Measure pseudo almost automorphic solution to second order fractional impulsive neutral differential equation

Abstract

We discuss the concept of pseudo almost automorphic solution to fractional neutral differential equation with impulses using measure theory. Our principal results are obtained via semigroup theory and the fixed point theorem due to Krasnoselskii and their combination with the properties of measure theory. An example is provided to outline the thought developed on this work.

Keywords

• measure theory
• measure-pseudo almost automorphic functions
• fractional differential equation
• impulsive conditions