EXISTENCE RESULTS FOR MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS INVOLVING ATANGANA-BALEANU DERIVATIVE

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dc.contributor.authorAbbas, Ahsan
dc.contributor.authorMehmood, Nayyar
dc.contributor.authorAkgul, Ali
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorAlqudah, Manar 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, the existence results for the solutions of the multi-term ABC-fractional differential boundary value problem (BVP) (delta(2)0(ABC)D(alpha+2) + delta( 1)0(ABC)D(alpha+1) + delta (0)0(ABC)D(alpha))x(t) = zeta(t,x(t))of order 0 < alpha < 1 with nonlocal boundary conditions have been derived by using Krasnoselskii's fixed point theorem. The uniqueness of the solution is obtained with the help of Banach contraction principle. Examples are provided to confirm our obtained results.
dc.description.sponsorshipPrincess Nourah Bint Abdulrahman University Researchers Supporting Project [PNURSP2023R14]
dc.description.sponsorshipThis work was funded by the Princess Nourah Bint Abdulrahman University Researchers Supporting Project No. PNURSP2023R14. The author Thabet Abdeljawad would like to thank Prince Sultan University for the support through the TAS research lab
dc.identifier.doi10.1142/S0218348X23400248
dc.identifier.issn0218-348X
dc.identifier.issn1793-6543
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85149914943
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1142/S0218348X23400248
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7214
dc.identifier.volume31
dc.identifier.wosWOS:000944485100004
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-Fractional BVP
dc.subjectExistence
dc.subjectUniqueness
dc.subjectKrasnoselskii's Fixed Point Theorem
dc.subjectBanach Contraction Principle
dc.titleEXISTENCE RESULTS FOR MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS INVOLVING ATANGANA-BALEANU DERIVATIVE
dc.typeArticle

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