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Status已发表Published
TitleAn averaging principle for neutral stochastic fractional order differential equations with variable delays driven by Lévy noise
Creator
Date Issued2022-06-01
Source PublicationStochastics and Dynamics
ISSN0219-4937
Volume22Issue:4
Abstract

In this paper, we establish an averaging principle for neutral stochastic fractional differential equations with non-Lipschitz coefficients and with variable delays, driven by Lévy noise. Our result shows that the solutions of the equations concerned can be approximated by the solutions of averaged neutral stochastic fractional differential equations in the sense of convergence in mean square. As an application, we present an example with numerical simulations to explore the established averaging principle.

KeywordAveraging principle fractional derivative Lévy noise variable delays
DOI10.1142/S0219493722500095
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000810930700007
Scopus ID2-s2.0-85119916017
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/10480
CollectionResearch outside affiliated institution
Corresponding AuthorWu, Jianglun
Affiliation
1.Department of Mathematics,Anhui Normal University,Wuhu,241000,China
2.Department of Mathematics,Computational Foundry,Swansea University,Swansea,SA1 8EN,United Kingdom
Recommended Citation
GB/T 7714
Shen, Guangjun,Wu, Jianglun,Xiao, Ruidonget al. An averaging principle for neutral stochastic fractional order differential equations with variable delays driven by Lévy noise[J]. Stochastics and Dynamics, 2022, 22(4).
APA Shen, Guangjun, Wu, Jianglun, Xiao, Ruidong, & Yin, Xiuwei. (2022). An averaging principle for neutral stochastic fractional order differential equations with variable delays driven by Lévy noise. Stochastics and Dynamics, 22(4).
MLA Shen, Guangjun,et al."An averaging principle for neutral stochastic fractional order differential equations with variable delays driven by Lévy noise". Stochastics and Dynamics 22.4(2022).
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