On stability for nonlinear implicit fractional differential equations

Authors

  • 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 some  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.

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Published

2015-11-05

Issue

Vol. 70 No. 2 (2015)

Section

Articoli

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