 For instance, the FCC method can be used for linear incommensurate order FDEs and it does not require to be in canonical form.The essence of the method is that a discretization of the solution at the Chebyshev Gauss–Lobatto collocation points results in having spectral convergence and smaller computation time compared to finite difference methods.To accomplish this, a fractional differentiation matrix is derived at the Chebyshev Gauss–Lobatto collocation points by using the discrete orthogonal relationship of the Chebyshev polynomials.