Edit Profile (opens in new tab) de Oliveira, Edmundo Capelas Compute Distance To: Compute Author ID: de-oliveira.edmundo-capelas Published as: de Oliveira, E. Capelas; de Oliveira, Edmundo Capelas; de Oliveira, E. C.; de Oliveira, Edmundo C.; Capelas de Oliveira, E. External Links: MGP · Google Scholar · ResearchGate · dblp · GND Documents Indexed: 124 Publications since 1982, including 6 Books Co-Authors: 64 Co-Authors with 118 Joint Publications 642 Co-Co-Authors all top 5 Co-Authors 6 single-authored 32 Vanterler da Costa Sousa, José 14 Rodrigues, Waldyr Alves jun. 14 Vaz, Jayme jun. 11 Notte-Cuello, Eduardo Alfonso 7 Costa, Félix Silva 7 Gomes, Denilson 5 Arcidiacono, Giuseppe 5 da Rocha, Roldão Jun. 4 Bellandi Filho, J. 4 Chiacchio, Ary Orozimbo 4 Kucche, Kishor D. 4 Oliveira, Daniela S. 4 Pavão, H. Germano 3 Contharteze Grigoletto, Eliana 3 de Figueiredo Camargo, Rubens 3 Ducati, Gisele C. 3 Machado, José António Tenreiro 3 Magna, L. A. 2 Camargo, R. Figueiredo 2 Camargo, Rubens F. 2 Charnet, Reinaldo 2 Deif, Sarah A. 2 Figueiredo, Vera L. X. 2 Frederico, Gastão S. F. 2 Plata, Adrian R. G. 2 Rodrigues, Fabio Grangeiro 2 Teodoro, G. Sales 1 Arruda-Neto, J. D. T. 1 Assis, A. K. T. 1 Bellandi, J. 1 Cortez, L. A. B. 1 de Oliveira, César R. 1 de Oliveira, Douglas Soldan 1 Deppman, Airton 1 dos Santos, Magnun N. N. 1 dos Santos, Magun N. N. 1 Duarte, S. B. 1 Evangelista, Luiz Roberto 1 Fečkan, Michal 1 Figueiredo Camargo, Rubens 1 Gómez Plata, Adrián Ricardo 1 Hernandes, J. A. 1 Jarosz, Stefânia 1 Kaminski Lenzi, Ervin 1 Lenzi, Marcelo K. 1 Lima, K. B. 1 Mainardi, Francesco 1 Marão, J. A. P. F. 1 Monaco, R. L. 1 Oliveira, Daniela dos Santos 1 Prado, Roberto A. 1 Pulido, M. Aurora P. 1 Ramos, Priscila Santos 1 Ribeiro, Haroldo V. 1 Rosa, Ester C. A. F. 1 Rosa, Marcio A. F. 1 Soares, Junior C. A. 1 Soares, J. C. Alves 1 Soubhia, Ana L. 1 Tavares, Leandro S. 1 Tavares, O. A. P. 1 Teixeira, Bárbara De Holanda Maia 1 Thober, D. S. 1 Xavier, Ademir Luis jun. all top 5 Serials 16 International Journal of Mathematical Education in Science and Technology 10 Computational and Applied Mathematics 9 Journal of Mathematical Physics 8 International Journal of Theoretical Physics 6 Hadronic Journal 6 TEMA. Tendências em Matemática Aplicada e Computacional 3 Mathematical Methods in the Applied Sciences 3 Physics Letters. A 3 Hadronic Journal Supplement 3 Communications in Nonlinear Science and Numerical Simulation 3 Bulletin of the Brazilian Mathematical Society. New Series 3 AIMS Mathematics 2 Applied Mathematics Letters 2 Algebras, Groups and Geometries 2 International Journal of Modern Physics D 2 Mathematical Physics, Analysis and Geometry 2 Mediterranean Journal of Mathematics 2 Lecture Notes in Physics 2 Notas em Matemática Aplicada 1 Computer Physics Communications 1 Journal of Computational Physics 1 Reports on Mathematical Physics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Results in Mathematics 1 Journal of Physics A: Mathematical and General 1 Random Operators and Stochastic Equations 1 Integral Transforms and Special Functions 1 Mathematical Problems in Engineering 1 Fractional Calculus & Applied Analysis 1 Annalen der Physik. 8th Series 1 Gravitation & Cosmology 1 Foundations of Physics Letters 1 Boundary Value Problems 1 Journal of Fixed Point Theory and Applications 1 Revista Mexicana Física 1 Journal of Physics A: Mathematical and Theoretical 1 Differential Equations and Applications 1 Advances in Pure and Applied Mathematics 1 Journal of Pseudo-Differential Operators and Applications 1 Communications in Applied and Industrial Mathematics 1 S\(\vec{\text{e}}\)MA Journal 1 Palestine Journal of Mathematics 1 Evolution Equations and Control Theory 1 Journal of Applied Nonlinear Dynamics 1 International Journal of Analysis and Applications 1 Nonautonomous Dynamical Systems 1 Studies in Systems, Decision and Control 1 Electronic Research Archive all top 5 Fields 40 Real functions (26-XX) 37 Partial differential equations (35-XX) 