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Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 529358, 6 pages
http://dx.doi.org/10.1155/2014/529358
Research Article

Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed Delay

1Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
2Department of Mathematics, Southeast University, Nanjing 210096, China

Received 18 November 2013; Accepted 26 November 2013; Published 12 January 2014

Academic Editor: Guanghui Wen

Copyright © 2014 Abdulaziz Alofi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper is concerned with the finite-time stability of Caputo fractional neural networks with distributed delay. The factors of such systems including Caputo’s fractional derivative and distributed delay are taken into account synchronously. For the Caputo fractional neural network model, a finite-time stability criterion is established by using the theory of fractional calculus and generalized Gronwall-Bellman inequality approach. Both the proposed criterion and an illustrative example show that the stability performance of Caputo fractional distributed delay neural networks is dependent on the time delay and the order of Caputo’s fractional derivative over a finite time.