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, issue 1

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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https://doi.org/10.1155/2014/290694

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:290694

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