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Fractional Odd-Dimensional Mechanics

Ali Khalili Golmankhaneh, Alireza Khalili Golmankhaneh, Dumitru Baleanu and 1 more

Advances in Difference Equations · 2011

doi:10.1155/2011/526472 (opens in a new tab)

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Abstract

The classical Nambu mechanics is generalized to involve fractional derivatives using two different methods. The first method is based on the definition of fractional exterior derivative and the second one is based on extending the standard velocities to the fractional ones. Fractional Nambu mechanics may be used for nonintegrable systems with memory. Further, Lagrangian which is generate fractional Nambu equations is defined.

Abstract licence: CC BY

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