Neutral Fractional Stochastic Differential Equations Driven by Rosenblatt Process

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Fractional neutral SDEs Rosenblatt process existence and uniqueness
• 年，卷（期）: 2018,（2）
• 页码范围: 159-176
• 页数: 18页
• 分类号: O211.63|O175.2
• 语种: 英文
• DOI: 10.4208/jpde.v31.n2.3

摘要

In this paper,we are concerned with a class of neutral fractional stochastic partial differential equations driven by a Rosenblatt process.By the stochastic analysis technique,the properties of operator semigroup and combining the Banach fixed-point theorem,we prove the existence and uniqueness of the mild solutions to this kind of equations driven by Rosenblatt process.In the end,an example is given to demonstrate the theory of our work.