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Nonlinear fractional differential equations and their existence via fixed point theory concerning to Hilfer generalized proportional fractional derivative

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dc.contributor.author Rashid, Saima
dc.contributor.author Ahmad, Abdulaziz Garba
dc.contributor.author Jarad, Fahd
dc.contributor.author Alsaadi, Ateq
dc.date.accessioned 2024-01-12T12:31:42Z
dc.date.available 2024-01-12T12:31:42Z
dc.date.issued 2023
dc.identifier.citation Rashid, Saima;...et.al. (2023). "Nonlinear fractional differential equations and their existence via fixed point theory concerning to Hilfer generalized proportional fractional derivative", AIMS Mathematics, Vol.8, No.1, pp.382-403. tr_TR
dc.identifier.issn 24736988
dc.identifier.uri http://hdl.handle.net/20.500.12416/6886
dc.description.abstract This article adopts a class of nonlinear fractional differential equation associating Hilfer generalized proportional fractional (GPF) derivative with having boundary conditions, which amalgamates the Riemann-Liouville (RL) and Caputo-GPF derivative. Taking into consideration the weighted space continuous mappings, we first derive a corresponding integral for the specified boundary value problem. Also, we investigate the existence consequences for a certain problem with a new unified formulation considering the minimal suppositions on nonlinear mapping. Detailed developments hold in the analysis and are dependent on diverse tools involving Schauder’s, Schaefer’s and Kransnoselskii’s fixed point theorems. Finally, we deliver two examples to check the efficiency of the proposed scheme. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2023018 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Boundary Value Problem tr_TR
dc.subject Existence Of Solution tr_TR
dc.subject Fixed Point Theory tr_TR
dc.subject Hilfer Proportional Fractional Derivative tr_TR
dc.title Nonlinear fractional differential equations and their existence via fixed point theory concerning to Hilfer generalized proportional fractional derivative 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 382 tr_TR
dc.identifier.endpage 403 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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