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Research Papers

On Fractional Dynamics on the Extended Phase Space

[+] Author and Article Information
Dumitru Baleanu1

Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Çankaya University, Balgat, Ankara 06530, Turkey; Institute of Space Sciences, P.O. BOX MG-23, Magurele-Bucharest R 76900, Romaniadumitru@cankaya.edu.tr

Sami I. Muslih

Department of Mechanical Engineering, Southern Illinois University, Carbondale, IL 62901smuslih@ictp.it

Eqab M. Rabei

Department of Physics, Al al-Bayt University, P.O. Box 130040, Mafraq 25113, Jordaneqabrabei@yahoo.com

Alireza K. Golmankhaneh

Department of Physics, University of Pune, Pune 411007, India; Department of Physics, Islamic Azad University—Oromiyeh Branch, P.O. Box 969, Oromiyeh 14487, Iranalireza@physics.unipune.ernet.in

Ali K. Golmankhaneh

Department of Physics, Islamic Azad University—Oromiyeh Branch, P.O. Box 969, Iranali.khalili.gol@gmail.com

1

Corresponding author.

J. Comput. Nonlinear Dynam 5(4), 041011 (Aug 12, 2010) (4 pages) doi:10.1115/1.4002091 History: Received June 08, 2009; Revised August 20, 2009; Published August 12, 2010; Online August 12, 2010

Fractional calculus should be applied to various dynamical systems in order to be validated in practice. On this line of taught, the fractional extension of the classical dynamics is introduced. The fractional Hamiltonian on the extended phase space is analyzed and the corresponding generalized Poisson’s brackets are constructed.

Copyright © 2010 by American Society of Mechanical Engineers
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