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báo cáo hóa học:" Research Article Fractional Odd-Dimensional Mechanics"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Fractional Odd-Dimensional Mechanics | Hindawi Publishing Corporation Advances in Difference Equations Volume 2011 Article ID 526472 12 pages doi 10.1155 2011 526472 Research Article Fractional Odd-Dimensional Mechanics Ali Khalili Golmankhaneh 1 Alireza Khalili Golmankhaneh 2 Dumitru Baleanu 3 4 and Mihaela Cristina Baleanu5 6 1 Department of Physics Islamic Azad University Mahabad Branch 591393-3137 Mahabad Iran 2 Department of Physics Islamic Azad University Urmia Branch P.O. Box 969 Uromiyeh Iran 3 Department of Mathematics and Computer Science Cankaya University 06530 Ankara Turkey 4 Institute of Space Sciences P.O. Box MG-23 76900 Magurele-Bucharest Romania 5 Faculty of Physics University of Bucharest 76900 Bucharest Romania 6 National Mihail Sadoveanu High school District 2 Bucharest Romania Correspondence should be addressed to Dumitru Baleanu dumitru@cankaya.edu.tr 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. 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. 1. Introduction Derivatives and integrals of fractional-order have found many applications in recent studies in mechanics and physics for example in chaotic dynamics quantum mechanics plasma physics anomalous diffusion and so many fields of physics 1-12 . Fractional mechanics describes both conservative and nonconservative systems 13 14 . In mechanics Riewe has shown that .