Existence, uniqueness, and Hyers-Ulam stability of abstract neutral differential equation containing state-dependent fractional integrable impulses

Abstract

This article focuses on the existence, uniqueness as well as regularity of solution of abstract neutral differential equation containing state-dependent fractional integrable impulses. Furthermore, we also examine Hyers-Ulam stability using the properties of analytic semigroup, abstract Gr önwall lemma and fixed point technique. An example is presented at the end.