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Some existence, uniqueness and stability results of nonlocal random impulsive integro-differential equations

Abstract:

This paper is concerned with random impulsive integro-differential equations with nonlocal conditions. At first, some suffi cient conditions which can guarantee existence and uniqueness of mild solution are derived using Banach fixed point theorem. Secondly, combining with Banach fixed point theorem with some inequality techniques, we give stability of the solution. Finally some examples are given to establish the effectiveness of our results.