Artigo em revista |
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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.
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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.
- 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.
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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.
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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.
- 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.
- 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
- 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.
- 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
- 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
- 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
- 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
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Capítulo de livro |
- Ferreira, R.A.C.. "Fractional Difference Equations". 41-70. 2022.
10.1007/978-3-030-92724-0_3
- Ferreira, R.A.C.. "Calculus of Variations". 71-81. 2022.
10.1007/978-3-030-92724-0_4
- Ferreira, R.A.C.. "Discrete Fractional Calculus". 15-39. 2022.
10.1007/978-3-030-92724-0_2
- Ferreira, R.A.C.. "Discrete Calculus". 1-14. 2022.
10.1007/978-3-030-92724-0_1
- 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
- Ferreira, R.A.C.; Torres, D.F.M.. "Higher-order calculus of variations on time scales". 149-159. 2008.
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