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Existence and Stability Results for Generalized Fractional Differential Equations
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Existence and Stability Results for Generalized Fractional Differential Equations

A. Ben Makhlouf, D. Boucenna and M. A. Hammami
Acta mathematica scientia, Vol.40(1), pp.141-154
01/01/2020
DOI: https://doi.org/10.1007/s10473-020-0110-3

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, a sufficient conditions to guarantee the existence and stability of solutions for generalized nonlinear fractional differential equations of order alpha (1 < alpha < 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.

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