Baleanu, DumitruBaleanu, DumitruPetras, IvoAsad, Jihad H.Pilar Velasco, MariaMatematik2020-04-072020-04-072012Baleanu, Dumitru...et al. (2012). "Fractional Pais-Uhlenbeck Oscillator", International Journal of Theoretical Physics, Vol. 51. No. 4. pp. 1253-1258.0020-7748https://doi.org/10.1007/s10773-011-1000-yBaleanu, Dumitru/0000-0002-0286-7244; Asad, Jihad/0000-0002-6862-1634; Velasco, M. Pilar/0000-0002-0988-2527; Petras, Ivo/0000-0002-9250-6986; Asad, Jihad/0000-0001-5656-5471In this paper we study the fractional Lagrangian of Pais-Uhlenbeck oscillator. We obtained the fractional Euler-Lagrangian equation of the system and then we studied the obtained Euler-Lagrangian equation numerically. The numerical study is based on the so-called Grunwald-Letnikov approach, which is power series expansion of the generating function (backward and forward difference) and it can be easy derived from the Grunwald-Letnikov definition of the fractional derivative. This approach is based on the fact, that Riemman-Liouville fractional derivative is equivalent to the Grunwald-Letnikov derivative for a wide class of the functions.eninfo:eu-repo/semantics/closedAccessRiemann-Liouville DerivativesPais-Uhlenbeck OscillatorGrunwald-Letnikov ApproachArticle5141253125810.1007/s10773-011-1000-y2-s2.0-84858408603WOS:000302693200026Q3Q2