A study on the existence results of boundary value problems of fractional relaxation integro-differential equations with impulsive and delay conditions in Banach spaces

Simple item page
dc.contributor.authorSaowaluck Chasreechai
dc.contributor.authorSadhasivam Poornima
dc.contributor.authorPanjaiyan Karthikeyann
dc.contributor.authorKulandhaivel Karthikeyan
dc.contributor.authorAnoop Kumar
dc.contributor.authorKirti Kaushik
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.correspondenceK. Karthikeyan; Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore, Tamil Nadu, 641407, India; email: karthiphd2010@yahoo.co.in; T. Sitthiwirattham; Research Group for Fractional Calculus Theory and Applications, Science and Technology Research Institute, King MongkutÕs University of Technology North Bangkok, Bangkok, 10800, Thailand; email: thanin.sit@dusit.ac.th
dc.date.accessioned2025-03-10T07:34:20Z
dc.date.available2025-03-10T07:34:20Z
dc.date.issued2024
dc.description.abstractThe aim of this paper was to provide systematic approaches to study the existence of results for the system fractional relaxation integro-differential equations. Applied problems require definitions of fractional derivatives, allowing the utilization of physically interpretable boundary conditions. Impulsive conditions serve as basic conditions to study the dynamic processes that are subject to sudden changes in their state. In the process, we converted the given fractional differential equations into an equivalent integral equation. We constructed appropriate mappings and employed the SchaeferÕs fixed-point theorem and the Banach fixed-point theorem to show the existence of a unique solution. We presented an example to show the applicability of our results. © 2024 the Author(s), licensee AIMS Press.
dc.identifier.citationAIMS Mathematics
dc.identifier.doi10.3934/math.2024563
dc.identifier.issn24736988
dc.identifier.scopus2-s2.0-85191697690
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4486
dc.languageEnglish
dc.publisherAmerican Institute of Mathematical Sciences
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectdelay
dc.subjectexistence
dc.subjectfixed point
dc.subjectfractional relaxation impulsive integro differential equations
dc.subjectLiouville-Caputo fractional derivative
dc.subjectRiemann-Liouville fractional derivative
dc.subjectuniqueness
dc.titleA study on the existence results of boundary value problems of fractional relaxation integro-differential equations with impulsive and delay conditions in Banach spaces
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85191697690&doi=10.3934%2fmath.2024563&partnerID=40&md5=62881086aa054f2e10b1057f6fc290c9
oaire.citation.endPage11485
oaire.citation.issue5
oaire.citation.startPage11468
oaire.citation.volume9
Files
Collections
SCOPUS 2024