EXISTENCE AND STABILITY RESULTS OF FRACTIONAL DIFFERENTIAL EQUATIONS MITTAG-LEFFLER KERNEL

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dc.authoridMehmood, Nayyar/0000-0003-3661-5712
dc.authoridAbdeljawad, Thabet/0000-0002-8889-3768
dc.contributor.authorAbbas, Ahsan
dc.contributor.authorMehmood, Nayyar
dc.contributor.authorAkgul, Ali
dc.contributor.authorAmacha, Inas
dc.contributor.authorAbdeljawad, Thabet
dc.date.accessioned2024-12-24T19:29:44Z
dc.date.available2024-12-24T19:29:44Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThis paper presents the following AB-Caputo fractional boundary value problem (ABC)(0)D(alpha)u(sigma) = G(sigma, u(sigma)), sigma is an element of[0, 1] with integral-type boundary conditions u(0) = 0 = u ''(0), gamma u(1) = lambda integral(1)(0) g(1)(kappa)u(kappa)d kappa, of order 2 < alpha <= 3. Schauder and Krasnoselskii's fixed point theorems are used to find existence results. Uniqueness is obtained via the Banach contraction principle. To investigate the stability of a given problem, Hyers-Ulam stability is discussed. An example is provided to validate our results.
dc.description.sponsorshipHigher Education Commission of Pakistan [15549/NRPU]
dc.description.sponsorshipThe author Abdeljawad would like to thank thePrince Sultan University for the support through the TAS research lab. The authors Mehmood and Abbas would like to acknowledge the Higher Education Commission of Pakistan for providing support under Project No. 15549/NRPU.
dc.identifier.doi10.1142/S0218348X24400413
dc.identifier.issn0218-348X
dc.identifier.issn1793-6543
dc.identifier.issue07N08
dc.identifier.scopus2-s2.0-85196944114
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1142/S0218348X24400413
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7223
dc.identifier.volume32
dc.identifier.wosWOS:001262725600002
dc.identifier.wosqualityN/A
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/closedAccess
dc.snmzKA_20241222
dc.subjectAB-Caputo Fractional BVP
dc.subjectExistence Results
dc.subjectSchauder Fixed Point Theorem
dc.subjectUniqueness Krasnoselskii's Fixed Point Theorem
dc.subjectBanach Contraction Principle and Stability
dc.titleEXISTENCE AND STABILITY RESULTS OF FRACTIONAL DIFFERENTIAL EQUATIONS MITTAG-LEFFLER KERNEL
dc.typeArticle

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