Analysis of Existence and Stability Results for Impulsive Fractional Integro-Differential Equations Involving the Atangana-Baleanu-Caputo Derivative under Integral Boundary Conditions
Date
2022
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Article
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Hindawi Limited
Journal Title
Analysis of Existence and Stability Results for Impulsive Fractional Integro-Differential Equations Involving the Atangana-Baleanu-Caputo Derivative under Integral Boundary Conditions
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Abstract
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. © 2022 Jiraporn Reunsumrit et al.
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Mathematical Problems in Engineering