A New Topological Approach to Target the Existence of Solutions for Nonlinear Fractional Impulsive Wave Equations

Abstract

This paper considers a class of fractional impulsive wave equations and improves a previous results. In fact, this paper adopts a new topological approach to prove the existence of classical solutions with a complex arguments caused by impulsive perturbations. To the best of our knowledge, there is a severe lack of results related to such impulsive equations.