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Multipoint BVP for the Langevin Equation under ϕ -Hilfer Fractional Operator

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dc.contributor.author Almalahi, Mohammed A
dc.contributor.author Panchal, Satish K.
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2024-04-25T07:36:58Z
dc.date.available 2024-04-25T07:36:58Z
dc.date.issued 2022
dc.identifier.citation Almalahi, Mohammed A.; Panchal, Satish K.; Jarad, Fahd. (2022). "Multipoint BVP for the Lange", Journal of Function Spaces, Vol.2022. tr_TR
dc.identifier.issn 23148896
dc.identifier.uri http://hdl.handle.net/20.500.12416/7960
dc.description.abstract In this research paper, we consider a class of boundary value problems for a nonlinear Langevin equation involving two generalized Hilfer fractional derivatives supplemented with nonlocal integral and infinite-point boundary conditions. At first, we derive the equivalent solution to the proposed problem at hand by relying on the results and properties of the generalized fractional calculus. Next, we investigate and develop sufficient conditions for the existence and uniqueness of solutions by means of semigroups of operator approach and the Krasnoselskii fixed point theorems as well as Banach contraction principle. Moreover, by means of Gronwall's inequality lemma and mathematical techniques, we analyze Ulam-Hyers and Ulam-Hyers-Rassias stability results. Eventually, we construct an illustrative example in order to show the applicability of key results. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1155/2022/2798514 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.title Multipoint BVP for the Langevin Equation under ϕ -Hilfer Fractional Operator tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Function Spaces tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 2022 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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