Author(s)

Yuping Cao¹, Chuanzhi Bai²

¹Department of Basic Courses, Lianyungang Technical College, Lianyungang, China.
²Department of Mathematics, Huaiyin Normal University, Huaian, China.

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.

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

Cao, Y. and Bai, C. (2015) Existence and Stability Analysis of Fractional Order BAM Neural Networks with a Time Delay. Applied Mathematics, 6, 2057-2068. doi: 10.4236/am.2015.612181.