Numerical solution of fractional integro-differential equations using Hermite polynomials

Abstract

This study describes a numerical method for solving fractional integro differential equations (FIDEs) using Hermite polynomials (HP). The fractional derivative is considered in the Caputo sense. This type of problem was reduced to a system of linear algebraic equations using the provided method. To demonstrate the theoretical results, numerical results are shown and contrasted to those obtained by different polynomial methods. The solutions of considered problems are stimulated using PYTHON.