Well-posedness of stochastic third grade fluid equation

In this paper, we establish the well-posedness for third grade fluid equation perturbed by a multiplicative white noise. This describes motion of non-Newtonian differential type with relevant viscoelastic properties. We are faced strongly nonlinear stochastic partial supplemented Navier slip boundary condition. Taking initial condition in Sobolev space H2, show existence and uniqueness strong (in probability sense) solution two dimensional non axisymmetric bounded domain.