New criteria on the finite-time stability of fractional-order BAM neural networks with time delay

In this paper, the finite-time stability of a class of fractional-order bidirectional associative memory neural networks(FBAMNNs) with time delay is concerned. Based on the monotonicity of function, a new inequality is proved. For 0< α < 1 and 1< α < 2 , based on the properties of the fractional derivative, the method of step and the fractional Gronwall inequality or the generalized Gronwall inequality, some new criteria on the finite-time stability of FBAMNNs are derived. Finally, three numerical examples are provided to show the effectiveness and superiority of the criteria obtained in this paper.