30 Special functions (33-XX) 27 Ordinary differential equations (34-XX) 22 Quantum theory (81-XX) 22 Relativity and gravitational theory (83-XX) 10 Operator theory (47-XX) 9 Integral transforms, operational calculus (44-XX) 9 Differential geometry (53-XX) 8 Optics, electromagnetic theory (78-XX) 7 Integral equations (45-XX) 7 Mathematics education (97-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Sequences, series, summability (40-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 997 times in 519 Documents Cited by ▼ Year ▼ On the \(\psi\)-Hilfer fractional derivative. Zbl 1470.26015Vanterler da C. Sousa, J.; de Oliveira, E. Capelas 110 2018 On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator. Zbl 1398.34023Sousa, J. Vanterler da C.; de Oliveira, E. Capelas 67 2018 Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation. Zbl 1475.45020Vanterler da C. Sousa, J.; de Oliveira, E. Capelas 55 2018 A review of definitions for fractional derivatives and integral. Zbl 1407.26013de Oliveira, Edmundo Capelas; Tenreiro Machado, José António 52 2014 A Gronwall inequality and the Cauchy-type problem by means of \(\psi\)-Hilfer operator. Zbl 1427.34017Sousa, José Vanterler Da Costa; de Oliveira, Edmundo Capelas 50 2019 Hilfer-Katugampola fractional derivatives. Zbl 1401.26014Oliveira, D. S.; de Oliveira, E. Capelas 48 2018 Stability of \(\psi\)-Hilfer impulsive fractional differential equations. Zbl 1408.34006da C. Sousa, J. Vanterler; Kucche, Kishor D.; de Oliveira, E. Capelas 47 2019 Leibniz type rule: \(\psi\)-Hilfer fractional operator. Zbl 1477.26012Vanterler da C. Sousa, J.; de Oliveira, E. Capelas 45 2019 Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations. Zbl 1401.45011de Oliveira, E. Capelas; Sousa, J. Vanterler da C. 40 2018 The fractional Schrödinger equation for delta potentials. Zbl 1314.81082de Oliveira, Edmundo Capelas; Costa, Felix Silva; Vaz, Jayme 33 2010 A review of definitions of fractional derivatives and other operators. Zbl 1452.26008Sales Teodoro, G.; Tenreiro Machado, J. A.; de Oliveira, E. Capelas 26 2019 A new truncated \(M\)-fractional derivative type unifying some fractional derivative types with classical properties. Zbl 1399.26013Vanterler da C. Sousa, J.; de Oliveira, E. Capelas 20 2018 Tunneling in fractional quantum mechanics. Zbl 1215.81115de Oliveira, E. Capelas; Vaz, Jayme jun. 20 2011 Fractional models of anomalous relaxation based on the Kilbas and Saigo function. Zbl 1307.34007de Oliveira, Edmundo Capelas; Mainardi, Francesco; Vaz, Jayme jun. 19 2014 Mittag-Leffler functions and the truncated \(\mathcal {V}\)-fractional derivative. Zbl 1381.26007Sousa, J. Vanterler da C.; de Oliveira, E. Capelas 18 2017 The many faces of Maxwell, Dirac and Einstein equations. A Clifford bundle approach. Zbl 1124.83002Rodrigues, Waldyr A. jun.; de Oliveira, Edmundo Capelas 18 2007 Differentiation to fractional orders and the fractional telegraph equation. Zbl 1153.81330Figueiredo Camargo, R.; Chiacchio, Ary O.; de Oliveira, E. Capelas 17 2008 On the existence and stability for noninstantaneous impulsive fractional integrodifferential equation. Zbl 1474.45085da Costa Sousa, José Vanterler; Oliveira, Daniela dos Santos; de Oliveira, Edmundo Capelas 16 2019 Two new fractional derivatives of variable order with non-singular kernel and fractional differential equation. Zbl 1401.26016Sousa, J. Vanterler da C.; de Oliveira, E. Capelas 14 2018 Stability of the fractional Volterra integro-differential equation by means of \({\psi}\)-Hilfer operator. Zbl 1428.45010Sousa, José Vanterler Da C.; Rodrigues, Fabio G.; de Oliveira, Edmundo Capelas 14 2019 Validation of a fractional model for erythrocyte sedimentation rate. Zbl 1438.92033da C. Sousa, J. Vanterler; dos Santos, Magun N. N.; Magna, L. A.; de Oliveira, E. Capelas 14 2018 Covariant, algebraic, and operator spinors. Zbl 0699.53019Figueiredo, V. L.; de Oliveira, E. Capelas; Rodrigues, Waldyr A. jun. 14 1990 On the generalized Mittag-Leffler function