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

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dc.contributor.authorBourchi, Soumia
dc.contributor.authorJarad, Fahd
dc.contributor.authorAdjabi, Yassine
dc.contributor.authorThabet, Abdeljawad
dc.contributor.authorMahariq, Ibrahim
dc.date.accessioned2023-03-07T08:35:02Z
dc.date.available2023-03-07T08:35:02Z
dc.date.issued2023
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 resultsen_US
dc.identifier.issn25872648
dc.identifier.urihttps://doi.org/10.31197/atnaa.1147950
dc.identifier.urihttps://dergipark.org.tr/en/pub/atnaa/issue/73409/1147950
dc.identifier.urihttps://dspace.univ-boumerdes.dz/handle/123456789/11144
dc.language.isoenen_US
dc.publisherDergiParken_US
dc.relation.ispartofseriesAdvances in the Theory of Nonlinear Analysis and its Applications/ Vol.7, N°1(2023);pp. 1-28
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 derivativeen_US
dc.typeArticleen_US

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