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 materials2014Vol. 2014pp. -
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.