Abstract
In this manuscript, we study existence and uniqueness of positive solution to a coupled system of non-local boundary value problem devoted to non linear fractional order differential equations. We impose some growth conditions on nonlinear functions explicitly depend on the fractional derivative involved in them. Then by using classical fixed point theorem such as Leray-Schauder type and Banach contraction theorem. Further in view of the established growth conditions, we obtain appropriate conditions for existence and uniqueness of positive solution. Moreover, also an example is provided to illustrate the main results.