Abstract and Applied Analysis

On a Fractional SPDE Driven by Fractional Noise and a Pure Jump Lévy Noise in d

Xichao Sun, Zhi Wang, and Jing Cui

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Abstract

We study a stochastic partial differential equation in the whole space x d , 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.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 758270, 10 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412606746

Digital Object Identifier
doi:10.1155/2014/758270

Mathematical Reviews number (MathSciNet)
MR3208564

Zentralblatt MATH identifier
07023027

Citation

Sun, Xichao; Wang, Zhi; Cui, Jing. On a Fractional SPDE Driven by Fractional Noise and a Pure Jump Lévy Noise in ${\Bbb R}^{d}$. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 758270, 10 pages. doi:10.1155/2014/758270. https://projecteuclid.org/euclid.aaa/1412606746


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