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Title: Fractional bateman - Feshbach tikochinsky oscillator
Authors: Baleanu, D
Asad, J. H.
Petras, I
Keywords: Riemann–Liouville derivatives;Bateman–Feshbach Tikochinsky oscillator;fractional Hamiltonian equations;Gr¨unwald–Letnikov approach
Issue Date: Feb-2014
Publisher: Institute of Physics Publishing
Abstract: In the last few years the numerical methods for solving the fractional differential equations started to be applied intensively to real world phenomena. Having these thinks in mind in this manuscript we focus on the fractional Lagrangian and Hamiltonian of the complex Bateman–Feshbach Tikochinsky oscillator. The numerical analysis of the corresponding fractional Euler-Lagrange equations is given within the Gr¨unwald–Letnikov approach, which is power series expansion of the generating function.
Appears in Collections:Applied science faculty

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