Fractional calculus of variations for double integrals

被引：0

作者：

Odzijewicz, Tatiana ^{[1
]}

Torres, Delfim F. M. ^{[1
]}

机构：

[1] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal

来源：

BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS | 2011年 / 16卷 / 02期

关键词：

calculus of variations; fractional calculus; multitime Euler-Lagrange fractional PDE; multiple integral cost; modified Riemann-Liouville derivative; MULTITIME MAXIMUM PRINCIPLE; NATURAL BOUNDARY-CONDITIONS; DERIVATIVES; ENERGY; MECHANICS; SYSTEMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider fractional isoperimetric problems of calculus of variations with double integrals via the recent modified Riemann-Liouville approach. A necessary optimality condition of Euler-Lagrange type, in the form of a multitime fractional PDE, is proved, as well as a sufficient condition and fractional natural boundary conditions.

引用

页码：102 / 113

页数：12

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