The existence of positive solution to three-point singular boundary value problem of fractional differential equation.
Tian, Yuansheng, Chen, Anping (2009)
Abstract and Applied Analysis
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Displaying similar documents to “Existence of positive solutions for boundary value problems of fractional functional differential equations.”
The existence of positive solution to three-point singular boundary value problem of fractional differential equation.
Positive solution to nonzero boundary values problem for a coupled system of nonlinear fractional differential equations.
Wang, Jinhua, Xiang, Hongjun, Liu, Zhigang (2010)
International Journal of Differential Equations
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Singular positone and semipositone boundary value problems of nonlinear fractional differential equations.
Yuan, Chengjun, Jiang, Daqing, Xu, Xiaojie (2009)
Mathematical Problems in Engineering
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Existence of periodic solution for a nonlinear fractional differential equation.
Belmekki, Mohammed, Nieto, Juan J., Rodríguez-López, Rosana (2009)
Boundary Value Problems [electronic only]
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Two-point boundary value problems for the generalized Bagley-Torvik fractional differential equation
Svatoslav Staněk (2013)
Open Mathematics
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We investigate the fractional differential equation u″ + A c D α u = f(t, u, c D μ u, u′) subject to the boundary conditions u′(0) = 0, u(T)+au′(T) = 0. Here α ∈ (1, 2), µ ∈ (0, 1), f is a Carathéodory function and c D is the Caputo fractional derivative. Existence and uniqueness results for the problem are given. The existence results are proved by the nonlinear Leray-Schauder alternative. We discuss the existence of positive and negative solutions to the problem and properties of their...
Positive solutions for three-point nonlinear fractional boundary value problems.
Saadi, A., Benbachir, M. (2011)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Positive solutions for multipoint boundary value problem of fractional differential equations.
Zhong, Wenyong (2010)
Abstract and Applied Analysis
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Positive solutions of -point boundary value problems for fractional differential equations.
Lv, Zhi-Wei (2011)
Advances in Difference Equations [electronic only]
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New existence results for nonlinear fractional differential equations with three-point integral boundary conditions.
Ahmad, Bashir, Ntouyas, Sotiris K., Alsaedi, Ahmed (2011)
Advances in Difference Equations [electronic only]
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Existence results of positive solutions to fractional differential equation with integral boundary conditions
Shu Qin Zhang (2010)
Mathematica Bohemica
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In this paper we consider the existence, multiplicity, and nonexistence of positive solutions to fractional differential equation with integral boundary conditions. Our analysis relies on the fixed point index.