On a Coupled Impulsive Fractional Integrodifferential System with Hadamard Derivatives

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, w...

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Bibliographic Details
Published inQualitative theory of dynamical systems Vol. 21; no. 1
Main Authors Alam, Mehboob, Zada, Akbar, Riaz, Usman
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.03.2022
Springer Nature B.V
Subjects
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Existence theorems
Fixed points (mathematics)
Functional analysis
Mathematics
Mathematics and Statistics
Stability analysis
Hadamard fractional derivative
34B37
Coupled system
Fractional integrodifferential equation
26A33
Ulam stability
Existence and uniqueness
34A08
39B82
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Summary: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.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-021-00535-0