EXISTENCE RESULTS FOR ABC-FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-SEPARATED AND INTEGRAL TYPE OF BOUNDARY CONDITIONS

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dc.authoridMehmood, Nayyar/0000-0003-3661-5712
dc.contributor.authorMehmood, Nayyar
dc.contributor.authorAbbas, Ahsan
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:29:41Z
dc.date.available2024-12-24T19:29:41Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractThis paper presents a study on the existence theory of fractional differential equations involving Atangana-Baleanu (AB) derivative of order 1 < alpha <= 2, with non-separated and integral type boundary conditions. An existence result for the solutions of given AB-fractional differential equation is proved using Krasnoselskii's fixed point theorem, while the uniqueness of the solution is obtained using Banach contraction principle. Some conditions are proposed under which the given boundary value problem is Hyers-Ulam stable. Examples are given to validate our results.
dc.description.sponsorshipPrince Sultan University [RG-DES-2017-01-17]
dc.description.sponsorshipThe author T. Abdeljawad would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17.
dc.identifier.doi10.1142/S0218348X21400168
dc.identifier.issn0218-348X
dc.identifier.issn1793-6543
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85102520778
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1142/S0218348X21400168
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7207
dc.identifier.volume29
dc.identifier.wosWOS:000683456000035
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.subjectABC-Derivative
dc.subjectHigher Order AB Integral
dc.subjectBoundary Value Problem
dc.subjectIntegral Boundary Conditions
dc.subjectExistence and Uniqueness
dc.subjectKrasnoselskiia's Fixed Point Theorem
dc.subjectBanach Fixed Point Theorem
dc.titleEXISTENCE RESULTS FOR ABC-FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-SEPARATED AND INTEGRAL TYPE OF BOUNDARY CONDITIONS
dc.typeArticle

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