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Status已发表Published
TitleStochastic Averaging Principle for Two-Time-Scale SDEs with Distribution-Dependent Coefficients Driven by Fractional Brownian Motion
Creator
Date Issued2023
Source PublicationCommunications in Mathematics and Statistics
ISSN2194-6701
Abstract

In this paper, we derive an averaging principle for a fast–slow system of stochastic differential equations (SDEs) involving distribution-dependent coefficients driven by both fractional Brownian motion (fBm) and standard Brownian motion (Bm). We first establish the existence and uniqueness of solutions of the fast–slow system and the corresponding averaging equation. Then, we show that the slow component strongly converges to the solution of the associated averaged equation.

KeywordAveraging principle Fast–slow systems Fractional Brownian motion Standard Brownian motion
DOI10.1007/s40304-023-00364-4
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:001168400100001
Scopus ID2-s2.0-85174033423
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/10944
CollectionBeijing Normal-Hong Kong Baptist University
Affiliation
1.Department of Mathematics,Anhui Normal University,Wuhu,241002,China
2.Department of Mathematics,Computational Foundry,Swansea University,Swansea,SA1 8EN,United Kingdom
3.Faculty of Science and Technology,BNU-HKBU United International College,Zhuhai,519087,China
Recommended Citation
GB/T 7714
Shen, Guangjun,Yin, Jiayuan,Wu, Jianglun. Stochastic Averaging Principle for Two-Time-Scale SDEs with Distribution-Dependent Coefficients Driven by Fractional Brownian Motion[J]. Communications in Mathematics and Statistics, 2023.
APA Shen, Guangjun, Yin, Jiayuan, & Wu, Jianglun. (2023). Stochastic Averaging Principle for Two-Time-Scale SDEs with Distribution-Dependent Coefficients Driven by Fractional Brownian Motion. Communications in Mathematics and Statistics.
MLA Shen, Guangjun,et al."Stochastic Averaging Principle for Two-Time-Scale SDEs with Distribution-Dependent Coefficients Driven by Fractional Brownian Motion". Communications in Mathematics and Statistics (2023).
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