Optimal control of forward-backward stochastic Volterra equations
  We study the problem of optimal control of a coupled system of forward-backward stochastic Volterra equations. We use Hida-Malliavin calculus to prove a sufficient and a necessary maximum principle for the optimal control of such systems. Existence and uniqueness of backward stochastic Volterra integral equations are proved. As an application of our methods, we solve a recursive utility optimisation problem in a financial model with memory. 
Nacira Agram, Bernt {\O}ksendal and Samia Yakhlef
math.OC