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Research Papers: Mathematical Theory

Fractional Constrained Systems and Caputo Derivatives

[+] Author and Article Information
Dumitru Baleanu

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

J. Comput. Nonlinear Dynam 3(2), 021102 (Jan 28, 2008) (4 pages) doi:10.1115/1.2833586 History: Received June 05, 2007; Revised August 07, 2007; Published January 28, 2008

During the last few years, remarkable developments have been made in the theory of the fractional variational principles and their applications to control problems and fractional quantization issue. The variational principles have been used in physics to construct the phase space of a fractional dynamical system. Based on the Caputo derivatives, the fractional dynamics of discrete constrained systems is presented and the notion of the reduced phase space is discussed. Two examples of discrete constrained system are analyzed in detail.

Copyright © 2008 by American Society of Mechanical Engineers
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