Sign inSubmit
ArticleMetrics
Research Article · Open access · Published 11 February 2017

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

Sarkhosh S. Chaharborj1, Shahriar S. Chaharborj2 & Yaghoub Mahmoudi2

Journal of Mathematics and Statistics, Volume 13, Issue 1, pp. 1–13 · doi.org/10.3844/jmssp.2017.1.13

7,403 accesses4,700 downloads18 citations (Crossref)Metrics
Cite Check for updates

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.

Licence and reuse

Open access. This article is licensed under a Creative Commons Attribution 3.0 Licence (CC BY 3.0), as printed on the article, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original authors and the source. No permission is needed.

How to reuse this article

Responses (0)

Have a comment on this research? Sign in to respond. Responses are moderated and published with your name and affiliation; the authors are invited to reply. How we use your dataWrite a response

About this article

Cite this article

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

Licence
CC BY 3.0
Issue
Volume 13, Issue 1
Policies
Editorial independenceUse of generative AIData availabilityAppeals and complaints
Version
Version of record
Study of Fractional Order Integro-Differential Equations by using Chebyshev Neural NetworkJournal of Mathematics and Statistics · Volume 13, Issue 1 · pp. 1–13 · CC BY 3.0Download