- Hacettepe Journal of Mathematics and Statistics
- Volume:49 Issue:1
- On initial value problem of random fractional differential equation with impulses
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 : 15 | Download : 4
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