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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Bai, Chuanzhi (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Tian, Yuansheng, Chen, Anping (2009)
Abstract and Applied Analysis
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Wang, Jinhua, Xiang, Hongjun, Liu, Zhigang (2010)
International Journal of Differential Equations
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Anguraj, A., Karthikeyan, P., Trujillo, J.J. (2011)
Advances in Difference Equations [electronic only]
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Yuan, Chengjun, Jiang, Daqing, Xu, Xiaojie (2009)
Mathematical Problems in Engineering
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Saadi, A., Benbachir, M. (2011)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Zhong, Wenyong (2010)
Abstract and Applied Analysis
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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...
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.
Li, Fang, N'guérékata, Gaston M. (2010)
Advances in Difference Equations [electronic only]
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