On initial value problem of random fractional differential equation with impulses

Authors : Vu HO, Hoa NGO

Pages : 282-293

Doi:10.15672/hujms.546989

View : 23 | Download : 11

Publication Date : 2020-02-06

Article Type : Research Paper

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.
Keywords : Random fractional differential equation with impulses, second order stochastic processes, mean square continuous solution