Existence and multiplicity of positive solutions to a system of fractional difference equations with parameters

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dc.contributor.authorPimchana Siricharuanun
dc.contributor.authorSaowaluck Chasreechai
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.accessioned2025-03-10T07:36:05Z
dc.date.available2025-03-10T07:36:05Z
dc.date.issued2020
dc.description.abstractWe consider a fractional difference-sum boundary problem for a system of fractional difference equations with parameters. Using the Banach fixed point theorem, we prove the existence and uniqueness of solutions. We also prove the existence of at least one and two solutions by using the KrasnoselskiiÕs fixed point theorem for a cone map. Finally, we give some examples to illustrate our results. © 2020, The Author(s).
dc.identifier.citationAdvances in Difference Equations
dc.identifier.doi10.1186/s13662-020-02904-6
dc.identifier.issn16871839
dc.identifier.scopus2-s2.0-85089920283
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4770
dc.languageEnglish
dc.publisherSpringer
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectCone
dc.subjectGreenÕs function
dc.subjectPositive solution
dc.subjectSystem of fractional difference equations
dc.titleExistence and multiplicity of positive solutions to a system of fractional difference equations with parameters
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85089920283&doi=10.1186%2fs13662-020-02904-6&partnerID=40&md5=33d7befd7903c13fc3ed060feef248d7
oaire.citation.issue1
oaire.citation.volume2020
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