JACIII Vol.9 No.4 pp. 395-398
doi: 10.20965/jaciii.2005.p0395


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

November 2, 2004
January 15, 2005
July 20, 2005
fractional derivative, fractional calculus, variational analysis
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.
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Last updated on May. 28, 2024