Status | 已发表Published |
Title | Stochastic Averaging Principle for Two-Time-Scale SDEs with Distribution-Dependent Coefficients Driven by Fractional Brownian Motion |
Creator | |
Date Issued | 2023 |
Source Publication | Communications in Mathematics and Statistics
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ISSN | 2194-6701 |
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. |
Keyword | Averaging principle Fast–slow systems Fractional Brownian motion Standard Brownian motion |
DOI | 10.1007/s40304-023-00364-4 |
URL | View source |
Indexed By | SCIE |
Language | 英语English |
WOS Research Area | Mathematics |
WOS Subject | Mathematics |
WOS ID | WOS:001168400100001 |
Scopus ID | 2-s2.0-85174033423 |
Citation statistics | |
Document Type | Journal article |
Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/10944 |
Collection | Beijing 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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