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.