Sabatier, J., Agrawal, Om.P. and Machado, J. (2007) Theoretical Developments and Applications. Advance in Fractional Calculus. Springer, Berlin.

has been cited by the following article:

• TITLE: Existence and Stability Analysis of Fractional Order BAM Neural Networks with a Time Delay

  AUTHORS: Yuping Cao, Chuanzhi Bai

  KEYWORDS: BAM Neural Networks, Caputo Fractional-Order, Existence, Fixed Point Theorems, Uniform Stability

  JOURNAL NAME: Applied Mathematics, Vol.6 No.12, November 25, 2015

  ABSTRACT: Based on the theory of fractional calculus, the contraction mapping principle, Krasnoselskii fixed point theorem and the inequality technique, a class of Caputo fractional-order BAM neural networks with delays in the leakage terms is investigated in this paper. Some new sufficient conditions are established to guarantee the existence and uniqueness of the nontrivial solution. Moreover, uniform stability of such networks is proposed in fixed time intervals. Finally, an illustrative example is also given to demonstrate the effectiveness of the obtained results.