and its application in a fractional telegraph equation. Zbl 1245.33020Figueiredo Camargo, Rubens; de Oliveira, Edmundo Capelas; Vaz, Jayme jun. 14 2012 Fractional calculus and the ESR test. Zbl 1427.35313da C. Sousa, J. Vanterler; de Oliveira, E. Capelas; Magna, L. A. 14 2017 On the \(\Psi \)-fractional integral and applications. Zbl 1463.26016Vanterler da C. Sousa, J.; de Oliveira, E. Capelas 13 2019 On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator. Zbl 1373.82056Figueiredo Camargo, R.; de Oliveira, E. Capelas; Vaz, J. jun. 13 2009 On the Ulam-Hyers stabilities of the solutions of \({\psi}\)-Hilfer fractional differential equation with abstract Volterra operator. Zbl 1423.34089Sousa, José Vanterler Da C.; Kucche, Kishor D.; de Oliveira, Edmundo Capelas 12 2019 On some fractional Green’s functions. Zbl 1215.35015Camargo, R. Figueiredo; Charnet, R.; de Oliveira, E. Capelas 12 2009 Similarity solution to fractional nonlinear space-time diffusion-wave equation. Zbl 06423086Costa, F. Silva; Marão, J. A. P. F.; Soares, J. C. Alves; de Oliveira, E. Capelas 12 2015 Theorem for series in three-parameter Mittag-Leffler function. Zbl 1197.26008Soubhia, Ana L.; Camargo, Rubens F.; de Oliveira, Edmundo C.; Vaz, Jayme jun. 11 2010 Solution of the fractional Langevin equation and the Mittag-Leffler functions. Zbl 1216.82028Camargo, R. Figueiredo; Chiacchio, Ary O.; Charnet, R.; de Oliveira, E. Capelas 11 2009 \(\psi\)-Hilfer pseudo-fractional operator: new results about fractional calculus. Zbl 1463.26015Vanterler da Costa Sousa, J.; Frederico, Gastão S. F.; de Oliveira, Edmundo Capelas 10 2020 On the fractional functional differential equation with abstract Volterra operator. Zbl 1436.34069Sousa, J. Vanterler da C.; de Oliveira, E. Capelas; Kucche, Kishor D. 10 2019 Fractional order pseudoparabolic partial differential equation: Ulam-Hyers stability. Zbl 1415.35284Sousa, J. Vanterler da C.; de Oliveira, E. Capelas 9 2019 Dirac and Maxwell equations in the Clifford and spin-Clifford bundles. Zbl 0699.53020Rodrigues, Waldyr A. jun.; de Oliveira, E. Capelas 8 1990 Dotted and undotted algebraic spinor fields in general relativity. Zbl 1061.83045de Oliveira, E. Capelas; Rodrigues, W. A. jun. 7 2004 The many faces of Maxwell, Dirac and Einstein equations. A Clifford bundle approach. 2nd edition. Zbl 1345.83002Rodrigues, Waldyr A. jun.; de Oliveira, Edmundo Capelas 7 2016 The Minkowski’s inequality by means of a generalized fractional integral. Zbl 1428.26030Vanterler da C. Sousa, J.; de Oliveira, E. Capelas 6 2018 Fractional calculus via Laplace transform and its application in relaxation processes. Zbl 1457.76153de Oliveira, E. Capelas; Jarosz, S.; Vaz, J. jun. 5 2019 Elko spinor fields and massive magnetic like monopoles. Zbl 1439.81054de Oliveira, E. Capelas; Rodrigues, W. A. jun.; Vaz, J. jun. 5 2014 On the solution of homogeneous generalized wave equation. Zbl 0779.35107de Oliveira, E. Capelas 4 1992 Solved exercises in fractional calculus. Zbl 1416.26001de Oliveira, Edmundo Capelas 4 2019 Clifford valued differential forms, and some issues in gravitation, electromagnetism and “unified” theories. Zbl 1065.83053Rodrigues, W. A. jun.; de Oliveira, E. Capelas 4 2004 The generalized wave equation revisited. Zbl 0900.35214Ducati, G. C.; de Oliveira, E. Capelas 4 1995 Clifford algebras and the hidden geometrical nature of spinors. Zbl 0774.53008Figueiredo, V. L.; de Oliveira, E. C.; Rodrigues, Waldyr A. jun. 3 1990 Superluminal electromagnetic waves in free space. Zbl 0921.53038de Oliveira, E. Capelas; Rodrigues, W. A. jun. 3 1998 Klein-Gordon and Dirac equations in de Sitter space-time. Zbl 0932.83020Notte Cuello, E. A.; de Oliveira, E. Capelas 3 1999 On a sum with a three-parameter Mittag-Leffler function. Zbl 1350.33038de Oliveira, D. S.; de Oliveira, E. Capelas; Deif, Sarah 3 2016 Solutions for a non-Markovian diffusion equation. Zbl 1238.82022Lenzi, E. K.; Evangelista, L. R.; Lenzi, M. K.; Ribeiro, H. V.; de Oliveira, E. C. 3 2010 On the