期刊
CZECHOSLOVAK JOURNAL OF PHYSICS
卷 52, 期 11, 页码 1247-1253出版社
INST PHYSICS ACAD SCI CZECH REPUBLIC
DOI: 10.1023/A:1021389004982
关键词
fractional derivative; fractional integral; fractional mechanics; Euler-Lagrange equations; Hamilton equation; non-conservative systems
The models described by fractional order derivatives of Riemann-Liouville type in sequential form are discussed in Lagrangean and Hamiltonian formalism. The Euler-Lagrange equations are derived using the minimum action principle. Then the methods of generalized mechanics are applied to obtain the Hamilton's equations. As an example free motion in fractional picture is studied. The respective fractional differential equations are explicitly solved and it is shown that the limit alpha --> 1(+) recovers classical model with linear trajectories and constant velocity.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据