Existence of Solutions to Boundary Value Problems for a Class of Coupled Systems of Nonlinear Fractional Differential Equations

A two-point boundary value problem for a class of coupled systems of nonlinear fractional differential equations was investigated, with Schauder's fixed point theorem, an existence result of solutions was verified, and an approximate solution of the boundary value problem was obtained by using Adomian decomposition method. In addition, a numerical example is presented to demonstrate the application of the main result.