Existence of Solutions for Random Impulsive Differential Equation with Nonlocal Conditions

A study on the mild solution of special random impulsive fractional differential equations

“…The solutions of the random impulsive differential equations are a stochastic process. Now a day, the characteristics of solutions to some integer order differential equations with random impulses have been analysed [25,2,15,28]. Anguraj et al [2] established the existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness.…”

“…Sayooj et al [17] have studied some characteristics of random integro differential equations with non local conditions. In [16,18,19], the author found sufficient conditions for the existence as well as stability of special random impulsive differential system with non local conditions using contraction mapping principle and continuous dependence on initial conditions. Now a days, fractional calculus has a lot of advanced research work has been done.…”