Positive solutions for three-point nonlinear fractional boundary value problems.
Saadi, A., Benbachir, M. (2011)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Displaying similar documents to “Existence results of positive solutions to fractional differential equation with integral boundary conditions”
Positive solutions for three-point nonlinear fractional boundary value problems.
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Svatoslav Staněk (2013)
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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 of positive solutions for boundary value problems of fractional functional differential equations.
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Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Lv, Zhi-Wei (2011)
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Liang, Jin, Lv, Zhi-Wei (2011)
Advances in Difference Equations [electronic only]
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On positive solutions of a class of second order nonlinear differential equations on the halfline
Svatoslav Staněk (1995)
Annales Polonici Mathematici
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The differential equation of the form , a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u’(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.