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Jing  Zou
Jing Zou

Public Documents 1
The existence and averaging principle for stochastic fractional differential equation...
Jing  Zou
Danfeng Luo

Jing Zou

and 2 more

May 28, 2022
In this paper, a class of stochastic fractional differential equations (SFDEs) with impulses is considered. By virtue of the Monch’s fixed point theorem and Banach contraction principle, we explore the existence and uniqueness of solutions to the addressed system. Furthermore, with the aid of the Jensen’s inequality, Holder inequality, Burkholder-Davis-Gundy inequality, Gronwall-Bellman inequality and some novel assumptions, the averaging principle of our considered system is obtained. At the end of this paper, an example is provided to illustrate the theoretical results.

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