  In this paper we established the condition for a curve to satisfy stochastic
generalized fractional HP (Hamilton-Pontryagin) equations. These equations are
described using Ito integral. We have also considered the case of stochastic
generalized fractional Hamiltonian equations, for a hyperregular Lagrange
function. From the stochastic generalized fractional Hamiltonian equations,
Langevin generalized fractional equations were found and numerical simulations
were done.
