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Browsing by Author "Bilgen, A."

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    Citation Count: Baleanu, D...et al. (2012). "FRACTIONAL EULER-LAGRANGE EQUATION OF CALDIROLA-KANAI OSCILLATOR, Romanian Reports In Physics, Vol. 64, pp. 1171-1177.
    Fractional Euler-Lagrange Equation of Caldirola-Kanai Oscillator
    (Editura Academiei Romane, 2012) Baleanu, Dumitru; Asad, Jihad H.; Petras, Ivo; Elagan, S.; Bilgen, A.; 56389
    A study of the fractional Lagrangian of the so-called Caldirola-Kanai oscillator is presented. The fractional Euler-Lagrangian equations of the system have been obtained, and the obtained Euler-Lagrangian equations have been studied 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.