Existence and Ulam stability for nonlinear implicit fractional differential equations with Hadamard derivative

Mouffak Benchohra; Jamal E. Lazreg

doi:10.24193/subbmath.2017.0003

Existence and Ulam stability for nonlinear implicit fractional differential equations with Hadamard derivative

Authors

Mouffak Benchohra University of Sidi Bel Abbes
Jamal E. Lazreg

DOI:

https://doi.org/10.24193/subbmath.2017.0003

Keywords:

Initial value problem, Hadamard'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 Hadamard fractional-order differential equation.

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Published

2017-03-04

Issue

Vol. 62 No. 1 (2017)

Section

Articles

License

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