In this paper, we study the existence, uniqueness and stability in the sense of Ulam-Hyers Mittag-Leffler approach for a particular class of nonlinear coupled systems of Caputo fractional differential equations equipped with six homogeneous and nonhomogeneous integral boundary conditions. The uniqueness result for the given problem is based on the Banach fixed point theorem, while the existence of its solutions is accomplished by applying the Schaefer fixed point theorem. In addition, the results obtained are supported with illustrative examples.