Rabei, Eqab M.Baleanu, DumitruMuslih, Sami I.Baleanu, DumitruMatematik2016-06-072016-06-072010Rabei, E.M., Muslih, S.I., Baleanu, D. (2010). Quantization of fractional systems using WKB approximation. Communications In Nonlinear Science And Numerical Simulation, 15(4), 807-811. http://dx.doi.org/10.1016/j.cnsns.2009.05.0221007-57041878-7274https://doi.org/10.1016/j.cnsns.2009.05.022The Caputo's fractional derivative is used to quantize fractional systems using (WKB) approximation. The wave function is build such that the phase factor is the same as the Hamilton's principle function S. The energy eigenvalue is found to be in exact agreement with the classical case. To demonstrate our approach an example is investigated in details. (C) 2009 Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessFractional DerivativeFractional Wkb ApproximationHamilton'S Principle FunctionArticle15480781110.1016/j.cnsns.2009.05.0222-s2.0-70350618074WOS:000272308100001Q1Q1