Stochastic lattice dynamical systems with fractional noise
  This article is devoted to study stochastic lattice dynamical systems driven by a fractional Brownian motion with Hurst parameter $H\in(1/2,1)$. First of all, we investigate the existence and uniqueness of pathwise mild solutions to such systems by the Young integration setting and prove that the solution generates a random dynamical system. Further, we analyze the exponential stability of the trivial solution. 
Hakima Bessaih, Mar\'ia J. Garrido-Atienza, Xiaoying Han, Bj\"orn   Schmalfu\ss
math.AP