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Modified Atangana-Baleanu Fractional Differential Operators

dc.contributor.authorIbrahim, Rabha W.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-04-25T07:35:32Z
dc.date.available2024-04-25T07:35:32Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractFractional 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.en_US
dc.identifier.citationIbrahim, 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.en_US
dc.identifier.doi10.30546/2409-4994.48.2022.5667
dc.identifier.endpage67en_US
dc.identifier.issn24094986
dc.identifier.issueSIen_US
dc.identifier.startpage56en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/7950
dc.identifier.volume48en_US
dc.language.isoenen_US
dc.relation.ispartofProceedings of the Institute of Mathematics and Mechanicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAnalytic Func-Tionen_US
dc.subjectFractional Calculusen_US
dc.subjectFractional Differential Operatoren_US
dc.subjectOpen Unit Disken_US
dc.subjectSpecial Functionen_US
dc.subjectSubordination And Superordinationen_US
dc.subjectUnivalent Functionen_US
dc.titleModified Atangana-Baleanu Fractional Differential Operatorstr_TR
dc.titleModified Atangana-Baleanu Fractional Differential Operatorsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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