Numerical Studies for Solving Linear Fractional Integro-differential Equations Based on Constructed Orthogonal Polynomials

Oyedepo T., Taiwo O. A.

Abstract


In this paper, two numerical methods for solving fractional integro-differential equations are presented. The fractional derivative is considered in the Caputo sense. The proposed methods are
standard least squares method (SLSM) and modified homotopy perturbation methods (MHPM) with the aids of constructed orthogonal polynomials as basic functions. The suggested methods reduce this type of problem to the solution of system of linear algebraic equations and then
solved using MAPLE 18. To demonstrate the accuracy and applicability of the presented methods some numerical examples are provided. Numerical results show that the methods are easy to implement and accurate when applied to fractional integro-differential equations. The graphical
solutions of each the method is displayed.


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