About fractional quantization and fractional variational principles

被引：64

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

页码：2520 / 2523

页数：4

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