fractional Harry Dym equation. Zbl 1402.35296Costa, Felix S.; Soares, Junior C. A.; Plata, Adrian R. G.; de Oliveira, Edmundo C. 2 2018 The second-order Klein-Gordon field equation. Zbl 1084.81027Gomes, D.; de Oliveira, E. Capelas 2 2004 Thoughtful comments on ‘Bessel beams and signal propagation’. Zbl 0977.78007de Oliveira, E. Capelas; Rodrigues, W. A.; Thober, D. S.; Xavier, A. L. 2 2001 Finite energy superluminal solutions of Maxwell equations. Zbl 0977.78001de Oliveira, E. Capelas; Rodrigues, W. A. 2 2001 AdS geometry, projective embedded coordinates and associated isometry groups. Zbl 1113.53047da Rocha, R.; de Oliveira, E. Capelas 2 2006 One-sided and two-sided Green’s functions. Zbl 1291.34054de Figueiredo Camargo, Rubens; Chiacchio, Ary Orozimbo; de Oliveira, Edmundo Capelas 2 2013 Slowing-down of neutrons: a fractional model. Zbl 1329.82150Silva Costa, Felix; Contharteze Grigoletto, Eliana; Vaz, J. jun.; de Oliveira, E. Capelas 2 2014 Fractional wave-diffusion equation with periodic conditions. Zbl 1278.35260Costa, F. S.; de Oliveira, E. Capelas 2 2012 The \(\psi\)-Hilfer fractional calculus of variable order and its applications. Zbl 1476.26004Vanterler da C. Sousa, J.; Machado, J. A. Tenreiro; de Oliveira, E. Capelas 2 2020 Grüss-type inequalities by means of generalized fractional integrals. Zbl 1429.26039Sousa, J. Vanterler da C.; Oliveira, D. S.; de Oliveira, E. Capelas 2 2019 On a Caputo-type fractional derivative. Zbl 1414.26018Oliveira, Daniela S.; de Oliveira, Edmundo Capelas 1 2018 A new approach for the Jeffreys-Wentzel-Kramers-Brillouin theory. Zbl 0824.39002Monaco, R. L.; de Oliveira, E. Capelas 1 1994 The generating functions for \(E_ n^ 1(\rho)\) polynomials. Zbl 0880.34006Gomes, D.; de Oliveira, E. Capelas 1 1997 Generalized Laplace equation for a vector potential. Zbl 0883.35119Notte Cuello, E. A.; de Oliveira, E. Capelas 1 1996 On a particular case of series. Zbl 1474.97028de Oliveira, E. Capelas 1 2008 Addition theorem for Mittag-Leffler functions. Zbl 1208.33021Camargo, R. F.; Chiacchio, A. O.; de Oliveira, E. Capelas 1 2009 On sums of numerical series and Fourier series. Zbl 1474.97030Germano Pavão, H.; de Oliveira, E. Capelas 1 2008 The Casimir operator of \(\mathrm{SO}(1,2)\) and the Pöschl-Teller potential: an AdS approach. Zbl 1326.83043da Rocha, R.; de Oliveira, E. Capelas 1 2005 The symmetrical top. Zbl 0718.35079de Oliveira, E. Capelas 1 1990 Pseudo-fractional differential equations and generalized \(g\)-Laplace transform. Zbl 1476.34017da C. Sousa, J. Vanterler; Camargo, Rubens F.; de Oliveira, E. Capelas; Frederico, Gastáo S. F. 1 2021 Pseudo-fractional differential equations and generalized \(g\)-Laplace transform. Zbl 1476.34017da C. Sousa, J. Vanterler; Camargo, Rubens F.; de Oliveira, E. Capelas; Frederico, Gastáo S. F. 1 2021 \(\psi\)-Hilfer pseudo-fractional operator: new results about fractional calculus. Zbl 1463.26015Vanterler da Costa Sousa, J.; Frederico, Gastão S. F.; de Oliveira, Edmundo Capelas 10 2020 The \(\psi\)-Hilfer fractional calculus of variable order and its applications. Zbl 1476.26004Vanterler da C. Sousa, J.; Machado, J. A. Tenreiro; de Oliveira, E. Capelas 2 2020 A Gronwall inequality and the Cauchy-type problem by means of \(\psi\)-Hilfer operator. Zbl 1427.34017Sousa, José Vanterler Da Costa; de Oliveira, Edmundo Capelas 50 2019 Stability of \(\psi\)-Hilfer impulsive fractional differential equations. Zbl 1408.34006da C. Sousa, J. Vanterler; Kucche, Kishor D.; de Oliveira, E. Capelas 47 2019 Leibniz type rule: \(\psi\)-Hilfer fractional operator. Zbl 1477.26012Vanterler da C. Sousa, J.; de Oliveira, E. Capelas 45 2019 A review of definitions of fractional derivatives and other operators. Zbl 1452.26008Sales Teodoro, G.; Tenreiro Machado, J. A.; de Oliveira, E. Capelas 26 2019 On the existence and stability for noninstantaneous impulsive fractional integrodifferential equation. Zbl 1474.45085da Costa Sousa, José Vanterler; Oliveira, Daniela dos Santos; de Oliveira, Edmundo