On a fractional SPDE driven by fractional noise and a pure jump Lévy noise in \(\mathbb{R}^d\)
type: Item
instance of: scholarly article
title: On a fractional SPDE driven by fractional noise and a pure jump Lévy noise in \(\mathbb{R}^d\)
zbMATH Open document ID: 1474.60166
DOI: 10.1155/2014/758270
author: Xichao Sun
author: Zhi Wang
author: Jing Cui
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 60J76
zbMATH DE Number: 7023027
Wikidata QID: Q59041278
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/758270
OpenAlex ID: W2065746882
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description: scientific article; zbMATH DE number 7023027