In this paper, we study the existence and uniqueness of solution (EUS) as well as Hyers-Ulam stability for a coupled system of FDEs in Caputo’s sense with nonlinear p-Laplacian operator. For this purpose, the suggested coupled system is transferred to an integral system with the help of four Green functions mathcal{G}^{alpha_{1}}(t,s), mathcal{G}^{beta_{1}}(t,s), mathcal{G}^{alpha_{2}}(t,s), mathcal{G}^{beta_{2}}(t,s). Then using topological degree theory and Leray-Schauder’s-type fixed point theorem, existence and uniqueness results are proved. An illustrative and expressive example is given as an application of the results.