Analysis of Existence and Stability Results for Impulsive Fractional Integro-Differential Equations Involving the Atangana–Baleanu–Caputo Derivative under Integral Boundary Conditions

In this study, we consider the existence results of solutions of impulsive Atangana–Baleanu–Caputo ABC fractional integro-differential equations with integral boundary conditions. Krasnoselskii’s fixed-point theorem and the Banach contraction principle are used to prove the existence and uniqueness...

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Bibliographic Details
Published in:Mathematical problems in engineering 2022-12, Vol.2022, p.1-18
Main Authors: Reunsumrit, Jiraporn, Karthikeyann, Panjaiyan, Poornima, Sadhasivam, Karthikeyan, Kulandhaivel, Sitthiwirattham, Thanin
Format: Article
Language:English
Subjects:
Boundary conditions
Control theory
Derivatives
Differential equations
Existence theorems
Fixed points (mathematics)
Hypotheses
Integrals
Investigations
Mathematical analysis
Stability analysis
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Summary:In this study, we consider the existence results of solutions of impulsive Atangana–Baleanu–Caputo ABC fractional integro-differential equations with integral boundary conditions. Krasnoselskii’s fixed-point theorem and the Banach contraction principle are used to prove the existence and uniqueness of results. Moreover, we also establish Hyers–Ulam stability for this problem. An example is also presented at the end.
ISSN:1024-123X
1563-5147
DOI:10.1155/2022/5449680