Fractional Variations for Dynamical Systems: Hamilton and Lagrange Approaches
Mathematical Physics
2009-11-11 v1 math.MP
Abstract
Fractional generalization of an exterior derivative for calculus of variations is defined. The Hamilton and Lagrange approaches are considered. Fractional Hamilton and Euler-Lagrange equations are derived. Fractional equations of motion are obtained by fractional variation of Lagrangian and Hamiltonian that have only integer derivatives.
Cite
@article{arxiv.math-ph/0606048,
title = {Fractional Variations for Dynamical Systems: Hamilton and Lagrange Approaches},
author = {Vasily E. Tarasov},
journal= {arXiv preprint arXiv:math-ph/0606048},
year = {2009}
}
Comments
21 pages, LaTeX