fractional killing-yano tensors and killing vectors using the caputo derivative in some one- and two-dimensional curved space

fractional killing-yano tensors and killing vectors using the caputo derivative in some one- and two-dimensional curved space

;Ehab Malkawi;D. Baleanu
science and technology of advanced materials 2014 Vol. 2014 pp. -
134
malkawi2014abstractfractional

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.

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10.1155/2014/290694
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