Stability analysis of nonlinear Riemann-Liouville fractional differential equations

Sabah Yessaad Mokhtari; Kamel  Ali Khelil; Abdelouaheb Ardjouni; Adel  Lachouri

doi:10.5269/bspm.62981

Sabah Yessaad Mokhtari High School of Management Sciences Annaba
Kamel Ali Khelil High School of Management Sciences Annaba
Abdelouaheb Ardjouni University of Souk Ahras https://orcid.org/0000-0003-0216-1265
Adel Lachouri University of Annaba https://orcid.org/0000-0002-6269-8833

Abstract

In this paper, we give sufficient conditions to guarantee the asymptotic stability of the zero solution to a kind of nonlinear fractional differential equations with the Riemann Liouville fractional derivative of order α∈(n-1,n) by using Krasnoselskii's fixed point theorem and the Banach contraction mapping principle in a weighted Banach space. The results obtained here extend the work of Li and Kou [6].

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Author Biographies

Abdelouaheb Ardjouni, University of Souk Ahras

Department of Mathematics and Informatics

Adel Lachouri, University of Annaba

Department of Mathematics

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