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Existence and Stability Analysis of Fractional Order BAM Neural Networks with a Time Delay
Department of Basic Courses, Lianyungang Technical College, Lianyungang, China
Department of Mathematics, Huaiyin Normal University, Huaian, China
- 1 Department of Basic Courses, Lianyungang Technical College, Lianyungang, China
- 2 Department of Mathematics, Huaiyin Normal University, Huaian, China
Applied Mathematics·Volume 06 (2015)·Pages 2057–2068·Published 9 November 2015·DOI10.4236/am.2015.612181
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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.
KeywordsBAM Neural NetworksCaputo Fractional-OrderExistenceFixed Point TheoremsUniform Stability
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