Fractional Bateman-Feshbach Tikochinsky Oscillator

被引：32

作者：

Baleanu, Dumitru ^{[1
,2
,3
]}

Asad, Jihad H. ^{[4
]}

Petras, Ivo ^{[5
]}

机构：

[1] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia

[2] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

[3] Inst Space Sci, Bucharest 76900, Romania

[4] Palestine Tech Univ, Dept Phys, Coll Arts & Sci, Tulkarm, Israel

[5] Tech Univ Kosice, BERG Fac, Kosice 04200, Slovakia

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2014年 / 61卷 / 02期

关键词：

Riemann-Liouville derivatives; Bateman-Feshbach Tikochinsky oscillator; fractional Hamiltonian equations; Grunwald-Letnikov approach; EULER-LAGRANGE; MECHANICS; EQUATIONS;

D O I：

10.1088/0253-6102/61/2/13

中图分类号：

O4 [物理学];

学科分类号：

070305 [高分子化学与物理];

摘要：

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.

引用

页码：221 / 225

页数：5

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