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

Abstract

Abstract 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.

Keywords

• Multi-time scale stochastic fractional neutral networks
• Existence and uniqueness of solutions
• Asymptotic stability