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

Journal of Mathematics and Statistics

Chaharborj, Sarkhosh S.¹ 

关键词: Integro-Differential Equations;    Fractional Order;    Chebyshev Neural Network;    Error Back Propagation Algorithm;    Feed Forward Neural Network;   

DOI  :  10.3844/jmssp.2017.1.13

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

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.

【 授权许可】

CC BY