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

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.

Automated summary

In this paper, we discuss the concept of pseudo almost automorphic solutions to fractional neutral differential equations with impulses using measure theory. Our main results are obtained through semigroup theory, Krasnoselskii's fixed point theorem, and the properties of measure theory. An example is given to illustrate the developed ideas in this work.