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Stability analysis for boundary value problems with generalized nonlocal condition via Hilfer–Katugampola fractional derivative

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dc.contributor.author Ahmed, Idris
dc.contributor.author Kumam, Poom
dc.contributor.author Jarad, Fahd
dc.contributor.author Borisut, Piyachat
dc.contributor.author Sitthithakerngkiet, Kanokwan
dc.contributor.author Ibrahim, Alhassan
dc.date.accessioned 2023-01-12T06:50:26Z
dc.date.available 2023-01-12T06:50:26Z
dc.date.issued 2020-12-01
dc.identifier.citation Ahmed, Idris...et al. (2020). "Stability analysis for boundary value problems with generalized nonlocal condition via Hilfer–Katugampola fractional derivative", Advances in Difference Equations, Vol. 2020, No.1. tr_TR
dc.identifier.issn 1687-1839
dc.identifier.uri http://hdl.handle.net/20.500.12416/6055
dc.description.abstract In this research, we present the stability analysis of a fractional differential equation of a generalized Liouville–Caputo-type (Katugampola) via the Hilfer fractional derivative with a nonlocal integral boundary condition. Besides, we derive the relation between the proposed problem and the Volterra integral equation. Using the concepts of Banach and Krasnoselskii’s fixed point theorems, we investigate the existence and uniqueness of solutions to the proposed problem. Finally, we present two examples to clarify the abstract result. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1186/s13662-020-02681-2 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Hilfer Fractional Derivative tr_TR
dc.subject Nonlocal Integral Condition tr_TR
dc.subject Stability tr_TR
dc.subject Volterra Integral Equation tr_TR
dc.title Stability analysis for boundary value problems with generalized nonlocal condition via Hilfer–Katugampola fractional derivative tr_TR
dc.type article tr_TR
dc.relation.journal Advances in Difference Equations tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 2020 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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