Find in Library
Search millions of books, articles, and more
Indexed Open Access Databases
Periodic averaging method for impulsive stochastic dynamical systems driven by fractional Brownian motion under non-Lipschitz condition
oleh: Anas Dheyab Khalaf, Mahmoud Abouagwa, Xiangjun Wang
Format: | Article |
---|---|
Diterbitkan: | SpringerOpen 2019-12-01 |
Deskripsi
Abstract This paper presents the periodic averaging principle for impulsive stochastic dynamical systems driven by fractional Brownian motion (fBm). Under non-Lipschitz condition, we prove that the solutions to impulsive stochastic differential equations (ISDEs) with fBm can be approximated by the solutions to averaged SDEs without impulses both in the sense of mean square and probability. Finally, an example is provided to illustrate the theoretical results.