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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dc.contributor.authorJiraporn Reunsumrit
dc.contributor.authorPanjaiyan Karthikeyann
dc.contributor.authorSadhasivam Poornima
dc.contributor.authorKulandhaivel Karthikeyan
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.correspondenceK. Karthikeyan; Department of Mathematics and Centre for Research and Development, Kpr Institute of Engineering and Technology, Coimbatore, Tamil Nadu, 641407, India; email: karthi_phd2010@yahoo.co.in; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
dc.date.accessioned2025-03-10T07:35:07Z
dc.date.available2025-03-10T07:35:07Z
dc.date.issued2022
dc.description.abstractIn 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.
dc.identifier.citationMathematical Problems in Engineering
dc.identifier.doi10.1155/2022/5449680
dc.identifier.issn1024123X
dc.identifier.scopus2-s2.0-85144815925
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4661
dc.languageEnglish
dc.publisherHindawi Limited
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.titleAnalysis of Existence and Stability Results for Impulsive Fractional Integro-Differential Equations Involving the Atangana-Baleanu-Caputo Derivative under Integral Boundary Conditions
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85144815925&doi=10.1155%2f2022%2f5449680&partnerID=40&md5=84a312fc3ddcea0eb5f3c392a65be9b4
oaire.citation.volume2022
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