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On abstract Cauchy problems in the frame of a generalized Caputo type derivative

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dc.contributor.authorJarad, Fahd
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorAdjabi, Yassine
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorMahariq, Ibrahim
dc.contributor.authorID234808tr_TR
dc.date.accessioned2024-01-17T13:29:40Z
dc.date.available2024-01-17T13:29:40Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we consider a class of abstract Cauchy problems in the framework of a generalized Caputo type fractional. We discuss the existence and uniqueness of mild solutions to such a class of fractional differential equations by using properties found in the related fractional calculus, the theory of uniformly continuous semigroups of operators and the fixed point theorem. Moreover, we discuss the continuous dependence on parameters and Ulam stability of the mild solutions. At the end of this paper, we bring forth some examples to endorse the obtained results.en_US
dc.description.publishedMonth3
dc.identifier.citationBourchi, Soumia;...et.al. (2023). "On abstract Cauchy problems in the frame of a generalized Caputo type derivative", Advances in the Theory of Nonlinear Analysis and its Applications, Vol.7, No.1, pp.1-28.en_US
dc.identifier.doi10.31197/atnaa.1147950
dc.identifier.endpage28en_US
dc.identifier.issn25872648
dc.identifier.issue1en_US
dc.identifier.startpage1en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12416/6906
dc.identifier.volume7en_US
dc.language.isoenen_US
dc.relation.ispartofAdvances in the Theory of Nonlinear Analysis and its Applicationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAbstract Cauchy Problemen_US
dc.subjectCaputo Type Generalized Fractional Operatorsen_US
dc.subjectContinuous Dependence On Parametersen_US
dc.subjectExistenceen_US
dc.subjectFixed Point Theoremsen_US
dc.subjectMittag-Leffler Type Functionen_US
dc.subjectStabilityen_US
dc.subjectUniformly Continuous Semigroupsen_US
dc.subjectUniquenessen_US
dc.titleOn abstract Cauchy problems in the frame of a generalized Caputo type derivativetr_TR
dc.titleOn Abstract Cauchy Problems in the Frame of a Generalized Caputo Type Derivativeen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationc818455d-5734-4abd-8d29-9383dae37406
relation.isAuthorOfPublicationab09a09b-0017-4ffe-a8fe-b9b0499b2c01
relation.isAuthorOfPublication.latestForDiscoveryc818455d-5734-4abd-8d29-9383dae37406

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