Stability of a Class of Impulsive Neutral Stochastic Functional Partial Differential Equations
In this paper, a class of impulsive neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion is investigated. Under some suitable assumptions, the pth moment exponential stability is discussed by means of the fixed-point theorem. Our resul...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/9051396 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850167580931653632 |
|---|---|
| author | Yue Liu Dehao Ruan |
| author_facet | Yue Liu Dehao Ruan |
| author_sort | Yue Liu |
| collection | DOAJ |
| description | In this paper, a class of impulsive neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion is investigated. Under some suitable assumptions, the pth moment exponential stability is discussed by means of the fixed-point theorem. Our results also improve and generalize some previous studies. Moreover, one example is given to illustrate our main results. |
| format | Article |
| id | doaj-art-e75f6a030597441a8a780df07cf2954d |
| institution | OA Journals |
| 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-e75f6a030597441a8a780df07cf2954d2025-08-20T02:21:10ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/90513969051396Stability of a Class of Impulsive Neutral Stochastic Functional Partial Differential EquationsYue Liu0Dehao Ruan1School of Economics and Management, Hunan Institute of Technology, Hengyang, Hunan 421000, ChinaGuangzhou International Institute of Finance and Guangzhou University, Guangzhou, Guangdong 510405, ChinaIn this paper, a class of impulsive neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion is investigated. Under some suitable assumptions, the pth moment exponential stability is discussed by means of the fixed-point theorem. Our results also improve and generalize some previous studies. Moreover, one example is given to illustrate our main results.http://dx.doi.org/10.1155/2020/9051396 |
| spellingShingle | Yue Liu Dehao Ruan Stability of a Class of Impulsive Neutral Stochastic Functional Partial Differential Equations Discrete Dynamics in Nature and Society |
| title | Stability of a Class of Impulsive Neutral Stochastic Functional Partial Differential Equations |
| title_full | Stability of a Class of Impulsive Neutral Stochastic Functional Partial Differential Equations |
| title_fullStr | Stability of a Class of Impulsive Neutral Stochastic Functional Partial Differential Equations |
| title_full_unstemmed | Stability of a Class of Impulsive Neutral Stochastic Functional Partial Differential Equations |
| title_short | Stability of a Class of Impulsive Neutral Stochastic Functional Partial Differential Equations |
| title_sort | stability of a class of impulsive neutral stochastic functional partial differential equations |
| url | http://dx.doi.org/10.1155/2020/9051396 |
| work_keys_str_mv | AT yueliu stabilityofaclassofimpulsiveneutralstochasticfunctionalpartialdifferentialequations AT dehaoruan stabilityofaclassofimpulsiveneutralstochasticfunctionalpartialdifferentialequations |