A Galerkin method of for singular boundary value problems.
Beg, G.K., El-Gebeily, M.A. (2002)
International Journal of Mathematics and Mathematical Sciences
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Beg, G.K., El-Gebeily, M.A. (2002)
International Journal of Mathematics and Mathematical Sciences
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Vanualailai, Jito (2002)
Electronic Journal of Qualitative Theory of Differential 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...
Momani, Shaher, Hadid, Samir (2004)
International Journal of Mathematics and Mathematical Sciences
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Tian, Yuansheng, Chen, Anping (2009)
Abstract and Applied Analysis
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Yuan, Chengjun, Jiang, Daqing, Xu, Xiaojie (2009)
Mathematical Problems in Engineering
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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.
Zhang, Bo (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Saadi, A., Benbachir, M. (2011)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Daqing Jiang, Huizhao Liu (1999)
Annales Polonici Mathematici
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The existence of nonnegative radial solutions for some systems of m (m ≥ 1) quasilinear elliptic equations is proved by a simple application of a fixed point theorem in cones.
Frota, C.L., Lar'kin, N.A. (1998)
Portugaliae Mathematica
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