About fractional quantization and fractional variational principles

被引：63
|
作者：
Baleanu, Dumitru [1 ,2 ]
机构：
[1] Cankaya Univ, Dept Math & Comp Sci, Fac Arts & Sci, TR-06530 Ankara, Turkey
[2] Inst Space Sci, R-76900 Bucharest, Romania
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 06期
关键词：
Fractional variational principles; Fractional systems; Infinite-dimensional systems; Hamiltonian systems; FORMULATION;
D O I：
10.1016/j.cnsns.2008.10.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
in this paper, a new method of finding the fractional Euler-Lagrange equations within Caputo derivative is proposed by making use of the fractional generalization of the classical Fad di Bruno formula. The fractional Euler-Lagrange and the fractional Hamilton equations are obtained within the 1 + 1 field formalism. One illustrative example is analyzed. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：2520 / 2523
页数：4
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