Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives

被引：153

作者：

Muslih, SI

Baleanu, D ^{[1
]}

机构：

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

[2] Al Azhar Univ, Dept Phys, Gaza, Palestine, Israel

[3] Abdus Salaam Int Ctr Theoret Phys, Trieste, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 304卷 / 02期

关键词：

fractional derivative; Hamiltonian system; nonconservative systems;

D O I：

10.1016/j.jmaa.2004.09.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The link between the treatments of constrained systems with fractional derivatives by using both Hamiltonian and Lagrangian formulations is studied. It is shown that both treatments for systems with linear velocities are equivalent. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：599 / 606

页数：8

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