Existence results of sequential fractional Caputo sum-difference boundary value problem

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dc.contributor.authorChanisara Metpattarahiran
dc.contributor.authorThitiporn Linitda
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.correspondenceT. Linitda; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thitiporn_lin@dusit.ac.th
dc.date.accessioned2025-03-10T07:35:06Z
dc.date.available2025-03-10T07:35:06Z
dc.date.issued2022
dc.description.abstractIn this article, we study the existence and uniqueness results for a sequential nonlinear Caputo fractional sum-difference equation with fractional difference boundary conditions by using the Banach contraction principle and SchaeferÕs fixed point theorem. Furthermore, we also show the existence of a positive solution. Our problem contains different orders and four fractional difference operators. Finally, we present an example to display the importance of these results. © 2022 the Author(s), licensee AIMS Press.
dc.identifier.citationAIMS Mathematics
dc.identifier.doi10.3934/math.2022829
dc.identifier.issn24736988
dc.identifier.scopus2-s2.0-85131901523
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4652
dc.languageEnglish
dc.publisherAmerican Institute of Mathematical Sciences
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectboundary value problem
dc.subjectexistence
dc.subjectfractional sum-difference equations
dc.subjectuniqueness
dc.titleExistence results of sequential fractional Caputo sum-difference boundary value problem
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85131901523&doi=10.3934%2fmath.2022829&partnerID=40&md5=d729e23a7e3813b4f49dd62caae0dacc
oaire.citation.endPage15137
oaire.citation.issue8
oaire.citation.startPage15120
oaire.citation.volume7
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