Existence, uniqueness and controllability results of nonlinear neutral implicit ABC fractional integro-differential equations with delay and impulses

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dc.contributor.authorSivaranjani Ramasamy
dc.contributor.authorThangavelu Senthilprabu
dc.contributor.authorKulandhaivel Karthikeyan
dc.contributor.authorPalanisamy Geetha
dc.contributor.authorSaowaluck Chasreechai
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.correspondenceS. Ramasamy; Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore, Tamilnadu, 641 407, India; email: sivaranjanirphd@gmail.com; S. Chasreechai; Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand; email: saowaluck.c@sci.kmutnb.ac.th
dc.date.accessioned2025-07-07T18:16:38Z
dc.date.available2025-07-07T18:16:38Z
dc.date.issued2025
dc.description.abstractIn this article, the necessary and sufficient conditions for the existence and uniqueness of the mild solutions for nonlinear neutral implicit integro-differential equations of non-integer order 0 < α < 1 in the sense of ABC derivative with impulses, delay, and integro initial conditions were established. The existence results were derived using the semi-group theory, measures of non-compactness, and the fixed-point theory in the sense of Arzelà–Ascoli theorem and Schauder’s fixed-point theorem. We analyzed the controllability results of the proposed problem by incorporating the ideas of semi-group theory and fixed-point techniques. The Banach contraction principle was used to derive the uniqueness and controllability of the proposed problem. We provide an example to support the theoretical results. © 2025 the Author(s), licensee AIMS Press.
dc.identifier.citationAIMS Mathematics
dc.identifier.doi10.3934/MATH.2025200
dc.identifier.issn24736988
dc.identifier.scopus2-s2.0-105001676993
dc.identifier.urihttps://repository.dusit.ac.th/handle/123456789/7317
dc.languageEnglish
dc.publisherAmerican Institute of Mathematical Sciences
dc.rights.holderScopus
dc.subjectcontrollability
dc.subjectfractional derivative
dc.subjectimplicit neutral differential equations
dc.subjectsemi-group and fixed point theories
dc.titleExistence, uniqueness and controllability results of nonlinear neutral implicit ABC fractional integro-differential equations with delay and impulses
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-105001676993&doi=10.3934%2fMATH.2025200&partnerID=40&md5=a19f893cefd2b6f5713a926c52e326ca
oaire.citation.endPage4354
oaire.citation.issue2
oaire.citation.startPage4326
oaire.citation.volume10
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