Viability for stochastic differential equations driven by fractional   Brownian motion
  In this paper we prove a viability result for multidimensional, time dependent, stochastic differential equations driven by fractional Brownian motion with Hurst parameter1/2 < H < 1, using pathwise approach. The sufficient condition is also an alternative global existence result for the fractional differential equations with restrictions on the state. 
Ioana Ciotir and Aurel Rascanu