Stability Analysis of Fractional-Order Hindmarsh-Rose Neuron Model with Time-Delays

Abstract

In this paper, the authors considered a class of fractional-order Hindmarsh-Rose (HR) neuron model with time-delays and widely investigated the dynamical behaviors of considered fractional-order HR model with time-delays. Some new sufficient conditions are derived by using the proposed stability theory of linear fractional-order systems to guarantee the stability results of fractional-order HR model with time-delays. Numerical simulations are also presented as evidence for the effectiveness of our derived theoretical results.