On initial value problem of random fractional differential equation with impulses

Year 2020, Volume: 49 Issue: 1, 282 - 293, 06.02.2020

Vu Ho , Hoa Ngo

https://doi.org/10.15672/hujms.546989

Cited By: 8

https://izlik.org/JA85AH26BM

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

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