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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