Existence Results for a Coupled System of Nonlinear Fractional Differential Equation with Four-Point Boundary Conditions

الملخص EN

This paper studies a coupled system of nonlinear fractional differential equation with four-point boundary conditions.

Applying the Schauder fixed-point theorem, an existence result is proved for the following system: Dαu(t)=f(t,v(t),Dmv(t)), t∈(0,1), Dβv(t)=f(t,u(t),Dnu(t)), t∈(0,1), u(0)=γu(ζ), u(1)=δu(η), v(0)=γv(ζ), v(1)=δv(η), where α,β,m,n,ζ,η,γ,δ satisfy certain conditions.