Stochastic Fractional HP Equations

Details Stochastic Fractional HP Equations Stochastic Fractional HP Equations

2009-06-24

arxiv.org/abs/0906.4510v1

Mathematics

Differential Geometry

10 pages, 6 figures will be presented at "Symposium of Fractional Signals and Systems", Lisabona, 4-6 November, 2009

Scientific paper

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.

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