About Fractional Calculus of Singular Lagrangians

被引：5

作者：

Baleanu, Dumitru ^{[1
,2
]}

机构：

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

[2] Inst Space Sci, R-76900 Bucharest, Romania

来源：

JOURNAL OF ADVANCED COMPUTATIONAL INTELLIGENCE AND INTELLIGENT INFORMATICS | 2005年 / 9卷 / 04期

关键词：

fractional derivative; fractional calculus; variational analysis;

D O I：

10.20965/jaciii.2005.p0395

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper the solutions of the fractional Euler-Lagrange equations corresponding to singular fractional Lagrangians were examined. We observed that if a Lagrangian is singular in the classical sense, it remains singular after being fractionally generalized. The fractional Lagrangian is non-local but its gauge symmetry was preserved despite complexity of equations in fractional cases. We generalized four examples of singular Lagrangians admitting gauge symmetry in fractional case and found solutions to corresponding Euler-Lagrange equations.

引用

页码：395 / 398

页数：4