Lyapunov stability solutions of fractional integrodifferential equations.

Momani, Shaher; Hadid, Samir

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Displaying similar documents to “Lyapunov stability solutions of fractional integrodifferential equations.”

Two-point boundary value problems for the generalized Bagley-Torvik fractional differential equation

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...

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Burton, T.A., Somolinos, Alfredo (1999)

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Existence of solutions to fractional mixed integrodifferential equations with nonlocal initial condition.

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Singular positone and semipositone boundary value problems of nonlinear fractional differential equations.

Yuan, Chengjun, Jiang, Daqing, Xu, Xiaojie (2009)

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Existence of solutions for a nonlinear fractional order differential equation.

Kaufmann, Eric R., Yao, Kouadio David (2009)

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Wang, Jinhua, Xiang, Hongjun, Liu, Zhigang (2010)

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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.