## Abstract and Applied Analysis

### On a Fractional SPDE Driven by Fractional Noise and a Pure Jump Lévy Noise in ${\Bbb R}^{d}$

#### Abstract

We study a stochastic partial differential equation in the whole space $x\in {\Bbb R}^{d}$, with arbitrary dimension $d\ge 1$, 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

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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