Stochastic Fractional HP Equations
arXiv:0906.4510
Abstract
In this paper we established the condition for a curve to satisfy stochas- tic fractional HP (Hamilton-Pontryagin) equations. These equations are described using It^o integral. We have also considered the case of stochastic fractional Hamiltonian equa- tions, for a hyperregular Lagrange function. From the stochastic fractional Hamiltonian equations, Langevin fractional equations were found and numerical simulations were done.
10 pages, 6 figures will be presented at "Symposium of Fractional Signals and Systems", Lisabona, 4-6 November, 2009
References in corpus (5)
- A Formulation of Noether's Theorem for Fractional Problems of the Calculus of Variations
- Stochastic Variational Integrators
- Fractional Variations for Dynamical Systems: Hamilton and Lagrange Approaches
- Mathematical analysis of stochastic models for tumor-immune systems
- Mathematical pendulum and its variants