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On the Existence and Uniqueness of Solution of A Nonlinear Fractional Differential Equations

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dc.contributor.author Darzi, Rahmat
dc.contributor.author Mohammadzadeh, B.
dc.contributor.author Neamaty, Abdolali
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-04-03T11:43:53Z
dc.date.available 2020-04-03T11:43:53Z
dc.date.issued 2013-01
dc.identifier.citation Darzi, R...et al. (2013). "ON THE EXISTENCE AND UNIQUENESS OF SOLUTION OF A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS", Journal of Computational Analysis and Applications, Vol, 15, No. 1, pp. 152-162. tr_TR
dc.identifier.issn 1521-1398
dc.identifier.issn 1572-9206
dc.identifier.uri http://hdl.handle.net/20.500.12416/2890
dc.description.abstract In this paper, we investigate the existence and uniqueness of solution for fractional boundary value problem for nonlinear fractional differential equation D-0+(alpha) u(t) = f(t,u(t)), 0 < t < 1, 2 < alpha <= 3, with the integral boundary conditions {u(0) - gamma(1) u(1) = lambda(1) integral(1)(0) g(1) (s, u(s))ds, u'(0) - gamma(2)u'(1) = lambda(2) integral(1)(0) g(2) (s, u(s))ds, u ''(0) - gamma(2)u ''(1) = 0, where D-0+(alpha) denotes Caputo derivative of order alpha. by using the fixed point theory. We apply the contraction mapping principle and Krasnoselskii's fixed point theorem to obtain some new existence and uniqueness results. Two examples are given to illustrate the main results. tr_TR
dc.language.iso eng tr_TR
dc.publisher Eudoxus Press tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Fractional Boundary Value Problem tr_TR
dc.subject Integral Boundary Conditions tr_TR
dc.subject Fixed Point Theory tr_TR
dc.title On the Existence and Uniqueness of Solution of A Nonlinear Fractional Differential Equations tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Computational Analysis and Applications tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 15 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 152 tr_TR
dc.identifier.endpage 162 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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