Study Or Almost Periodic Problem Of Two Kinds Of Fractional Neural Networks

In this paper,we discuss the almost periodic problem of two kinds of fractional order neural networks.Firstly,we study the existence and finite time stability of pseudo almost periodic solutions for a quaternion numerical cellular neural network system with fractional order mixed delays.By using the principle of contractive mapping,we prove the existence and uniqueness of mild solutions.Secondly,the existence and finite time stability of the Stepanov almost periodic solution for a four element numerical Hopfield cellular neural network system with fractional mixed delays are studied.The existence and uniqueness of the mild solution are proved by using the principle of contractive mapping.Thirdly,by using mittag-Leffler function and Gronwall inequality,it is proved that the pseudo almost periodic solution and Stepanov almost periodic solution are finite time stable.Finally,numerical examples are given to verify the validity and rationality of the conclusion.