A NUMERICAL METHOD FOR SOLVING DELAY-FRACTIONAL DIFFERENTIAL AND INTEGRO-DIFFERENTIAL EQUATIONS

This article develops a direct method for solving numerically multi delay-fractional di erential and integrodi erential equations. A Galerkin method based on Legendre polynomials is implemented for solving linear and nonlinear of equations. The main characteristic behind this approach is that it reduces such problems to those of solving a system of algebraic equations. A convergence analysis and an error estimation are also given. Numerical results with comparisons are given to con rm the reliability of the proposed method.