Malaysian Journal of Mathematical Sciences, September 2020, Vol. 14, No. 3
A Spectral Fractional-Order Method for Solving Nonlinear Weakly Singular Volterra Integral Equations
Razaghzadeh, N., Mohseni Moghadam, M., and Saeedi, H.
Corresponding Email: saeedi@uk.ac.ir
Received date: 30 December 2019
Accepted date: 28 August 2020
Abstract:
In this paper, we present a spectral method based on fractional-order Jacobi functions and their new constructed operational matrix of fractional integration for solving nonlinear weakly singular Volterra integral equations which include Abel equations. A proposed error analysis investigates the convergence of the mentioned method. Some numerical examples are presented to confirm the efficiency and accuracy of the method.
Keywords: Operational matrix of fractional integration, weakly singular Volterra equations.
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