Generalized Hamilton's principle with fractional derivatives

被引：19

作者：

Atanackovic, T. M. ^{[1
]}

Konjik, S. ^{[2
]}

Oparnica, Lj ^{[3
]}

Pilipovic, S. ^{[2
]}

机构：

[1] Univ Novi Sad, Inst Mech, Fac Tech Sci, Novi Sad 21000, Serbia

[2] Univ Novi Sad, Dept Math & Informat, Fac Sci, Novi Sad 21000, Serbia

[3] SANU, Inst Math, Belgrade 11000, Serbia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2010年 / 43卷 / 25期

基金：

奥地利科学基金会;

关键词：

VARIATIONAL CALCULUS; LINEAR VELOCITIES; FORMULATION; ORDER; MECHANICS;

D O I：

10.1088/1751-8113/43/25/255203

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We generalize Hamilton's principle with fractional derivatives in the Lagrangian L(t, y(t), D-0(t)alpha y(t), alpha) so that the function y and the order of the fractional derivative alpha are varied in the minimization procedure. We derive stationarity conditions and discuss them through several examples.

引用

页数：12

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