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Abstract and Applied Analysis
Volume 2014, Article ID 290694, 4 pages
Research Article

Fractional Killing-Yano Tensors and Killing Vectors Using the Caputo Derivative in Some One- and Two-Dimensional Curved Space

1Department of Physics, United Arab Emirates University, 15551 Al Ain, UAE
2Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia
3Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530, Balgat, Ankara, Turkey
4Institute of Space Sciences, Magurele 76900, Bucharest, Romania

Received 30 January 2014; Accepted 25 February 2014; Published 24 March 2014

Academic Editor: Xiao-Jun Yang

Copyright © 2014 Ehab Malkawi and D. Baleanu. 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 free Lagrangian admitting a constant of motion, in one- and two-dimensional space, is generalized using the Caputo derivative of fractional calculus. The corresponding metric is obtained and the fractional Christoffel symbols, Killing vectors, and Killing-Yano tensors are derived. Some exact solutions of these quantities are reported.