Solving a system of nonlinear fractional differential equations using Chebyshev wavelets method

In this paper, we solve a system of nonlinear fractional differential equations (FDEs) using Chebyshev wavelets of the second kind. First, we convert the system of nonlinear FDEs into a system of algebraic equations using Chebyshev wavelets operational matrix. Then, by solving this algebraic system, we obtain the approximate solution of the main problem. In addition, we solve an example by the proposed method and the Legendre wavelets method. Also, the approximate solutions are compared together.