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Existence and uniqueness results for Φ-Caputo implicit fractional pantograph differential equation with generalized anti-periodic boundary condition

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dc.contributor.author Ahmed, Idris
dc.contributor.author Kumam, Poom
dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Jarad, Fahd
dc.contributor.author Borisut, Piyachat
dc.contributor.author Demba, Musa Ahmed
dc.contributor.author Kumam, Wiyada
dc.date.accessioned 2022-04-21T13:48:01Z
dc.date.available 2022-04-21T13:48:01Z
dc.date.issued 2020-12-01
dc.identifier.citation Ahmed, Idris...et al. (2020). "Existence and uniqueness results for Φ-Caputo implicit fractional pantograph differential equation with generalized anti-periodic boundary condition", Advances in Difference Equations, Vol. 2020, No. 1. tr_TR
dc.identifier.issn 1687-1839
dc.identifier.uri http://hdl.handle.net/20.500.12416/5416
dc.description.abstract The present paper describes the implicit fractional pantograph differential equation in the context of generalized fractional derivative and anti-periodic conditions. We formulated the Green’s function of the proposed problems. With the aid of a Green’s function, we obtain an analogous integral equation of the proposed problems and demonstrate the existence and uniqueness of solutions using the techniques of the Schaefer and Banach fixed point theorems. Besides, some special cases that show the proposed problems extend the current ones in the literature are presented. Finally, two examples were given as an application to illustrate the results obtained. © 2020, The Author(s). tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1186/s13662-020-03008-x tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Anti-Periodic Condition tr_TR
dc.subject Pantograph Differential Equation tr_TR
dc.subject Φ-Caputo Fractional Derivative tr_TR
dc.title Existence and uniqueness results for Φ-Caputo implicit fractional pantograph differential equation with generalized anti-periodic boundary condition 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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