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《理论物理通讯(英文版)》 2014-02
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Fractional Bateman–Feshbach Tikochinsky Oscillator

Dumitru Baleanu;Jihad H.Asad;Ivo Petras;Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University;Department of Mathematics and Computer Science, Faculty of Arts and Sciences, Cankaya University;Institute of Space Sciences;Department of Physics, College of Arts and Sciences, Palestine Technical University;BERG Faculty, Technical University of Kosice;  
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 Grünwald–Letnikov approach, which is power series expansion of the generating function.
【Fund】: Supported in part by the Slovak Grant Agency for Science under Grants VEGA:1/0497/11 1/0746/11 1/0729/12;; the Slovak Research and Development Agency under Grant No.APVV-0482-11
【CateGory Index】: TN752
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