Asymptotically Almost Automorphic Mild Solutions for Semilinear Integro-differential Evolution Equations

Abstract

The existence of asymptotically almost automorphic mild solution to some classes of for a class of  integro-differential equations isinvestigated in this paper. We establish the existence findings by using Monch’s fixed point theorem and the concept of measures of non-compactness.   Finally, an example is provided to demonstrate the outcomes that were obtained.