On a fractional SPDE driven by fractional noise and a pure jump Lévy noise in \(\mathbb{R}^d\)
Summary: We study a stochastic partial differential equation in the whole space \(x \in \mathbb{R}^d\), with arbitrary dimension \(d \geq 1\), 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.
scientific article; zbMATH DE number 7023027
scientific article