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Modified Atangana-Baleanu Fractional Differential Operators

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dc.contributor.author Ibrahim, Rabha W.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2024-04-25T07:35:32Z
dc.date.available 2024-04-25T07:35:32Z
dc.date.issued 2022
dc.identifier.citation Ibrahim, Rabha W.; Baleanu, Dumitru. (2022). "Modified Atangana-Baleanu Fractional Differential Operators", Proceedings of the Institute of Mathematics and Mechanics, Vol.48, No.SI, pp.56-67. tr_TR
dc.identifier.issn 24094986
dc.identifier.uri http://hdl.handle.net/20.500.12416/7950
dc.description.abstract Fractional differential operators are mostly investigated for functions of real variables. In this paper, we present two fractional differential operators for a class of normalized analytic functions in the open unit disk. The suggested operators are investigated according to concepts in geometric function theory, using the concepts of convex-ity and starlikeness. Therefore, we reformulate the new operators in the Ma-Minda class of analytic functions, in order to act on normalized analytic functions. Our method is based on subordination, superordination, and majorization theory. As an application, we employ these operators to generalize Bernoulli’s equation and a special class of Briot-Bouquet equations. The solution of the generalized equation is formulated by a hypergeometric function. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.30546/2409-4994.48.2022.5667 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Analytic Func-Tion tr_TR
dc.subject Fractional Calculus tr_TR
dc.subject Fractional Differential Operator tr_TR
dc.subject Open Unit Disk tr_TR
dc.subject Special Function tr_TR
dc.subject Subordination And Superordination tr_TR
dc.subject Univalent Function tr_TR
dc.title Modified Atangana-Baleanu Fractional Differential Operators tr_TR
dc.type article tr_TR
dc.relation.journal Proceedings of the Institute of Mathematics and Mechanics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 48 tr_TR
dc.identifier.issue SI tr_TR
dc.identifier.startpage 56 tr_TR
dc.identifier.endpage 67 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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