Stochastic generalized fractional HP equations and applications

Mathematics – Dynamical Systems

Scientific paper

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14 pages, 10 figures, the paper will be presented at The International Conference of Differential Geometry and Dynamical Syste

Scientific paper

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.

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