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On initial value problem of random fractional differential equation with impulsive

Authors: 

Ho Vu, Ngo Van Hoa

Source title: 
Hacettepe Journal of Mathematics and Statistics, pp. 1-12, 2019 (ISI)
Academic year of acceptance: 
2018-2019
Abstract: 

In this paper, we prove the existence and uniqueness of solution for random fractional differential equation with impulses via Banach fixed point theorem and Schauder fixed point theorem. Moreover, the continuous dependence of the solution on the initial data is investigated.