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

This paper studies a coupled system of nonlinear fractional differential equations with three-point boundary conditions. Applying the Schauder fixed point theorem, an existence result is proved for the following system Dαu(t)=f(t,v(t),Dpv(t)),Dβv(t)=g(t,u(t),Dqu(t)),t∈(0,1),u(0)=0,u(1)=γu(η),v(0)=0,v(1)=γv(η), where α,β,p,q,η,γα,β,p,q,η,γ satisfy certain conditions.