Potentials of arbitrary forces with fractional derivatives

被引：39

作者：

Rabei, EM ^{[1
]}

Alhalholy, TS

机构：

[1] Mutah Univ, Dept Phys, Al Karak, Jordan

[2] Jordan Univ Sci & Technol, Irbid, Jordan

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2004年 / 19卷 / 17-18期

关键词：

nonconservative systems; fractional calculus; Lagrange formulation;

D O I：

10.1142/S0217751X04019408

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

The Laplace transform of fractional integrals and fractional derivatives is used to develop a general formula for determining the potentials of arbitrary forces: conservative and nonconservative in order to introduce dissipative effects (such as friction) into Lagrangian and Hamiltonian mechanics. The results are found to be in exact agreement with Riewe's results of special cases. Illustrative examples are given.

引用

页码：3083 / 3092

页数：10

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