Mild solutions for fractional differential equations with nonlocal conditions.
Li, Fang (2010)
Advances in Difference Equations [electronic only]
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Li, Fang (2010)
Advances in Difference Equations [electronic only]
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Anguraj, A., Karthikeyan, P., Trujillo, J.J. (2011)
Advances in Difference Equations [electronic only]
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Li, Fang, N'guérékata, Gaston M. (2010)
Advances in Difference Equations [electronic only]
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Lv, Zhi-Wei, Liang, Jin, Xiao, Ti-Jun (2010)
Advances in Difference Equations [electronic only]
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Lv, Zhi-Wei (2011)
Advances in Difference Equations [electronic only]
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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...
Saadi, A., Benbachir, M. (2011)
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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Chen, Anping, Chen, Yi (2011)
Boundary Value Problems [electronic only]
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Bai, Chuanzhi (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Wang, Jinhua, Xiang, Hongjun, Liu, Zhigang (2010)
International Journal of Differential Equations
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