The existence of positive solution to three-point singular boundary value problem of fractional differential equation.

Tian, Yuansheng; Chen, Anping

Displaying similar documents to “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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Existence of positive solutions for boundary value problems of fractional functional differential equations.

Bai, Chuanzhi (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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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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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...

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.