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Zbl 1170.70009
Baleanu, Dumitru; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.
Fractional Nambu mechanics. (English)
[J] Int. J. Theor. Phys. 48, No. 4, 1044-1052 (2009). ISSN 0020-7748; ISSN 1572-9575/e

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.
MSC 2000:
*70H99 Hamiltonian and Lagrangian mechanics
70G45 Differential-geometric methods
26A33 Fractional derivatives and integrals (real functions)

Keywords: differential forms; exterior derivatives; generalized Pfaffian equations

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