E. Capelas de Oliveira

Best Publications

• On the ψ-Hilfer fractional derivative

  J. Vanterler da C. Sousa;E. Capelas de Oliveira

  819
  Citations

• A Review of Definitions for Fractional Derivatives and Integral

  Edmundo Capelas de Oliveira;José António Tenreiro Machado

  624
  Citations

• A review of definitions of fractional derivatives and other operators

  G. Sales Teodoro;J.A. Tenreiro Machado;E. Capelas de Oliveira

  485
  Citations

• A New Truncated M-Fractional Derivative Type Unifying Some Fractional Derivative Types with Classical Properties

  J. Vanterler da C. Sousa;E. Capelas de Oliveira

  196
  Citations

• Ulam–Hyers stability of a nonlinear fractional Volterra integro-differential equation

  J. Vanterler da C. Sousa;E. Capelas de Oliveira

  189
  Citations

• Leibniz type rule: ψ-Hilfer fractional operator

  J. Vanterler da C. Sousa;E. Capelas de Oliveira

  182
  Citations

• Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics

  E. Capelas de Oliveira;F. Mainardi;J. Vaz

  172
  Citations

• Hilfer–Katugampola fractional derivatives

  D. S. Oliveira;E. Capelas de Oliveira

  171
  Citations

• Ordinary Differential Equations

  Unknown

  167
  Citations

• On the Ulam–Hyers–Rassias stability for nonlinear fractional differential equations using the $$\psi $$ ψ -Hilfer operator

  J. Vanterler da C. Sousa;E. Capelas de Oliveira

  166
  Citations

• Stability of ψ-Hilfer impulsive fractional differential equations

  J. Vanterler da C. Sousa;Kishor D. Kucche;E. Capelas de Oliveira

  166
  Citations

• Ulam–Hyers–Rassias Stability for a Class of Fractional Integro-Differential Equations

  E. Capelas de Oliveira;J. Vanterler da C. Sousa

  157
  Citations

• A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator

  Unknown

  112
  Citations

• Differentiation to fractional orders and the fractional telegraph equation

  R. Figueiredo Camargo;Ary O. Chiacchio;E. Capelas de Oliveira

  97
  Citations

• Partial Differential Equations

  Unknown

  92
  Citations

• The Many Faces of Maxwell, Dirac and Einstein Equations: A Clifford Bundle Approach

  Unknown

  92
  Citations

• Covariant, algebraic, and operator spinors

  V. L. Figueiredo;E. Capelas de Oliveira;W. A. Rodrigues

  80
  Citations

• The fractional Schrödinger equation for delta potentials

  Unknown

  76
  Citations

• Fractional calculus and the ESR test

  J. Vanterler da C. Sousa;E. Capelas de Oliveira;L. A. Magna

  72
  Citations

• On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator

  R. Figueiredo Camargo;E. Capelas de Oliveira;J. Vaz

  66
  Citations