A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives

被引：91

作者：

Baleanu, Dumitru ^{[1
,2
]}

Trujillo, Juan I. ^{[3
]}

机构：

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

[2] Inst Space Sci, R-76900 Magurele, Romania

[3] Univ La Laguna, Dept Anal Matemat, Tenerife 38271, Spain

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 05期

关键词：

Fractional Lagrangians; Fractional calculus; Fractional Caputo derivative; Fractional Euler-Lagrange equations; Faa di Bruno formula; LINEAR VELOCITIES; CLASSICAL FIELDS; FORMULATION; MECHANICS; FORMALISM;

D O I：

10.1016/j.cnsns.2009.05.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we have investigated the fractional Caputo derivative of a composition function. The obtained results were applied to investigate the fractional Euler-Lagrange and Hamilton equations for constrained systems. The approach was applied within an illustrative. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1111 / 1115

页数：5

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