On a boundary value problem for fractional hahn integro-difference equations with four-point fractional integral boundary conditions

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dc.contributor.authorVaraporn Wattanakejorn
dc.contributor.authorSotiris K. Ntouyas
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.correspondenceT. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
dc.date.accessioned2025-03-10T07:35:06Z
dc.date.available2025-03-10T07:35:06Z
dc.date.issued2022
dc.description.abstractIn this paper, we study a boundary value problem consisting of Hahn integro-difference equation supplemented with four-point fractional Hahn integral boundary conditions. The novelty of this problem lies in the fact that it contains two fractional Hahn difference operators and three fractional Hahn integrals with different quantum numbers and orders. Firstly, we convert the given nonlinear problem into a fixed point problem, by considering a linear variant of the problem at hand. Once the fixed point operator is available, we make use the classical BanachÕs and SchauderÕs fixed point theorems to establish existence and uniqueness results. An example is also constructed to illustrate the main results. Several properties of fractional Hahn integral that will be used in our study are also discussed. © 2022 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0).
dc.identifier.citationAIMS Mathematics
dc.identifier.doi10.3934/math.2022040
dc.identifier.issn24736988
dc.identifier.scopus2-s2.0-85116975812
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4637
dc.languageEnglish
dc.publisherAmerican Institute of Mathematical Sciences
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectBoundary value problems
dc.subjectExistence
dc.subjectFractional Hahn difference
dc.subjectFractional Hahn integral
dc.titleOn a boundary value problem for fractional hahn integro-difference equations with four-point fractional integral boundary conditions
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85116975812&doi=10.3934%2fmath.2022040&partnerID=40&md5=467ee5f09505f833d9fe00d7d2d97f47
oaire.citation.endPage650
oaire.citation.issue1
oaire.citation.startPage632
oaire.citation.volume7
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