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

Stochastic generalized fractional HP equations and applications