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.
|Journal||Abstract and Applied Analysis|
|Publication status||Published - 2014|
ASJC Scopus subject areas
- Applied Mathematics