Transportation Inequalities for Coupled Fractional Stochastic Evolution Equations Driven by Fractional Brownian Motion
In this paper, we consider the existence and uniqueness of the mild solution for a class of coupled fractional stochastic evolution equations driven by the fractional Brownian motion with the Hurst parameter H∈1/4,1/2. Our approach is based on Perov’s fixed-point theorem. Furthermore, we establish t...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/8213976 |
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| _version_ | 1832568128616267776 |
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| author | Wentao Zhan Yuanyuan Jing Liping Xu Zhi Li |
| author_facet | Wentao Zhan Yuanyuan Jing Liping Xu Zhi Li |
| author_sort | Wentao Zhan |
| collection | DOAJ |
| description | In this paper, we consider the existence and uniqueness of the mild solution for a class of coupled fractional stochastic evolution equations driven by the fractional Brownian motion with the Hurst parameter H∈1/4,1/2. Our approach is based on Perov’s fixed-point theorem. Furthermore, we establish the transportation inequalities, with respect to the uniform distance, for the law of the mild solution. |
| format | Article |
| id | doaj-art-1bf174f8ae334781ae1b1c31ae371c34 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-1bf174f8ae334781ae1b1c31ae371c342025-02-03T00:59:42ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/82139768213976Transportation Inequalities for Coupled Fractional Stochastic Evolution Equations Driven by Fractional Brownian MotionWentao Zhan0Yuanyuan Jing1Liping Xu2Zhi Li3School of Information and Mathematics, Yangtze University, Jingzhou 434023, ChinaSchool of Information and Mathematics, Yangtze University, Jingzhou 434023, ChinaSchool of Information and Mathematics, Yangtze University, Jingzhou 434023, ChinaSchool of Information and Mathematics, Yangtze University, Jingzhou 434023, ChinaIn this paper, we consider the existence and uniqueness of the mild solution for a class of coupled fractional stochastic evolution equations driven by the fractional Brownian motion with the Hurst parameter H∈1/4,1/2. Our approach is based on Perov’s fixed-point theorem. Furthermore, we establish the transportation inequalities, with respect to the uniform distance, for the law of the mild solution.http://dx.doi.org/10.1155/2020/8213976 |
| spellingShingle | Wentao Zhan Yuanyuan Jing Liping Xu Zhi Li Transportation Inequalities for Coupled Fractional Stochastic Evolution Equations Driven by Fractional Brownian Motion Discrete Dynamics in Nature and Society |
| title | Transportation Inequalities for Coupled Fractional Stochastic Evolution Equations Driven by Fractional Brownian Motion |
| title_full | Transportation Inequalities for Coupled Fractional Stochastic Evolution Equations Driven by Fractional Brownian Motion |
| title_fullStr | Transportation Inequalities for Coupled Fractional Stochastic Evolution Equations Driven by Fractional Brownian Motion |
| title_full_unstemmed | Transportation Inequalities for Coupled Fractional Stochastic Evolution Equations Driven by Fractional Brownian Motion |
| title_short | Transportation Inequalities for Coupled Fractional Stochastic Evolution Equations Driven by Fractional Brownian Motion |
| title_sort | transportation inequalities for coupled fractional stochastic evolution equations driven by fractional brownian motion |
| url | http://dx.doi.org/10.1155/2020/8213976 |
| work_keys_str_mv | AT wentaozhan transportationinequalitiesforcoupledfractionalstochasticevolutionequationsdrivenbyfractionalbrownianmotion AT yuanyuanjing transportationinequalitiesforcoupledfractionalstochasticevolutionequationsdrivenbyfractionalbrownianmotion AT lipingxu transportationinequalitiesforcoupledfractionalstochasticevolutionequationsdrivenbyfractionalbrownianmotion AT zhili transportationinequalitiesforcoupledfractionalstochasticevolutionequationsdrivenbyfractionalbrownianmotion |