On a Coupled Impulsive Fractional Integrodifferential System with Hadamard Derivatives

被引：0
|
作者：
Mehboob Alam
Akbar Zada
Usman Riaz
机构：
[1] University of Peshawar,Department of Mathematics
来源：
Qualitative Theory of Dynamical Systems | 2022年 / 21卷
关键词：
Hadamard fractional derivative; Fractional integrodifferential equation; Coupled system; Existence and uniqueness; Ulam stability; 26A33; 34A08; 34B37; 39B82;
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摘要：
The main intention of the present research study is focused on the analysis of coupled impulsive fractional integrodifferential system having Hadamard derivatives. With the help of fixed point theorem attributed to Krasnoselskii’s, we investigate desired existence and uniqueness results. Moreover, we present different kinds of stability such as Hyers–Ulam stability, generalized Hyers–Ulam stability, Hyers–Ulam–Rassias stability, and generalized Hyers–Ulam–Rassias stability using the classical technique of functional analysis. Next, an example is designed to examine our findings based on the procedures applied in the theorems.
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