springer International Publishing. 2022.
    10.1007/978-3-030-92724-0
Book chapter
  1. Ferreira, R.A.C.. "Fractional Difference Equations". 41-70. 2022.
    10.1007/978-3-030-92724-0_3
  2. Ferreira, R.A.C.. "Calculus of Variations". 71-81. 2022.
    10.1007/978-3-030-92724-0_4
  3. Ferreira, R.A.C.. "Discrete Fractional Calculus". 15-39. 2022.
    10.1007/978-3-030-92724-0_2
  4. Ferreira, R.A.C.. "Discrete Calculus". 1-14. 2022.
    10.1007/978-3-030-92724-0_1
  5. Ferreira, R.A.C.. "Lyapunov inequalities for some differential equations with integral-type boundary conditions". 59-70. 2018.
    10.1007/978-981-13-3013-1_3
  6. Ferreira, R.A.C.; Torres, D.F.M.. "Higher-order calculus of variations on time scales". 149-159. 2008.
Journal article
  1. Ferreira, R.A.C.. "ADDENDUM TO “A NEW LOOK AT BERNOULLI’S INEQUALITY”". Proceedings of the American Mathematical Society 151 1 (2023): 85-86. http://www.scopus.com/inward/record.url?eid=2-s2.0-85112467379&partnerID=MN8TOARS.
    10.1090/proc/15350
  2. Ferreira, R.A.C.; Simon, T.. "CONVOLUTION OF BETA PRIME DISTRIBUTION". Transactions of the American Mathematical Society 376 2 (2023): 855-890. http://www.scopus.com/inward/record.url?eid=2-s2.0-85146456955&partnerID=MN8TOARS.
    10.1090/tran/8748
  3. Ferreira, R.A.C.. "Sign of the Solutions of Linear Fractional Differential Equations and Some Applications". Vietnam Journal of Mathematics 51 2 (2023): 451-461. http://www.scopus.com/inward/record.url?eid=2-s2.0-85118836764&partnerID=MN8TOARS.
    10.1007/s10013-021-00541-4
  4. Ferreira, R.A.C.. "Discrete fractional calculus and the Saalschutz theorem". Bulletin des Sciences Mathematiques 174 (2022): http://www.scopus.com/inward/record.url?eid=2-s2.0-85118859162&partnerID=MN8TOARS.
    10.1016/j.bulsci.2021.103086
  5. Ferreira, R.A.C.. "Stability of a class of entropies based on fractional calculus". Journal of Applied Analysis 28 1 (2022): 105-107. http://www.scopus.com/inward/record.url?eid=2-s2.0-85118267906&partnerID=MN8TOARS.
    10.1515/jaa-2021-2065
  6. Rui A. C. Ferreira. "An entropy based on a fractional difference operator". Journal of Difference Equations and Applications (2021): https://doi.org/10.1080/10236198.2021.1881072.
    10.1080/10236198.2021.1881072
  7. Ferreira, R.A.C.. "TWO-POINT FRACTIONAL BOUNDARY VALUE PROBLEMS". Journal of Integral Equations and Applications 33 2 (2021): 229-236. http://www.scopus.com/inward/record.url?eid=2-s2.0-85114767489&partnerID=MN8TOARS.
    10.1216/jie.2021.33.229
  8. Bourdin, L.; Ferreira, R.A.C.. "Legendre’s Necessary Condition for Fractional Bolza Functionals with Mixed Initial/Final Constraints". Journal of Optimization Theory and Applications 190 2 (2021): 672-708. http://www.scopus.com/inward/record.url?eid=2-s2.0-85110854945&partnerID=MN8TOARS.
    10.1007/s10957-021-01908-w
  9. Alzer, H.; Ferreira, R.A.C.. "Concavity and generalized entropy". Applied Mathematics E - Notes 21 (2021): 37-43. http://www.scopus.com/inward/record.url?eid=2-s2.0-85121269138&partnerID=MN8TOARS.
  10. Ferreira, R.A.C.. "Discrete weighted fractional calculus and applications". Nonlinear Dynamics 104 3 (2021): 2531-2536. http://www.scopus.com/inward/record.url?eid=2-s2.0-85103414172&partnerID=MN8TOARS.
    10.1007/s11071-021-06410-6
  11. Ferreira, R.A.C.. "Note on a uniqueness result for a two-point fractional boundary value problem". Applied Mathematics Letters 90 (2019): 75-78. http://www.scopus.com/inward/record.url?eid=2-s2.0-85056476773&partnerID=MN8TOARS.
    10.1016/j.aml.2018.10.020
  12. Ferreira, R.A.C.. "Anti-symmetry of the second eigenfunction of the fractional Laplace operator in a 3-D ball". Nonlinear Differential Equations and Applications 26 1 (2019): http://www.scopus.com/inward/record.url?eid=2-s2.0-85060938746&partnerID=MN8TOARS.
