,Sobolev-type Fractional Stochastic Differential Equations Driven by Fractional Brownian Motion with

• 作 者: ZHAN Wentao LI Zhi
• 机 构: School of Information and Mathematics, Yangtze University, Jingzhou 434023,China
• 出 处: 偏微分方程（英文版）
• 发表日期: 2019年2期
• 关键词: Fractional Sobolev-type stochastic differential equations fractional Brownian mo

In this paper,we are conceed with the existence and uniqueness of mild solution for a class of nonlinear fractional Sobolev-type stochastic differential equations driven by fractional Brownian motion with Hurst parameter H∈ (1/2,1) in Hilbert space.We obtain the required result by using semigroup theory,stochastic analysis principle,fractional calculus and Picard iteration techniques with some non-Lipschitz conditions.