Chebyshev operational matrix for solving fractional order delay-differential equations using spectral collocation method

Abstract

In this article, the solution for general form of fractional order delay-differential equations (GFDDEs) is introduced. The proposed GFDDEs have multi-term of integer and fractional order derivatives for delayed or non delayed terms. An operational matrix is presented for all terms. The spectral collocation method is used to solve the proposed GFDDEs as a matrix discretization method. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments.