Articles

EXISTENCE AND STABILITY RESULTS FOR GENERALIZED FRACTIONAL DIFFERENTIAL EQUATIONS

  • A. BEN MAKHLOUF ,
  • D. BOUCENNA ,
  • M. A. HAMMAMI
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  • 1. Department of Mathematics, College of Sciences, Jouf University, Aljouf, Saudi Arabia;
    2. Department of Mathematics, Faculty of Sciences of Sfax, Route Soukra, BP 1171, 3000 Sfax, Tunisia 3. Higher School for Professors of Technological Education, Skikda, Algeria

Received date: 2018-10-31

  Revised date: 2019-02-04

  Online published: 2020-04-14

Abstract

In this paper, a sufficient conditions to guarantee the existence and stability of solutions for generalized nonlinear fractional differential equations of order α (1 < α < 2) are given. The main results are obtained by using Krasnoselskii's fixed point theorem in a weighted Banach space. Two examples are given to demonstrate the validity of the proposed results.

Cite this article

A. BEN MAKHLOUF , D. BOUCENNA , M. A. HAMMAMI . EXISTENCE AND STABILITY RESULTS FOR GENERALIZED FRACTIONAL DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia, Series B, 2020 , 40(1) : 141 -154 . DOI: 10.1007/s10473-020-0110-3

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