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

Ehab Malkawi and D. Baleanu

Abstract and Applied Analysis, 2014, vol. 2014, 1-4

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:290694

DOI: 10.1155/2014/290694

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