Capelas 16 2019 Stability of the fractional Volterra integro-differential equation by means of \({\psi}\)-Hilfer operator. Zbl 1428.45010Sousa, José Vanterler Da C.; Rodrigues, Fabio G.; de Oliveira, Edmundo Capelas 14 2019 On the \(\Psi \)-fractional integral and applications. Zbl 1463.26016Vanterler da C. Sousa, J.; de Oliveira, E. Capelas 13 2019 On the Ulam-Hyers stabilities of the solutions of \({\psi}\)-Hilfer fractional differential equation with abstract Volterra operator. Zbl 1423.34089Sousa, José Vanterler Da C.; Kucche, Kishor D.; de Oliveira, Edmundo Capelas 12 2019 On the fractional functional differential equation with abstract Volterra operator. Zbl 1436.34069Sousa, J. Vanterler da C.; de Oliveira, E. Capelas; Kucche, Kishor D. 10 2019 Fractional order pseudoparabolic partial differential equation: Ulam-Hyers stability. Zbl 1415.35284Sousa, J. Vanterler da C.; de Oliveira, E. Capelas 9 2019 Fractional calculus via Laplace transform and its application in relaxation processes. Zbl 1457.76153de Oliveira, E. Capelas; Jarosz, S.; Vaz, J. jun. 5 2019 Solved exercises in fractional calculus. Zbl 1416.26001de Oliveira, Edmundo Capelas 4 2019 Grüss-type inequalities by means of generalized fractional integrals. Zbl 1429.26039Sousa, J. Vanterler da C.; Oliveira, D. S.; de Oliveira, E. Capelas 2 2019 On the \(\psi\)-Hilfer fractional derivative. Zbl 1470.26015Vanterler da C. Sousa, J.; de Oliveira, E. Capelas 110 2018 On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator. Zbl 1398.34023Sousa, J. Vanterler da C.; de Oliveira, E. Capelas 67 2018 Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation. Zbl 1475.45020Vanterler da C. Sousa, J.; de Oliveira, E. Capelas 55 2018 Hilfer-Katugampola fractional derivatives. Zbl 1401.26014Oliveira, D. S.; de Oliveira, E. Capelas 48 2018 Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations. Zbl 1401.45011de Oliveira, E. Capelas; Sousa, J. Vanterler da C. 40 2018 A new truncated \(M\)-fractional derivative type unifying some fractional derivative types with classical properties. Zbl 1399.26013Vanterler da C. Sousa, J.; de Oliveira, E. Capelas 20 2018 Two new fractional derivatives of variable order with non-singular kernel and fractional differential equation. Zbl 1401.26016Sousa, J. Vanterler da C.; de Oliveira, E. Capelas 14 2018 Validation of a fractional model for erythrocyte sedimentation rate. Zbl 1438.92033da C. Sousa, J. Vanterler; dos Santos, Magun N. N.; Magna, L. A.; de Oliveira, E. Capelas 14 2018 The Minkowski’s inequality by means of a generalized fractional integral. Zbl 1428.26030Vanterler da C. Sousa, J.; de Oliveira, E. Capelas 6 2018 On the fractional Harry Dym equation. Zbl 1402.35296Costa, Felix S.; Soares, Junior C. A.; Plata, Adrian R. G.; de Oliveira, Edmundo C. 2 2018 On a Caputo-type fractional derivative. Zbl 1414.26018Oliveira, Daniela S.; de Oliveira, Edmundo Capelas 1 2018 Mittag-Leffler functions and the truncated \(\mathcal {V}\)-fractional derivative. Zbl 1381.26007Sousa, J. Vanterler da C.; de Oliveira, E. Capelas 18 2017 Fractional calculus and the ESR test. Zbl 1427.35313da C. Sousa, J. Vanterler; de Oliveira, E. Capelas; Magna, L. A. 14 2017 The many faces of Maxwell, Dirac and Einstein equations. A Clifford bundle approach. 2nd edition. Zbl 1345.83002Rodrigues, Waldyr A. jun.; de Oliveira, Edmundo Capelas 7 2016 On a sum with a three-parameter Mittag-Leffler function. Zbl 1350.33038de Oliveira, D. S.; de Oliveira, E. Capelas; Deif, Sarah 3 2016 Similarity solution to fractional nonlinear space-time diffusion-wave equation. Zbl 06423086Costa, F. Silva; Marão, J. A. P. F.; Soares, J. C. Alves; de Oliveira, E. Capelas 12 2015 A review of definitions for fractional derivatives and integral. Zbl 1407.26013de Oliveira, Edmundo Capelas; Tenreiro Machado, José António 52 2014 Fractional models of anomalous relaxation based on the Kilbas and Saigo function. Zbl 1307.34007de Oliveira, Edmundo Capelas; Mainardi, Francesco; Vaz, Jayme jun. 19 