Existence and Stability Results for Generalized Fractional Differential Equations

被引:0
作者
A. Ben Makhlouf
D. Boucenna
M. A. Hammami
机构
[1] Jouf University,Department of Mathematics, College of Sciences
[2] Faculty of Sciences of Sfax,Department of Mathematics
[3] Higher School for Professors of Technological Education,undefined
来源
Acta Mathematica Scientia | 2020年 / 40卷
关键词
nonlinear fractional differential equations; stability analysis; generalized fractional derivative; Krasnoselskii’s fixed point theorem; 26A33; 33E20; 34B20;
D O I
暂无
中图分类号
学科分类号
摘要
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.
引用
收藏
页码:141 / 154
页数:13
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