Existence and Stability Results for Impulsive Implicit Fractional Differential Equations with Delay and Riesz-Caputo Derivative

被引：3
|
作者：
Rahou, Wafaa [1 ]
Salim, Abdelkrim [1 ,2 ]
Lazreg, Jamal Eddine [1 ]
Benchohra, Mouffak [1 ]
机构：
[1] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria
[2] Hassiba Benbouali Univ Chlef, Fac Technol, POB 151, Chlef 02000, Algeria
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 03期
关键词：
Riesz-Caputo fractional derivative; implicit problem; existence; measure of noncompactness; fixed point; Ulam stability; impulses; finite delay;
D O I：
10.1007/s00009-023-02356-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish the existence and uniqueness results for a class of implicit fractional differential equations with finite delay and instantaneous impulses. The arguments are based on Banach contraction principle, Schaefer's and Darbo's fixed point theorems. We will also demonstrate that the given problem satisfies the Ulam stability. Some examples are included to show the validity of our results.
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页数：28
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