Advances in Difference Equations
Volume 2011 (2011), Article ID 526472, 12 pages
doi:10.1155/2011/526472
Research Article
Fractional Odd-Dimensional Mechanics
1Department of Physics, Islamic Azad University, Mahabad Branch, 591393-3137 Mahabad, Iran
2Department of Physics, Islamic Azad University, Urmia Branch, P.O. Box 969, Uromiyeh, Iran
3Department of Mathematics and Computer Science, Cankaya University, 06530 Ankara, Turkey
4Institute of Space Sciences, P.O. Box, MG-23, 76900 Magurele-Bucharest, Romania
5Faculty of Physics, University of Bucharest, 76900 Bucharest, Romania
6National Mihail Sadoveanu High school, District 2, Bucharest, Romania
Received 28 August 2010; Accepted 26 October 2010
Academic Editor: J. J. Trujillo
Copyright © 2011 Ali Khalili Golmankhaneh et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.