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About Fractional Calculus of Singular Lagrangians
Dumitru Baleanu*,**
*Department of Mathematics and Computer Sciences, Çankaya University, Balgat 06530, Ankara, Turkey
**Institute of Space Sciences, P.O. BOX MG-23, R-76900 Magurele, Bucharest, Romania
Received:November 2, 2004Accepted:January 15, 2005Published:July 20, 2005
Keywords:fractional derivative, fractional calculus, variational analysis
Abstract
In this paper the solutions of the fractional Euler-Lagrange quations corresponding to singular fractional Lagrangians were examined. We observed that if a Lagrangian is singular in the classical sense, it remains singular after being fractionally generalized. The fractional Lagrangian is non-local but its gauge symmetry was preserved despite complexity of equations in fractional cases. We generalized four examples of singular Lagrangians admitting gauge symmetry in fractional case and found solutions to corresponding Euler-Lagrange equations.
Cite this article as:D. Baleanu, “About Fractional Calculus of Singular Lagrangians,” J. Adv. Comput. Intell. Intell. Inform., Vol.9 No.4, pp. 395-398, 2005.Data files:
