English

Stochastic generalized fractional HP equations and applications

Dynamical Systems 2009-09-01 v1

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.

Keywords

Cite

@article{arxiv.0908.4401,
  title  = {Stochastic generalized fractional HP equations and applications},
  author = {I. D. Albu and M. Neamtu and D. Opris},
  journal= {arXiv preprint arXiv:0908.4401},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T13:40:23.173Z