Journal
ASIAN JOURNAL OF CONTROL
Volume 22, Issue 1, Pages 143-155Publisher
WILEY
DOI: 10.1002/asjc.1918
Keywords
Contraction mapping principle; Krasnoselskii; discrete fractional-order; BAM neural networks; stability
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Funding
- Prince Sultan University through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) [RG-DES-2017-01-17]
- Science and Engineering Research Board, India [PDF/2016/002932]
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In this paper, a discrete model of fractional-order bidirectional associative memory (BAM) neural networks with leakage delay is considered. Sufficient conditions are established for the existence, uniqueness and uniform stability of nontrivial solutions of the addressed model. Our approach is based on the implementation of the newly defined discrete fractional calculus, mathematical inequalities and fixed point theorems. We provide an example that supports the application of the theoretical results.
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