![](/images/graphics-bg.png)
Regularity of a Stochastic Fractional Delayed Reaction-Diffusion Equation Driven by Lévy Noise
Joint Authors
Huang, Jianhua
Li, Jin
Shen, Tianlong
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-24
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The current paper is devoted to the regularity of the mild solution for a stochastic fractional delayed reaction-diffusion equation driven by Lévy space-time white noise.
By the Banach fixed point theorem, the existence and uniqueness of the mild solution are proved in the proper working function space which is affected by the delays.
Furthermore, the time regularity and space regularity of the mild solution are established respectively.
The main results show that both time regularity and space regularity of the mild solution depend on the regularity of initial value and the order of fractional operator.
In particular, the time regularity is affected by the regularity of initial value with delays.
American Psychological Association (APA)
Shen, Tianlong& Huang, Jianhua& Li, Jin. 2013. Regularity of a Stochastic Fractional Delayed Reaction-Diffusion Equation Driven by Lévy Noise. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-499659
Modern Language Association (MLA)
Shen, Tianlong…[et al.]. Regularity of a Stochastic Fractional Delayed Reaction-Diffusion Equation Driven by Lévy Noise. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-499659
American Medical Association (AMA)
Shen, Tianlong& Huang, Jianhua& Li, Jin. Regularity of a Stochastic Fractional Delayed Reaction-Diffusion Equation Driven by Lévy Noise. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-499659
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499659