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Semilinear fractional evolution inclusion problem in the frame of a generalized Caputo operator

dc.contributor.authorLachouri, Adel
dc.contributor.authorArdjouni, Abdelouaheb
dc.contributor.authorJarad, Fahd
dc.contributor.authorAbdo, Mohammed S.
dc.contributor.authorID234808tr_TR
dc.date.accessioned2022-12-16T12:02:50Z
dc.date.available2022-12-16T12:02:50Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we study the existence of solutions to initial value problems for a nonlinear generalized Caputo fractional differential inclusion with Lipschitz set-valued functions. The applied fractional operator is given by the kernel kðρ, sÞ = ξðρÞ - ξðsÞ and the derivative operator ð1/ξ′ðρÞÞðd/dρÞ. The existence result is obtained via fixed point theorems due to Covitz and Nadler. Moreover, we also characterize the topological properties of the set of solutions for such inclusions. The obtained results generalize previous works in the literature, where the classical Caputo fractional derivative is considered. In the end, an example demonstrating the effectiveness of the theoretical results is presented. Copyrighten_US
dc.identifier.citationLachouri, Adel...at all (2021). "Semilinear fractional evolution inclusion problem in the frame of a generalized Caputo operator", Journal of Function Spaces, Vol. 2021.en_US
dc.identifier.doi10.1155/2021/8162890
dc.identifier.issn2314-8896
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5998
dc.identifier.volume2021en_US
dc.language.isoenen_US
dc.relation.ispartofJournal of Function Spacesen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleSemilinear fractional evolution inclusion problem in the frame of a generalized Caputo operatortr_TR
dc.titleSemilinear Fractional Evolution Inclusion Problem in the Frame of a Generalized Caputo Operatoren_US
dc.typeReviewen_US
dspace.entity.typePublication

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