Fractional Variations for Dynamical Systems: Hamilton and Lagrange Approaches
arXiv:math-ph/0606048 · doi:10.1088/0305-4470/39/26/009
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.
21 pages, LaTeX
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