On a Fractional SPDE Driven by Fractional Noise and a Pure Jump Lévy Noise in ℝd
We study a stochastic partial differential equation in the whole space x∈ℝd, with arbitrary dimension d≥1, driven by fractional noise and a pure jump Lévy space-time white noise. Our equation involves a fractional derivative operator. Under some suitable assumptions, we establish the existence and u...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/758270 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551958036086784 |
|---|---|
| author | Xichao Sun Zhi Wang Jing Cui |
| author_facet | Xichao Sun Zhi Wang Jing Cui |
| author_sort | Xichao Sun |
| collection | DOAJ |
| description | We study a stochastic partial differential equation in the
whole space x∈ℝd, with arbitrary dimension d≥1, driven by fractional noise and a
pure jump Lévy space-time white noise. Our equation involves a fractional derivative
operator. Under some suitable assumptions, we establish the existence and uniqueness
of the global mild solution via fixed point principle. |
| format | Article |
| id | doaj-art-7a30022531f4454096c05ba34c021508 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7a30022531f4454096c05ba34c0215082025-02-03T06:00:03ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/758270758270On a Fractional SPDE Driven by Fractional Noise and a Pure Jump Lévy Noise in ℝdXichao Sun0Zhi Wang1Jing Cui2Department of Mathematics and Physics, Bengbu College, 1866 Caoshan Road, Bengbu, Anhui 233030, ChinaDepartment of Mathematics, Donghua University, 2999 North Renmin Road, Songjiang, Shanghai 201620, ChinaDepartment of Mathematics, Anhui Normal University, 1 East Beijing Road, Wuhu 241000, ChinaWe study a stochastic partial differential equation in the whole space x∈ℝd, with arbitrary dimension d≥1, driven by fractional noise and a pure jump Lévy space-time white noise. Our equation involves a fractional derivative operator. Under some suitable assumptions, we establish the existence and uniqueness of the global mild solution via fixed point principle.http://dx.doi.org/10.1155/2014/758270 |
| spellingShingle | Xichao Sun Zhi Wang Jing Cui On a Fractional SPDE Driven by Fractional Noise and a Pure Jump Lévy Noise in ℝd Abstract and Applied Analysis |
| title | On a Fractional SPDE Driven by Fractional Noise and a Pure Jump Lévy Noise in ℝd |
| title_full | On a Fractional SPDE Driven by Fractional Noise and a Pure Jump Lévy Noise in ℝd |
| title_fullStr | On a Fractional SPDE Driven by Fractional Noise and a Pure Jump Lévy Noise in ℝd |
| title_full_unstemmed | On a Fractional SPDE Driven by Fractional Noise and a Pure Jump Lévy Noise in ℝd |
| title_short | On a Fractional SPDE Driven by Fractional Noise and a Pure Jump Lévy Noise in ℝd |
| title_sort | on a fractional spde driven by fractional noise and a pure jump levy noise in rd |
| url | http://dx.doi.org/10.1155/2014/758270 |
| work_keys_str_mv | AT xichaosun onafractionalspdedrivenbyfractionalnoiseandapurejumplevynoiseinrd AT zhiwang onafractionalspdedrivenbyfractionalnoiseandapurejumplevynoiseinrd AT jingcui onafractionalspdedrivenbyfractionalnoiseandapurejumplevynoiseinrd |