Fractional Bateman-Feshbach Tikochinsky Oscillator
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 things in mind in this manuscript we focus on the fractional Lagrangian and Harniltonian of the complex Bateman-Feshbach Tikochinsky o...
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Veröffentlicht in: | Communications in theoretical physics 2014-02, Vol.61 (2), p.221-225 |
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creator | Baleanu, Dumitru Asad, Jihad H. Petras, Ivo |
description | 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 things in mind in this manuscript we focus on the fractional Lagrangian and Harniltonian of the complex Bateman-Feshbach Tikochinsky oscillator. The numerical analysis of the corresponding fractionaJ Euler-Lagrange equations is given within the Griinwald-Letnikov approach, which is power series expansion of the generating function. |
doi_str_mv | 10.1088/0253-6102/61/2/13 |
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subjects | Differential equations Mathematical analysis Mathematical models Numerical analysis Oscillators Power series Theoretical physics 分数阶微分方程 幂级数展开 拉格朗日方程 振荡器 数值分析 数值方法 现实世界 贝特 |
title | Fractional Bateman-Feshbach Tikochinsky Oscillator |
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