Impulsive Fractional Functional Differential Systems and Lyapunov Method for the Existence of Almost Periodic Solutions

In this paper, the existence of almost periodic solutions for a class of impulsive fractional functional differential systems is investigated. The investigations are carried out by using a new fractional comparison principle, coupled with the fractional Lyapunov method. The stability behaviour of the almost periodic solutions is also considered, extending the corresponding theory of impulsive functional differential equations.