Comparison of the Orthogonal Polynomial Solutions for Fractional Integral Equations

Abstract

In this paper, a collocation method based on the orthogonal polynomials is presented to solve the fractional integral equations. Six numerical examples are given to illustrate the method. The results are compared with the other methods in the literature, and the results obtained by different kinds of polynomials are compared.

Keywords

• fractional integral equations
• Abel integral equations
• Volterra integral equations
• collocation method
• singular integral equation