A computational approach for solving fractional integral equations based on Legendre collocation method

In this paper, we propose a new method for solving second-order fractional integral equations. By using of spectral collocation method based on Gauss–Legendre–Lobatto points, a system of algebraic equations is obtained and then, we get a solution based on Legendre polynomials. If \(L^{2}\) norm is used, this proposed method has a favorable convergence rate, which is shown by some examples.