Fractional Variations for Dynamical Systems: Hamilton and Lagrange Approaches

Physics – Mathematical Physics

Scientific paper

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21 pages, LaTeX

Scientific paper

10.1088/0305-4470/39/26/009

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.

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