2014 Elko spinor fields and massive magnetic like monopoles. Zbl 1439.81054de Oliveira, E. Capelas; Rodrigues, W. A. jun.; Vaz, J. jun. 5 2014 Slowing-down of neutrons: a fractional model. Zbl 1329.82150Silva Costa, Felix; Contharteze Grigoletto, Eliana; Vaz, J. jun.; de Oliveira, E. Capelas 2 2014 One-sided and two-sided Green’s functions. Zbl 1291.34054de Figueiredo Camargo, Rubens; Chiacchio, Ary Orozimbo; de Oliveira, Edmundo Capelas 2 2013 On the generalized Mittag-Leffler function and its application in a fractional telegraph equation. Zbl 1245.33020Figueiredo Camargo, Rubens; de Oliveira, Edmundo Capelas; Vaz, Jayme jun. 14 2012 Fractional wave-diffusion equation with periodic conditions. Zbl 1278.35260Costa, F. S.; de Oliveira, E. Capelas 2 2012 Tunneling in fractional quantum mechanics. Zbl 1215.81115de Oliveira, E. Capelas; Vaz, Jayme jun. 20 2011 The fractional Schrödinger equation for delta potentials. Zbl 1314.81082de Oliveira, Edmundo Capelas; Costa, Felix Silva; Vaz, Jayme 33 2010 Theorem for series in three-parameter Mittag-Leffler function. Zbl 1197.26008Soubhia, Ana L.; Camargo, Rubens F.; de Oliveira, Edmundo C.; Vaz, Jayme jun. 11 2010 Solutions for a non-Markovian diffusion equation. Zbl 1238.82022Lenzi, E. K.; Evangelista, L. R.; Lenzi, M. K.; Ribeiro, H. V.; de Oliveira, E. C. 3 2010 On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator. Zbl 1373.82056Figueiredo Camargo, R.; de Oliveira, E. Capelas; Vaz, J. jun. 13 2009 On some fractional Green’s functions. Zbl 1215.35015Camargo, R. Figueiredo; Charnet, R.; de Oliveira, E. Capelas 12 2009 Solution of the fractional Langevin equation and the Mittag-Leffler functions. Zbl 1216.82028Camargo, R. Figueiredo; Chiacchio, Ary O.; Charnet, R.; de Oliveira, E. Capelas 11 2009 Addition theorem for Mittag-Leffler functions. Zbl 1208.33021Camargo, R. F.; Chiacchio, A. O.; de Oliveira, E. Capelas 1 2009 Differentiation to fractional orders and the fractional telegraph equation. Zbl 1153.81330Figueiredo Camargo, R.; Chiacchio, Ary O.; de Oliveira, E. Capelas 17 2008 On a particular case of series. Zbl 1474.97028de Oliveira, E. Capelas 1 2008 On sums of numerical series and Fourier series. Zbl 1474.97030Germano Pavão, H.; de Oliveira, E. Capelas 1 2008 The many faces of Maxwell, Dirac and Einstein equations. A Clifford bundle approach. Zbl 1124.83002Rodrigues, Waldyr A. jun.; de Oliveira, Edmundo Capelas 18 2007 AdS geometry, projective embedded coordinates and associated isometry groups. Zbl 1113.53047da Rocha, R.; de Oliveira, E. Capelas 2 2006 The Casimir operator of \(\mathrm{SO}(1,2)\) and the Pöschl-Teller potential: an AdS approach. Zbl 1326.83043da Rocha, R.; de Oliveira, E. Capelas 1 2005 Dotted and undotted algebraic spinor fields in general relativity. Zbl 1061.83045de Oliveira, E. Capelas; Rodrigues, W. A. jun. 7 2004 Clifford valued differential forms, and some issues in gravitation, electromagnetism and “unified” theories. Zbl 1065.83053Rodrigues, W. A. jun.; de Oliveira, E. Capelas 4 2004 The second-order Klein-Gordon field equation. Zbl 1084.81027Gomes, D.; de Oliveira, E. Capelas 2 2004 Thoughtful comments on ‘Bessel beams and signal propagation’. Zbl 0977.78007de Oliveira, E. Capelas; Rodrigues, W. A.; Thober, D. S.; Xavier, A. L. 2 2001 Finite energy superluminal solutions of Maxwell equations. Zbl 0977.78001de Oliveira, E. Capelas; Rodrigues, W. A. 2 2001 Klein-Gordon and Dirac equations in de Sitter space-time. Zbl 0932.83020Notte Cuello, E. A.; de Oliveira, E. Capelas 3 1999 Superluminal electromagnetic waves in free space. Zbl 0921.53038de Oliveira, E. Capelas; Rodrigues, W. A. jun. 3 1998 The generating functions for \(E_ n^ 1(\rho)\) polynomials. Zbl 0880.34006Gomes, D.; de Oliveira, E. Capelas 1 1997 Generalized Laplace equation for a vector potential. Zbl 0883.35119Notte Cuello, E. A.; de Oliveira, E. Capelas 1 1996 The generalized wave equation revisited. Zbl 0900.35214Ducati, G. C.; de Oliveira, E. Capelas 4 1995 A new approach for the