Abstract
The purpose of this paper is to obtain the existence of at least one solution to the following coupled system of nonlinear fractional order differential equations under the integral type boundary conditions by using topological degree theory
where delta,rho is an element of(1,2], 0<lambda<1, D denotes the standard Caputo fractional derivative, F1,F2:[0,1]xRxR -> R, phi,psi:[0,1]xR -> R and r,h:[0,1]-> R are continuous functions. For this intention, some results for the existence of at least one solution are constructed. For the validity of our results, an appropriate example is presented.