Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions

Abstract

This paper studies a coupled system of nonlinear fractional differential equation with three-point boundary conditions. Applying the Schauder fixed point theorem, an existence result is proved for the following system Du (t) = f (t, v (t) , Dv (t)) , t ∈ (0, 1) , Dv (t) = g (t, u (t) , Du (t)) , t ∈ (0, 1) , u (0) = 0, Du (1) = δDu (η) , v (0) = 0, Dv (1) = δDv (η) , where α, β, m, n, η, δ, θ satisfy certain condition.

DOI: 10.1016/j.camwa.2009.07.091

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@article{Ahmad2009ExistenceRF, title={Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions}, author={Bashir Ahmad and Juan J. Nieto}, journal={Computers & Mathematics with Applications}, year={2009}, volume={58}, pages={1838-1843} }