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Existence and Uniqueness of Solution for A Class of Nonlinear Fractional Order Differential Equations

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dc.contributor.author Babakhani, Azizollah
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-04-09T20:36:28Z
dc.date.available 2020-04-09T20:36:28Z
dc.date.issued 2012
dc.identifier.citation Babakhani, Azizollah; Baleanu, Dumitru, "Existence and Uniqueness of Solution for a Class of Nonlinear Fractional Order Differential Equations", Abstract and Applied Analysis, (2012) tr_TR
dc.identifier.issn 1687-0409
dc.identifier.issn 1085-3375
dc.identifier.uri http://hdl.handle.net/20.500.12416/3022
dc.description.abstract We discuss the existence and uniqueness of solution to nonlinear fractional order ordinary differential equations (D-alpha - rho tD(beta))x(t) = f(t, x(t), D(gamma)x(t)), t is an element of (0, 1) with boundary conditions x(0) = x(0), x(1) = x(1) or satisfying the initial conditions x(0) = 0, x'(0) = 1, where D-alpha denotes Caputo fractional derivative, rho is constant, 1 < alpha < 2, and 0 < beta + gamma <= alpha. Schauder's fixed-point theorem was used to establish the existence of the solution. Banach contraction principle was used to show the uniqueness of the solution under certain conditions on f. tr_TR
dc.language.iso eng tr_TR
dc.publisher Hindawi LTD tr_TR
dc.relation.isversionof 10.1155/2012/632681 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Boundary-Value Problem tr_TR
dc.title Existence and Uniqueness of Solution for A Class of Nonlinear Fractional Order Differential Equations tr_TR
dc.type article tr_TR
dc.relation.journal Abstract and Applied Analysis tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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