Impulsive Fractional Integrodifferential Equations and Lyapunov Method for Existence of Almost Periodic Solutions

Abstract EN

The plan of this paper is to find conditions for the existence of almost periodic solutions for a class of impulsive fractional integrodifferential equations.

The investigations are carried out by using a new fractional comparison principle, coupled with the fractional Lyapunov method.

The stability behavior of the almost periodic solutions is also considered, extending the corresponding theory of impulsive integrodifferential equations.