EXISTENCE AND STABILITY RESULTS FOR COUPLED SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING AB-CAPUTO DERIVATIVE

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dc.contributor.authorMehmood, Nayyar
dc.contributor.authorAbbas, Ahsan
dc.contributor.authorAkgul, Ali
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorAlqudah, Manara A.
dc.date.accessioned2024-12-24T19:29:42Z
dc.date.available2024-12-24T19:29:42Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, we use Krasnoselskii's fixed point theorem to find existence results for the solution of the following nonlinear fractional differential equations (FDEs) for a coupled system involving AB-Caputo fractional derivative ABC(0)D(alpha)??(l) = zeta(l,??(l),P(l)), 1 < alpha & <= 2, (SIC) AB( )C(0)D(sigma)P(l) = xi(l,??(l),P(l)), 1 < sigma <= 2,f or alll is an element of [0, 1], with boundary conditions (SIC) ??(0) = 0, lambda??'(eta) = gamma??'(1), P(0) = 0,lambda'(eta) = gamma'(1).We discuss uniqueness with the help of the Banach contraction principle. The criteria for Hyers-Ulam stability of given AB-Caputo fractional-coupled boundary value problem (BVP) is also discussed. Some examples are provided to validate our results. In Example 1, we find a unique and stable solution of AB-Caputo fractional-coupled BVP. In Example 2, the analysis of approximate and exact solutions with errors of nonlinear integral equations is elaborated with graphs.
dc.description.sponsorshipPrincess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia [PNURSP2023R14]; Prince Sultan University
dc.description.sponsorshipThe authors thank Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2023R14), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia. The author Thabet Abdeljawad would like to thank Prince Sultan University for the support through the TAS research lab.
dc.identifier.doi10.1142/S0218348X23400236
dc.identifier.issn0218-348X
dc.identifier.issn1793-6543
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85150725079
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1142/S0218348X23400236
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7213
dc.identifier.volume31
dc.identifier.wosWOS:000946360100002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofFractals-Complex Geometry Patterns and Scaling in Nature and Society
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectCoupled System
dc.subjectAB-Caputo Fractional BVP
dc.subjectExistence
dc.subjectUniqueness
dc.subjectKrasnoselskii's Fixed Point Theorem
dc.subjectBanach Contraction Principle
dc.subjectStability
dc.titleEXISTENCE AND STABILITY RESULTS FOR COUPLED SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING AB-CAPUTO DERIVATIVE
dc.typeArticle

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