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Existence and stability results for multi-time scale stochastic fractional neural networks
Journal article   Open access  Peer reviewed

Existence and stability results for multi-time scale stochastic fractional neural networks

Dehua Wang, Xiao-Li Ding and Bashir Ahmad
Advances in difference equations, Vol.2019(1), pp.1-12
17/10/2019
DOI: https://doi.org/10.1186/s13662-019-2368-x

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We apply the tools of functional analysis to investigate the existence and uniqueness of solutions for multi-scale stochastic fractional neutral networks. By constructing a descent Lyapunov functional, the asymptotic stability of the solution of the given problem is also studied. Finally, we present two examples to illustrate the effectiveness of the theory.
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https://doi.org/10.1186/s13662-019-2368-xView
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