Baleanu, D.Malkawi, Ehab2020-04-292025-09-182020-04-292025-09-182014Baleanu, Dimitru; Malkawi, Ehab, "Fractional Killing-Yano Tensors and Killing Vectors Using the Caputo Derivative in Some One- and Two-Dimensional Curved Space", Abstract and Applied Analysis, (2014).1085-33751687-0409https://doi.org/10.1155/2014/290694https://hdl.handle.net/20.500.12416/14804Malkawi, Ehab/0000-0002-6461-3741The 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.eninfo:eu-repo/semantics/openAccessArticle10.1155/2014/2906942-s2.0-84899428475