On General Form of Fractional Delay Integro-Differential Equations

In this paper, a numerical solution of general form of fractional delay integro-differential equation (GFDIDE) is presented using spectral collocation method. The Chebyshev polynomials of the second kind are used as a basis function with the collocation scheme. The proposed equation represents a general form of intgro-differential equation with delayed argument, which has multi-terms of integer and fractional order derivatives for delayed or non-delayed terms. The operation matrices for all terms of GFDIDE are introduced according to fractional calculus. The reliability and efficiency of the proposed method are demonstrated by some numerical examples.