    10.1007/s00030-019-0554-x
  13. Ferreira, R.A.C.. "Fractional calculus of variations: A novel way to look at it". Fractional Calculus and Applied Analysis 22 4 (2019): 1133-1144. http://www.scopus.com/inward/record.url?eid=2-s2.0-85074423324&partnerID=MN8TOARS.
    10.1515/fca-2019-0059
  14. Ferreira, R.A.C.. "Novel Lyapunov-type inequalities for sequential fractional boundary value problems". Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 113 1 (2019): 171-179. http://www.scopus.com/inward/record.url?eid=2-s2.0-85060326010&partnerID=MN8TOARS.
    10.1007/s13398-017-0462-z
  15. Ferreira, R.A.C.; Machado, J.T.. "An entropy formulation based on the generalized Liouville fractional derivative". Entropy 21 7 (2019): http://www.scopus.com/inward/record.url?eid=2-s2.0-85068928456&partnerID=MN8TOARS.
    10.3390/e21070638
  16. Ferreira, R.A.C.. "Corrigendum to nontrivial solutions for fractional q-difference boundary value problems [Electron. J. Qual. Theory Differ. Equ. 2010, No. 70, 1-10]". Electronic Journal of Qualitative Theory of Differential Equations 2019 (2019): http://www.scopus.com/inward/record.url?eid=2-s2.0-85069689127&partnerID=MN8TOARS.
    10.14232/ejqtde.2019.1.44
  17. Ferreira, R.A.C.. "Fractional de la Vallée poussin inequalities". Mathematical Inequalities and Applications 22 3 (2019): 917-930. http://www.scopus.com/inward/record.url?eid=2-s2.0-85071684091&partnerID=MN8TOARS.
    10.7153/mia-2019-22-62
  18. Ferreira, R.A.C.. "A de la Vallée Poussin Type Inequality on Time Scales". Results in Mathematics 73 3 (2018): http://www.scopus.com/inward/record.url?eid=2-s2.0-85048289762&partnerID=MN8TOARS.
    10.1007/s00025-018-0851-4
  19. Ferreira, R.A.C.; Silva, C.M.. "A nonautonomous epidemic model on time scales". Journal of Difference Equations and Applications 24 8 (2018): 1295-1317. http://www.scopus.com/inward/record.url?eid=2-s2.0-85048378146&partnerID=MN8TOARS.
    10.1080/10236198.2018.1479400
  20. Ferreira, R.A.C.. "A new look at Bernoulli’s inequality". Proceedings of the American Mathematical Society 146 3 (2018): 1123-1129. http://www.scopus.com/inward/record.url?eid=2-s2.0-85041544209&partnerID=MN8TOARS.
    10.1090/proc/13798
  21. Ferreira, Rui A. C.. "LYAPUNOV-TYPE INEQUALITY FOR AN ANTI-PERIODIC FRACTIONAL BOUNDARY VALUE PROBLEM". Fractional Calculus and Applied Analysis 20 1 (2017): 284-291. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000394582900015&KeyUID=WOS:000394582900015.
    10.1515/fca-2017-0015
  22. Antunes, Pedro R. S.; Ferreira, Rui A. C.. "Analysis of a class of boundary value problems depending on left and right Caputo fractional derivatives". Communications in Nonlinear Science and Numerical Simulation 48 (2017): 398-413. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000395211000032&KeyUID=WOS:000395211000032.
    10.1016/j.cnsns.2017.01.017
  23. Ferreira, Rui A. C.. "EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR TWO-POINT FRACTIONAL BOUNDARY VALUE PROBLEMS". Electronic Journal of Differential Equations (2016): http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000381070700003&KeyUID=WOS:000381070700003.
  24. Ferreira, R.A.C.. "Existence and uniqueness of solutions for two-point fractional boundary value problems". Electronic Journal of Differential Equations 2016 (2016): http://www.scopus.com/inward/record.url?eid=2-s2.0-84983517752&partnerID=MN8TOARS.
  25. Ferreira, Rui A. C.; Malinowska, Agnieszka B.. "A counterexample to a Frederico-Torres fractional Noether-type theorem". Journal of Mathematical Analysis and Applications 429 2 (2015): 1370-1373. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000354828300038&KeyUID=WOS:000354828300038.
    10.1016/j.jmaa.2015.03.060
  26. Antunes, Pedro R. S.; Ferreira, Rui A. C.. "AN AUGMENTED-RBF METHOD FOR SOLVING FRACTIONAL STURM-LIOUVILLE EIGENVALUE PROBLEMS". Siam Journal on Scientific Computing 37 1 (2015): A515-A535. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000351210200022&KeyUID=WOS:000351210200022.
    10.1137/140954209
  27. Ferreira, R.A.C.; Goodrich, C.S.. "On positive solutions to fractional difference inclusions". Analysis (Germany) 35 2 (2015): 73-83. http://www.scopus.com/inward/record.url?eid=2-s2.0-84928891835&partnerID=MN8TOARS.
    10.1515/anly-2012-1281
  28. Ferreira, R.A.C.. "On a Lyapunov-type inequality and the zeros of a certain Mittag-Leffler function". Journal of Mathematical Analysis and Applications 412 2 (2014): 1058-1063. http://www.scopus.com/inward/record.url?eid=2-s2.0-84891557995&partnerID=MN8TOARS.
    10.1016/j.jmaa.2013.11.025
  29. Ferreira, R.A.C.. "A Lyapunov-type inequality for a fractional boundary value problem". Fractional Calculus and Applied Analysis 16 4 (2013): 978-984. http://www.scopus.com/inward/record.url?eid=2-s2.0-84888111270&partnerID=MN8TOARS.
    10.2478/s13540-013-0060-5
  30. Ferreira, R.A.C.. "A Nagumo-type uniqueness result for an nth order differential equation". Bulletin of the London Mathematical Society 45 5 (2013): 930-934. http://www.scopus.com/inward/record.url?eid=2-s2.0-84884516061&partnerID=MN8TOARS.
    10.1112/blms/bdt022
  31. Ferreira, R.A.C.. "A probability problem arising from the security of the temporal key Hash of WPA". Wireless Personal Communications 70 4 (2013): 1235-1241. http://www.scopus.com/inward/record.url?eid=2-s2.0-84878581325&partnerID=MN8TOARS.
    10.1007/s11277-012-0744-x
  32. Ferreira, R.A.C.. "Existence and uniqueness of solution to some discrete fractional boundary value problems of order less than one". Journal of Difference Equations and Applications 19 5 (2013): 712-718. http://www.scopus.com/inward/record.url?eid=2-s2.0-84876992042&partnerID=MN8TOARS.
    10.1080/10236198.2012.682577
  33. Almeida, R.; Ferreira, R.A.C.; Torres, D.F.M.. "Isoperimetric problems of the calculus of variations with fractional derivatives". Acta Mathematica Scientia 32 2 (2012): 619-630. http://www.scopus.com/inward/record.url?eid=2-s2.0-84857758121&partnerID=MN8TOARS.
    10.1016/S0252-9602(12)60043-5
  34. Ferreira, R.A.C.. "A uniqueness result for a fractional differential equation". Fractional Calculus and Applied Analysis 15 4 (2012): 611-615. http://www.scopus.com/inward/record.url?eid=2-s2.0-84869151678&partnerID=MN8TOARS.
    10.2478/s13540-012-0042-z
  35. Ferreira, R.A.C.; Goodrich, C.S.. "Positive solution for a discrete fractional periodic boundary value problem". Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis 19 5 (2012): 545-557. http://www.scopus.com/inward/record.url?eid=2-s2.0-84866935467&partnerID=MN8TOARS.
  36. Ferreira, R.A.C.. "Nonnegative solutions of a fredholm type integral equation with applications to boundary value problems". Acta Applicandae Mathematicae 121 1 (2012): 45-56. http://www.scopus.com/inward/record.url?eid=2-s2.0-84866015116&partnerID=MN8TOARS.
    10.1007/s10440-012-9673-7
  37. Ferreira, R.A.C.. "Discrete fractional Gronwall inequality". Proceedings of the American Mathematical Society 140 5 (2012): 1605-1612. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856145422&partnerID=MN8TOARS.
    10.1090/S0002-9939-2012-11533-3
  38. 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
  39. Bastos, N.R.O.; Ferreira, R.A.C.; Torres, D.F.M.. "Discrete-time fractional variational problems". Signal Processing 91 3 (2011): 513-524. http://www.scopus.com/inward/record.url?eid=2-s2.0-78049333168&partnerID=MN8TOARS.
    10.1016/j.sigpro.2010.05.001
  40. Bastos, N.R.O.; Ferreira, R.A.C.; Torres, D.F.M.. "Necessary optimality conditions for fractional difference problems of the calculus of variations". Discrete and Continuous Dynamical Systems 29 2 (2011): 417-437. http://www.scopus.com/inward/record.url?eid=2-s2.0-78651241495&partnerID=MN8TOARS.
    10.3934/dcds.2011.29.417
  41. Ferreira, R.A.C.. "Positive solutions for a class of boundary value problems with fractional q-differences". Computers and Mathematics with Applications 61 2 (2011): 367-373. http://www.scopus.com/inward/record.url?eid=2-s2.0-78651236363&partnerID=MN8TOARS.
