Qualitative Analysis On Aimost Automorphic Solutions Of Several Kinds Of Differential Equations

In this article,we consider the existence and global exponential stability of S~P almost automorphic solutions to Octonion-valued cellular fuzzy neural networks,the existence and finite-time stability of S~P almost automorphic solutions to Octonion-valued fractional cellular fuzzy neural networks.Unlike most previous studies of Octonion-valued neural networks.This is we do to say,we do not decompose the systems under consideration into real-valued,but rather directly study Octonion-valued systems.Then by using the Banach fixed point theorem;we establish sufficient conditions ensuring the existence,the uniqueness,the global exponential stability and the finite-time stability of S~P-almost automorphic solutions for the considered neural networks.Finally,we give some examples to illustrate the effectiveness of the obtained results.