A new study on the existence and stability to a system of coupled higher-order nonlinear BVP of hybrid FDEs under the p-Laplacian operator

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dc.contributor.authorAbdulwasea Alkhazzan
dc.contributor.authorWadhah Al-Sadi
dc.contributor.authorVaraporn Wattanakejorn
dc.contributor.authorHasib Khan
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.authorSina Etemad
dc.contributor.authorShahram Rezapour
dc.contributor.correspondenceT. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th; S. Rezapour; Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran; email: sh.rezapour@azaruniv.ac.ir
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 general system of fractional hybrid differential equations with a nonlinear _p-operator, and prove the existence of solution, uniqueness of solution and Hyers-Ulam stability. We use the Caputo fractional derivative in this system so that our system is more general and complex than other nonlinear systems studied before. To establish the results, Green functions are used to transform the considered hybrid boundary problem into a system of fractional integral equations. Then, with the help of the topological degree theorem, we derive some sufficient conditions that ensure the existence and uniqueness of solutions for the proposed system. Finally, an example is presented to show the validity and correctness of the obtained results. © 2022 the Author(s), licensee AIMS Press.
dc.identifier.citationAIMS Mathematics
dc.identifier.doi10.3934/math.2022782
dc.identifier.issn24736988
dc.identifier.scopus2-s2.0-85131004326
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4633
dc.languageEnglish
dc.publisherAmerican Institute of Mathematical Sciences
dc.rights.holderScopus
dc.subjectcoupled system
dc.subjectexistence of solution
dc.subjectGreen function
dc.subjectHyers-Ulam stability
dc.subjectthe Caputo fractional derivative
dc.titleA new study on the existence and stability to a system of coupled higher-order nonlinear BVP of hybrid FDEs under the p-Laplacian operator
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85131004326&doi=10.3934%2fmath.2022782&partnerID=40&md5=9f15a718f357a9c01c85e3c78b460511
oaire.citation.endPage14207
oaire.citation.issue8
oaire.citation.startPage14187
oaire.citation.volume7
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