Lagrangians with linear velocities within Riemann-Liouville fractional derivatives

被引：164

作者：

Baleanu, D ^{[1
]}

Avkar, T ^{[1
]}

机构：

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

来源：

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS | 2004年 / 119卷 / 01期

关键词：

D O I：

10.1393/ncb/i2003-10062-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Lagrangians linear in velocities were analyzed using the fractional calculus and the Euler-Lagrange equations were derived. Two examples were investigated in details; the explicit solutions of Euler-Lagrange equations were obtained and the recovery of the classical results was discussed.

引用

页码：73 / 79

页数：7

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