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Generalized fractional differential equations for past dynamic

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Shiri, Babak
dc.date.accessioned 2024-03-28T12:45:33Z
dc.date.available 2024-03-28T12:45:33Z
dc.date.issued 2022
dc.identifier.citation Baleanu, Dumitru; Shiri, B. (2022). "Generalized fractional differential equations for past dynamic", AIMS Mathematics, Vol.7, No.8, pp.14394-14418. tr_TR
dc.identifier.issn 24736988
dc.identifier.uri http://hdl.handle.net/20.500.12416/7821
dc.description.abstract Well-posedness of the terminal value problem for nonlinear systems of generalized fractional differential equations is studied. The generalized fractional operator is formulated with a classical operator and a related weighted space. The terminal value problem is transformed into weakly singular Fredholm and Volterra integral equations with delay. A lower bound for the well-posedness of the corresponding problem is introduced. A collocation method covering all problems with generalized derivatives is introduced and analyzed. Illustrative examples for validation and application of the proposed methods are supported. The effects of various fractional derivatives on the solution, well-posedness, and fitting error are studied. An application for estimating the population of diabetes cases in the past is introduced. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2022793 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Collocation Methods tr_TR
dc.subject Generalized Fractional Integral tr_TR
dc.subject Hadamard Fractional Operator tr_TR
dc.subject Katugampola Fractional Operator tr_TR
dc.subject System Of Generalized Fractional Differential Equations tr_TR
dc.subject Terminal Value Problems tr_TR
dc.title Generalized fractional differential equations for past dynamic tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 7 tr_TR
dc.identifier.issue 8 tr_TR
dc.identifier.startpage 14394 tr_TR
dc.identifier.endpage 14418 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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