On a coupled system of sequential fractional differential equations with variable coefficients and coupled integral boundary conditions

In this paper, we investigate the existence and uniqueness of solutions for a coupled system of Caputo (Liouville-Caputo) type sequential fractional differential equations with variable coefficients supplemented with coupled nonlocal Riemann-Liouville integral boundary conditions. We make use of standard tools of the fixed-point theory to obtain the desired results. Our results are new and give more insight into the study of coupled systems of fractional differential equations with non-constant coefficients. Examples are included for the illustration of main results.