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
收藏
页码：102 / 113
页数：12
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