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.
Citation
Xichao Sun. Zhi Wang. Jing Cui. "On a Fractional SPDE Driven by Fractional Noise and a Pure Jump Lévy Noise in ." Abstr. Appl. Anal. 2014 (SI35) 1 - 10, 2014. https://doi.org/10.1155/2014/758270