On stability for nonlinear implicit fractional differential equations

  • Mouffak Benchohra
  • Jamal E. Lazreg
Keywords: Initial value problem, Caputo's fractional derivative, implicit fractional differential equations, fractional integral, existence, Gronwall's lemma, fixed point, Ulam-Hyers stability, Ulam-Hyers-Rassias stability

Abstract

The purpose of this paper is to establish someĀ  types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order differential equation.
Published
2015-11-05
Section
Articoli