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

Xichao Sun, Zhi Wang and Jing Cui

Abstract and Applied Analysis, 2014, vol. 2014, 1-10

Abstract:

We study a stochastic partial differential equation in the whole space , with arbitrary dimension , 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:758270

DOI: 10.1155/2014/758270

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