Department of Mathematics


  •  Soukaina Douissi , Cadi Ayyad University, Marrakech, Morocco
  •  Mean-field anticipated BSDEs driven by fractional Brownian motion and related stochastic control problem
  •  11/29/2018
  •  3:00 PM - 3:50 PM
  •  C405 Wells Hall

In this talk, we introduce a new type of BSDEs, we call it mean-field anticipated backward stochastic differential equations (MF-BSDEs, for short) driven by a fractional Brownian motion with Hurst parameter H>1/2. We will show that it's possible to prove the existence and uniqueness of this new type of BSDEs using two different approaches. Then, we will present a comparison theorem for such BSDEs. Finally, as an application of this type of equations, a related stochastic optimal control problem is studied. This is a joint work with Yufeng Shi and Jiaqiang Wen : Institute for Financial Studies and School of Mathematics, Shandong University, Jinan 250100, China.



Department of Mathematics
Michigan State University
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