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Existence, uniqueness and stability of solutions for generalized proportional fractional hybrid integro-differential equations with Dirichlet boundary conditions

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dc.contributor.author Laadjal, Zaid
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2023-12-07T12:32:02Z
dc.date.available 2023-12-07T12:32:02Z
dc.date.issued 2023
dc.identifier.citation Laadjal, Zaid; Jarad, Fahd. (2023). "Existence, uniqueness and stability of solutions for generalized proportional fractional hybrid integro-differential equations with Dirichlet boundary conditions", AIMS Mathematics, Vol.8, No.1, pp.1172-1194. tr_TR
dc.identifier.issn 24736988
dc.identifier.uri http://hdl.handle.net/20.500.12416/6771
dc.description.abstract In this work, the existence of solutions for nonlinear hybrid fractional integro-differential equations involving generalized proportional fractional (GPF) derivative of Caputo-Liouville-type and multi-term of GPF integrals of Reimann-Liouville type with Dirichlet boundary conditions is investigated. The analysis is accomplished with the aid of the Dhage’s fixed point theorem with three operators and the lower regularized incomplete gamma function. Further, the uniqueness of solutions and their Ulam-Hyers-Rassias stability to a special case of the suggested hybrid problem are discussed. For the sake of corroborating the obtained results, an illustrative example is presented. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2023059 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Caputo-Liouville Proportional Fractional Derivative tr_TR
dc.subject Fixed Point Theorem tr_TR
dc.subject Hybrid Fractional Integro-Differential Equation tr_TR
dc.subject Incomplete Gamma Function tr_TR
dc.subject Ulam-Hyers Stability tr_TR
dc.title Existence, uniqueness and stability of solutions for generalized proportional fractional hybrid integro-differential equations with Dirichlet boundary conditions tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 8 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 1172 tr_TR
dc.identifier.endpage 1194 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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