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Fractional Nambu mechanics. (English) Zbl 1170.70009
Summary: The fractional generalization of Nambu mechanics is constructed by using differential forms and exterior derivatives of fractional orders. The generalized Pfaffian equations are obtained, and an example is investigated in details.
70H99Hamiltonian and Lagrangian mechanics
70G45Differential-geometric methods for dynamical systems
26A33Fractional derivatives and integrals (real functions)
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