Existence theory and stability analysis to a system of boundary value problem

The aims and objectives of this manuscript are devoted to investigate some adequate results for the existence of solution to a nonlinear coupled system of fractional order differential equations (FDEs). Appropriate conditions for the existence of at least one solution are developed by using a fixed point theorem of Leray-Schauder type to the considered problem. Further, we also investigate the Hyers-Ulam stability results for the proposed problem. Appropriate examples are given to demonstrate the established results.