Global Existence and Stability Results for Mild Solutions of Random Impulsive Partial Integro-Differential Equations

Abstract

In this paper, we study the global existence, uniqueness, continuous dependence and exponential stability criteria for random impulsive partial integro-differential equations
under sufficient conditions. The results are obtained by using the Leray-Schauder alternative fixed point theory and Banach Contraction Principle. Finally, an example is given to illustrate our abstract results.