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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Displaying similar documents to “Existence of solutions for fractional differential inclusions with nonlocal Riemann-Liouville integral boundary conditions”
Existence of solutions for fractional differential inclusions with antiperiodic boundary conditions.
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Positive solution to nonzero boundary values problem for a coupled system of nonlinear fractional differential equations.
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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...
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Existence of periodic solution for a nonlinear fractional differential equation.
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Existence results of positive solutions to fractional differential equation with integral boundary conditions
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.