    10.1016/j.camwa.2010.11.012
  42. Ferreira, R.A.C.; Malinowska, A.B.; Torres, D.F.M.. "Optimality conditions for the calculus of variations with higher-order delta derivatives". Applied Mathematics Letters 24 1 (2011): 87-92. http://www.scopus.com/inward/record.url?eid=2-s2.0-77957553198&partnerID=MN8TOARS.
    10.1016/j.aml.2010.08.023
  43. Ferreira, R.A.C.. "Nontrivial solutions for fractional q-difference boundary value problems". Electronic Journal of Qualitative Theory of Differential Equations (2010): 1-10. http://www.scopus.com/inward/record.url?eid=2-s2.0-85086615474&partnerID=MN8TOARS.
    10.14232/ejqtde.2010.1.70
  44. 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.
  45. Ferreira, R.A.C.. "Existence of solution to an integrodynamic equation". Dynamic Systems and Applications 19 2 (2010): 289-302. http://www.scopus.com/inward/record.url?eid=2-s2.0-77957989364&partnerID=MN8TOARS.
  46. Ferreira, R.A.C.. "Constantin integral inequalities on time scales". Archiv der Mathematik 93 2 (2009): 153-163. http://www.scopus.com/inward/record.url?eid=2-s2.0-70349651887&partnerID=MN8TOARS.
    10.1007/s00013-009-0028-1
  47. 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.
  48. Ferreira, R.A.C.; Torres, D.F.M.. "Generalizations of Gronwall-Bihari inequalities on time scales". Journal of Difference Equations and Applications 15 6 (2009): 529-539. http://www.scopus.com/inward/record.url?eid=2-s2.0-70349652484&partnerID=MN8TOARS.
    10.1080/10236190802213276
  49. Ferreira, R.A.C.; Torres, D.F.M.. "Generalized retarded integral inequalities". Applied Mathematics Letters 22 6 (2009): 876-881. http://www.scopus.com/inward/record.url?eid=2-s2.0-64949159732&partnerID=MN8TOARS.
    10.1016/j.aml.2008.08.022
  50. Ferreira, R.A.C.. "Existence of solutions to some retarded integrodifferential equations via the topological transversality theorem". Nonlinear Analysis, Theory, Methods and Applications 72 6 (2009): 3062-3068. http://www.scopus.com/inward/record.url?eid=2-s2.0-73249139514&partnerID=MN8TOARS.
    10.1016/j.na.2009.11.045
  51. Sidi Ammi, M.R.; Ferreira, R.A.C.; Torres, D.F.M.. "Diamond-a Jensen's inequality on time scales". Journal of Inequalities and Applications 2008 (2008): http://www.scopus.com/inward/record.url?eid=2-s2.0-45349090554&partnerID=MN8TOARS.
    10.1155/2008/576876

Other

Other output
  1. ON THE LOG-CONCAVITY OF THE WRIGHT FUNCTION. 2022. Ferreira, R.A.C.; Simon, T.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85144641871&partnerID=MN8TOARS.
    10.48550/arXiv.2212.07974
  2. Generalized discrete operators. 2021. Ferreira, R.A.C.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85108127861&partnerID=MN8TOARS.
  3. Sign of the solutions of linear fractional differential equations and some applications. 2021. Ferreira, R.A.C.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85102164401&partnerID=MN8TOARS.
  4. DISCRETE FRACTIONAL CALCULUS AND THE SAALSCHUTZ THEOREM. 2020. Ferreira, R.A.C.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85095531002&partnerID=MN8TOARS.
  5. Legendre's necessary condition for fractional Bolza functionals with mixed initial/final constraints. 2020. Bourdin, L.; Ferreira, R.A.C.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85112716816&partnerID=MN8TOARS.
  6. Fractional calculus of variations: A novel way to look at it. 2018. Ferreira, R.A.C.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85093348299&partnerID=MN8TOARS.
  7. Fractional de la Vallée Poussin inequalities. 2018. Ferreira, R.A.C.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85093154657&partnerID=MN8TOARS.
  8. ANTI-SYMMETRY OF THE SECOND EIGENFUNCTION OF THE FRACTIONAL LAPLACE OPERATOR IN A 3-D BALL. 2017. Ferreira, R.A.C.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85093043606&partnerID=MN8TOARS.
Distinctions

Award

2020 Menção Honrosa nos "Prémios Universidade de Lisboa/Caixa Geral de Depósitos"
Universidade de Lisboa, Portugal
2014 Young Researcher Award ("Prémio Jovem Doutor")
Universidade de Aveiro, Portugal

Other distinction

2015 The European Association for Signal Processing (EURASIP) 2015 Best Paper Award for the Signal Processing journal
European Association for Signal Processing, Belgium