Jeffreys-Wentzel-Kramers-Brillouin theory. Zbl 0824.39002Monaco, R. L.; de Oliveira, E. Capelas 1 1994 On the solution of homogeneous generalized wave equation. Zbl 0779.35107de Oliveira, E. Capelas 4 1992 Covariant, algebraic, and operator spinors. Zbl 0699.53019Figueiredo, V. L.; de Oliveira, E. Capelas; Rodrigues, Waldyr A. jun. 14 1990 Dirac and Maxwell equations in the Clifford and spin-Clifford bundles. Zbl 0699.53020Rodrigues, Waldyr A. jun.; de Oliveira, E. Capelas 8 1990 Clifford algebras and the hidden geometrical nature of spinors. Zbl 0774.53008Figueiredo, V. L.; de Oliveira, E. C.; Rodrigues, Waldyr A. jun. 3 1990 The symmetrical top. Zbl 0718.35079de Oliveira, E. Capelas 1 1990 all cited Publications top 5 cited Publications all top 5 Cited by 770 Authors 64 de Oliveira, Edmundo Capelas 36 Vanterler da Costa Sousa, José 26 Rodrigues, Waldyr Alves jun. 23 Abdo, Mohammed Salem 16 Abdeljawad, Thabet 16 Benchohra, Mouffak 16 Vaz, Jayme jun. 13 Jarad, Fahd 13 Panchal, Satish Kushaba 11 Shah, Kamal 10 Kucche, Kishor D. 10 Machado, José António Tenreiro 8 Băleanu, Dumitru I. 8 Kaminski Lenzi, Ervin 8 Ntouyas, Sotiris K. 8 Tariboon, Jessada 7 Almalahi, Mohammed A. 7 Frederico, Gastão S. F. 7 Harikrishnan, Sugumaran 7 N’Guérékata, Gaston Mandata 7 Notte-Cuello, Eduardo Alfonso 7 Zada, Akbar 6 Costa, Félix Silva 6 da Rocha, Roldão Jun. 6 Pachpatte, Deepak B. 6 Rezapour, Shahram 6 Sandev, Trifce 6 Sooppy Nisar, Kottakkaran 6 Torres Ledesma, César Enrique 6 Vivek, Devaraj 5 Ahmed, Idris 5 Ali, Saeed M. 5 Bouriah, Soufyane 5 Chu, Yuming 5 Etemad, Sina 5 Fernandez, Arran 5 Kanagarajan, Kuppusamy 5 Karapınar, Erdal 5 Lazreg, Jamal Eddine 5 Luo, Danfeng 5 Luo, Zhiguo 5 Malinowska, Agnieszka Barbara 5 Nguyen Huy Tuan 5 Salim, Abdelkrim 5 Wahash, Hanan Abdulrahman 4 Borisut, Piyachat 4 Dong, Jianping 4 Elsayed, Elsayed Mohammed 4 Garra, Roberto 4 Garrappa, Roberto 4 Hamid, Muhammad 4 Haq, Rizwan Ul 4 Kumam, Poom 4 Nieto Roig, Juan Jose 4 Odzijewicz, Tatiana 4 Oliveira, Daniela S. 4 Rahman, Gauhar 4 Souid, Mohammed Said 4 Tomovski, Živorad 4 Ur Rehman, Mujeeb 4 Usman, Muhammad 4 Wainer, Samuel Augusto 4 Zhang, Shuqin 3 Acay, Bahar 3 Afshari, Hojjat 3 Almeida, Ricardo 3 Alzabut, Jehad O. 3 Baitiche, Zidane 3 Baş, Erdal 3 da Silva, Luciano R. 3 de Figueiredo Camargo, Rubens 3 Derbazi, Choukri 3 Esguerra, Jose Perico H. 3 Evangelista, Luiz Roberto 3 Fahad, Hafiz Muhammad 3 Guida, Karim 3 Hilal, Khalid 3 Hussain, Azhar 3 Ibnelazyz, Lahcen 3 Khan, Aziz 3 Magna, L. A. 3 Mahmudov, Nazim Idrisoglu 3 Mainardi, Francesco 3 Mali, Ashwini D. 3 Michelangeli, Alessandro 3 Ngo Van Hoa 3 O’Regan, Donal 3 Ozarslan, Mehmet Ali 3 Ozarslan, Ramazan 3 Polito, Federico 3 Popolizio, Marina 3 Rashid, Saima 3 Ravichandran, Chokkalingam 3 Ribeiro, Haroldo V. 3 Scandone, Raffaele 3 Sitthithakerngkiet, Kanokwan 3 Srivastava, Hari Mohan 3 Sudsutad, Weerawat 3 Tatar, Nasser-eddine 3 Torres, Delfim Fernando Marado ...and 670 more Authors all top 5 Cited in 162 Serials 37 Advances in Difference Equations 31 Journal of Mathematical Physics 31 Computational and Applied Mathematics 24 AIMS Mathematics 18 Fractional Calculus & Applied Analysis 16 Advances in Applied Clifford Algebras 15 International Journal of Theoretical Physics 14 Journal of Function Spaces 11 Applied Mathematics and Computation 10 Chaos, Solitons and Fractals 9 Fractals 9 Boundary Value Problems 8 International Journal of Mathematical Education in Science and Technology 8 Advances in Mathematical Physics 7 Reports on Mathematical Physics 6 Applied Mathematics Letters 6 Mathematical Problems in Engineering 6 Communications in Nonlinear Science and Numerical Simulation 5 Results in Mathematics 5 Applied Numerical Mathematics 5 Mediterranean Journal of Mathematics 5 Journal of Pseudo-Differential Operators and Applications 4 Rocky Mountain Journal of Mathematics 4 Journal of Computational and Applied Mathematics 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Applied Mathematical Modelling 4 International