Dynamical behavior for fractional-order shunting inhibitory cellular neural networks

This paper deals with a class of fractional-order shunting inhibitory cellular neural networks. Applying the contraction mapping principle, Krasnoselskii fixed point theorem and the inequality technique, some very verifiable criteria on the existence and uniqueness of nontrivial solution are obtained. Moreover, we also investigate the uniform stability of the fractional-order shunting inhibitory cellular neural networks. Finally, an example is given to illustrate our main theoretical findings. Our results are new and complement previously known results.