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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

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

Sarkhosh S. Chaharborj1, Shahriar S. Chaharborj2 and Yaghoub Mahmoudi2
  • 1 Carleton University, Canada
  • 2 Islamic Azad University, Iran

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.

Journal of Mathematics and Statistics
Volume 13 No. 1, 2017, 1-13

DOI: https://doi.org/10.3844/jmssp.2017.1.13

Submitted On: 11 April 2016 Published On: 11 February 2017

How to Cite: Chaharborj, S. S. & Mahmoudi, Y. (2017). Study of Fractional Order Integro-Differential Equations by using Chebyshev Neural Network. Journal of Mathematics and Statistics, 13(1), 1-13. https://doi.org/10.3844/jmssp.2017.1.13

Open AccessCopyright: © 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.

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Keywords

  • Integro-Differential Equations
  • Fractional Order
  • Chebyshev Neural Network
  • Error Back Propagation Algorithm
  • Feed Forward Neural Network