Almost Periodic Solutions Of Two Kinds Of Fractional-Order Quaternion-Valued Differential Equations

In this paper,the existence and asymptotic synchronization of almost periodic solutions for a class of fractional order quaternion-valued BAM neural networks and the existence and finite time stability of pseudo-almost periodic solutions for a class of fractional order quaternion-valued neural networks are studied.First of all,sufficient conditions for the existence of almost periodic solutions of fractional order quaternion-valued BAM neural network is obtained based on the contraction mapping theorem,by constructing suitable lyapunov function of the drive system and response system are studied asymptotical synchronization;Then,a sufficient condition for the existence of pseudo-almost periodic solution of fractional order quaternion-valued neural network is obtained according to the contraction mapping theorem,The finite time stability of the solution is studied by using inequality technique.Then,we give numerical examples to illustrate the validity of our results.Finally,we give the conclusion and prospect.