An Averaging Principle for Mckean–Vlasov-Type Caputo Fractional Stochastic Differential Equations
In this paper, we want to establish an averaging principle for Mckean–Vlasov-type Caputo fractional stochastic differential equations with Brownian motion. Compared with the classic averaging condition for stochastic differential equation, we propose a new averaging condition and obtain the averagin...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/8742330 |
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| author | Weifeng Wang Lei Yan Junhao Hu Zhongkai Guo |
| author_facet | Weifeng Wang Lei Yan Junhao Hu Zhongkai Guo |
| author_sort | Weifeng Wang |
| collection | DOAJ |
| description | In this paper, we want to establish an averaging principle for Mckean–Vlasov-type Caputo fractional stochastic differential equations with Brownian motion. Compared with the classic averaging condition for stochastic differential equation, we propose a new averaging condition and obtain the averaging convergence results for Mckean–Vlasov-type Caputo fractional stochastic differential equations. |
| format | Article |
| id | doaj-art-a5f3d24dbb70469981ba247894a87260 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-a5f3d24dbb70469981ba247894a872602025-02-03T07:24:24ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/87423308742330An Averaging Principle for Mckean–Vlasov-Type Caputo Fractional Stochastic Differential EquationsWeifeng Wang0Lei Yan1Junhao Hu2Zhongkai Guo3School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, ChinaSchool of General Quality Education, Wuchang University of Technology, Wuhan 430223, ChinaSchool of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, ChinaSchool of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, ChinaIn this paper, we want to establish an averaging principle for Mckean–Vlasov-type Caputo fractional stochastic differential equations with Brownian motion. Compared with the classic averaging condition for stochastic differential equation, we propose a new averaging condition and obtain the averaging convergence results for Mckean–Vlasov-type Caputo fractional stochastic differential equations.http://dx.doi.org/10.1155/2021/8742330 |
| spellingShingle | Weifeng Wang Lei Yan Junhao Hu Zhongkai Guo An Averaging Principle for Mckean–Vlasov-Type Caputo Fractional Stochastic Differential Equations Journal of Mathematics |
| title | An Averaging Principle for Mckean–Vlasov-Type Caputo Fractional Stochastic Differential Equations |
| title_full | An Averaging Principle for Mckean–Vlasov-Type Caputo Fractional Stochastic Differential Equations |
| title_fullStr | An Averaging Principle for Mckean–Vlasov-Type Caputo Fractional Stochastic Differential Equations |
| title_full_unstemmed | An Averaging Principle for Mckean–Vlasov-Type Caputo Fractional Stochastic Differential Equations |
| title_short | An Averaging Principle for Mckean–Vlasov-Type Caputo Fractional Stochastic Differential Equations |
| title_sort | averaging principle for mckean vlasov type caputo fractional stochastic differential equations |
| url | http://dx.doi.org/10.1155/2021/8742330 |
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