Journal of Modern Physics D 4 Journal of Inequalities and Applications 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 Journal of Mathematical Modeling 3 Journal of Computational Physics 3 Mathematical Methods in the Applied Sciences 3 Physica A 3 Physics Letters. A 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 The Journal of Analysis 3 Integral Transforms and Special Functions 3 Bulletin of the Brazilian Mathematical Society. New Series 3 South East Asian Journal of Mathematics and Mathematical Sciences 3 Complex Variables and Elliptic Equations 3 Differential Equations and Applications 3 Annals of Functional Analysis 3 Palestine Journal of Mathematics 3 Evolution Equations and Control Theory 3 Nonautonomous Dynamical Systems 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Stochastic Analysis and Applications 2 Journal of Scientific Computing 2 Acta Mathematica Universitatis Comenianae. New Series 2 Cybernetics and Systems Analysis 2 Topological Methods in Nonlinear Analysis 2 Random Operators and Stochastic Equations 2 Complexity 2 Nonlinear Dynamics 2 Chaos 2 Mathematical Modelling and Analysis 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 International Journal of Geometric Methods in Modern Physics 2 Journal of Statistical Mechanics: Theory and Experiment 2 Iranian Journal of Fuzzy Systems 2 Cubo 2 Journal of Fixed Point Theory and Applications 2 Complex Analysis and Operator Theory 2 Journal of Physics A: Mathematical and Theoretical 2 Journal of Nonlinear Science and Applications 2 São Paulo Journal of Mathematical Sciences 2 Advances in Applied Mathematics and Mechanics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Arabian Journal of Mathematics 2 Journal of Mathematics 2 Journal of Applied Nonlinear Dynamics 2 Computational Methods for Differential Equations 2 Advances in Operator Theory 2 Electronic Research Archive 2 Results in Applied Mathematics 1 International Journal of Modern Physics A 1 Archives of Mechanics 1 Classical and Quantum Gravity 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Theoretical and Mathematical Physics 1 Journal of Geometry and Physics 1 Theory of Probability and its Applications 1 Acta Mathematica Vietnamica 1 Demonstratio Mathematica 1 Fuzzy Sets and Systems 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 The Journal of the Indian Mathematical Society. New Series 1 Mathematica Slovaca 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Bulletin of the Korean Mathematical Society 1 Mathematical and Computer Modelling 1 Applications of Mathematics 1 Numerical Algorithms ...and 62 more Serials all top 5 Cited in 49 Fields 234 Ordinary differential equations (34-XX) 199 Real functions (26-XX) 114 Partial differential equations (35-XX) 101 Operator theory (47-XX) 62 Special functions (33-XX) 58 Quantum theory (81-XX) 44 Integral equations (45-XX) 39 Numerical analysis (65-XX) 31 Relativity and gravitational theory (83-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 20 Probability theory and stochastic processes (60-XX) 18 Differential geometry (53-XX) 16 Difference and functional equations (39-XX) 15 Integral transforms, operational calculus (44-XX) 15 Statistical mechanics, structure of matter (82-XX) 15 Systems theory; control (93-XX) 13 Mechanics of deformable solids (74-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Optics, electromagnetic theory (78-XX) 10 Mechanics of particles and systems (70-XX) 10 Biology and other natural sciences (92-XX) 7 Functional analysis (46-XX) 7 Fluid mechanics (76-XX) 6 Functions of a complex variable (30-XX) 5 Number theory (11-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Algebraic geometry (14-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Information and communication theory, circuits (94-XX) 3 Measure and integration (28-XX) 3 Mathematics education (97-XX) 2 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 2 General topology (54-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year