Existence of solutions for fractional differential inclusions with antiperiodic boundary conditions.
Ahmad, Bashir, Otero-Espinar, Victoria (2009)
Boundary Value Problems [electronic only]
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Ahmad, Bashir, Otero-Espinar, Victoria (2009)
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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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...
Tian, Yuansheng, Chen, Anping (2009)
Abstract and Applied Analysis
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Lv, Zhi-Wei (2011)
Advances in Difference Equations [electronic only]
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Belmekki, Mohammed, Nieto, Juan J., Rodríguez-López, Rosana (2009)
Boundary Value Problems [electronic only]
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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.
Saadi, A., Benbachir, M. (2011)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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