Fractional Bateman-Feshbach Tikochinsky Oscillator
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Date
2014
Authors
Baleanu, Dumitru
Asad, Jihad H.
Petras, Ivo
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Publisher
IOP Publishing LTD
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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 things 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 Grunwald-Letnikov approach, which is power series expansion of the generating function.
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Keywords
Riemann-Liouville Derivatives, Bateman-Feshbach Tikochinsky Oscillator, Fractional Hamiltonian Equations, Grunwald-Letnikov Approach
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Citation
Baleanu, Dumitru; Asad, Jihad H.; Petras, Ivo, "Fractional Bateman-Feshbach Tikochinsky Oscillator", Communications in Theoretical Physics, 61, No. 2, pp. 221-225, (2014).
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Source
Communications in Theoretical Physics
Volume
61
Issue
2
Start Page
221
End Page
225