New numerical solution method for a large class of fractional functional integro-differential equations

In this study, a fast and reliable numerical method is proposed to obtain numerical solutions with matrix formulations of Euler-Taylor Polynomials of various functional integro-differential equations under mixed conditions. To illustrate the efficiency and applicability of the proposed method, some examples and data of numerical calculations are given. In the second chapter, basic concepts of integro-differential equations, Volterra-Fredholm integral equations, Fractional differential equations and EulerTaylor Polynomials are given. In the third chapter, Euler-Taylor collocation method is proposed to find the solutions of integro-differential equations, Volterra-Fredholm integral equations and fractional differential equations. It is observed that there would be improvements in different samples in a shorter time with low process numbers