Anticipative backward stochastic differential equations driven by fractional Brownian motion

We study the anticipative backward stochastic differential equations (BSDEs, for short) driven by fractional Brownian motion with Hurst parameter H greater than 1/2. The stochastic integral used throughout the paper is the divergence operator type integral. We obtain the existence and uniqueness theorem to these equations under the Lipschitz condition. A comparison theorem for this type of anticipative BSDEs is also established.