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Positive Solutions To Fractional Boundary Value Problems With Nonlinear Boundary Conditions

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dc.contributor.author Nyamoradi, Nemat
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Bashiri, Tahereh
dc.date.accessioned 2020-04-02T14:41:35Z
dc.date.available 2020-04-02T14:41:35Z
dc.date.issued 2013
dc.identifier.citation Nyamoradi, Nemat; Baleanu, Dumitru; Bashiri, Tahereh, "Positive Solutions to Fractional Boundary Value Problems with Nonlinear Boundary Conditions", Abstract and Applied Analysis, (2013) tr_TR
dc.identifier.issn 1085-3375
dc.identifier.issn 1687-0409
dc.identifier.uri http://hdl.handle.net/20.500.12416/2837
dc.description.abstract We consider a system of boundary value problems for fractional differential equation given by D-0+(beta)phi(p)(d(0+)(alpha)u)(t) = lambda(1)a(1)(t)f(1)(u(t), v(t)), t is an element of (0, 1), D-0+(beta)phi(P)(D(0+)(alpha)v)(t) - lambda(2)a(2)(t)f(2)(u(t), v(t)), t is an element of (0, 1), where 1 < alpha, beta <= 2, 2 < alpha + beta <= 4, lambda(1), lambda(2) are eigenvalues, subject either to the boundary conditions D(0+)(alpha)u(0) = D(0+)(alpha)u(1) = 0, u(0) = 0, D(0+)(alpha)u(1) - Sigma(m-2)(i=1)a(1i) D(0+)(beta 1)u(xi(1i)) = 0, D(0+)(alpha)v(0) = D(0+)(alpha)v(1) =0, v(0) = 0, D(0+)(beta 1)v(1) - Sigma(m-2)(i=1)a(2i)D(0+)(beta 1)v(xi(2i)) = 0 or D(0+)(alpha)u(0) = D(0+)(alpha)u(1) = 0, u(0) = 0, D(0+)(beta 1)u(1) - Sigma(m-2)(i=1)a(1i)D(0+)(beta 1)u(xi(1i)) = psi(1)(u), D(0+)(alpha)v(0) = D(0+)(alpha)v(1) = 0, v(0) = 0, D(0+)(beta 1)v(1) - Sigma(m-2)(i=1)a(2i) D(0+)(beta 1)v(xi(2i)) = psi(2)(v) where 0 < beta(1) < 1, alpha - beta(1) - 1 > 0 and psi(1), psi(2) : C([0, 1]) -> [0, infinity) are continuous functions. The Krasnoselskiis fixed point theorem is applied to prove the existence of at least one positive solution for both fractional boundary value problems. As an application, an example is given to demonstrate some of main results. tr_TR
dc.language.iso eng tr_TR
dc.publisher Hindawi LTD tr_TR
dc.relation.isversionof 10.1155/2013/579740 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Existence tr_TR
dc.subject Equation tr_TR
dc.title Positive Solutions To Fractional Boundary Value Problems With Nonlinear Boundary Conditions 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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