Browsing by Author "Pilar Velasco, Maria"

Filter results by typing the first few letters
Now showing 1 - 1 of 1
  • Thumbnail Image
    Article
    Citation - WoS: 34
    Citation - Scopus: 38
    Fractional Pais-Uhlenbeck Oscillator
    (Springer/plenum Publishers, 2012) Petras, Ivo; Asad, Jihad H.; Pilar Velasco, Maria; Baleanu, Dumitru; Velasco, Maria Pilar
    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.