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Browsing by Author "Pilar Velasco, Maria"

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    Citation Count: Baleanu, Dumitru...et al. (2012). "Fractional Pais-Uhlenbeck Oscillator", International Journal of Theoretical Physics, Vol. 51. No. 4. pp. 1253-1258.
    Fractional Pais-Uhlenbeck Oscillator
    (Springer, 2012) Baleanu, Dumitru; Petras, Ivo; Asad, Jihad H.; Pilar Velasco, Maria; 56389; 56389
    In 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.