Journal of Mathematics and Statistics

Study of Fractional Order Integro-Differential Equations by using Chebyshev Neural Network

Sarkhosh S. Chaharborj, Shahriar S. Chaharborj and Yaghoub Mahmoudi

DOI : 10.3844/jmssp.2017.1.13

Journal of Mathematics and Statistics

Volume 13, Issue 1

Pages 1-13

Abstract

Recently fractional integro-differential equations have been proposed for the modeling of many complex systems. Simulation of these equations requires the development of suitable numerical methods. This paper is devoted to finding the numerical solution of some classes of fractional integro-differential equations by employing the Chebyshev Neural Network (ChNN). The accuracy of proposed method is shown by comparing the numerical results computed by using Chebyshev neural network method with the analytical solution.

Copyright

© 2017 Sarkhosh S. Chaharborj, Shahriar S. Chaharborj and Yaghoub Mahmoudi. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.