Stochastic generalized fractional HP equations and applications
arXiv:0908.4401
Abstract
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.
14 pages, 10 figures, the paper will be presented at The International Conference of Differential Geometry and Dynamical Systems DGDS-2009/October 8-11, 2009, University Politehnica of Bucharest, Romania