Variable Order Fractional Variational Calculus for Double Integrals

被引：0
|
作者：
Odzijewicz, Tatiana [1 ]
Malinowska, Agnieszka B.
Torres, Delfim F. M. [1 ]
机构：
[1] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat, P-3810193 Aveiro, Portugal
来源：
2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2012年
关键词：
Variable order fractional calculus; fractional calculus of variations; Green's theorem; optimality conditions; MECHANICS; DYNAMICS; THEOREM;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We introduce three types of partial fractional operators of variable order. An integration by parts formula for partial fractional integrals of variable order and an extension of Green's theorem are proved. These results allow us to obtain a fractional Euler-Lagrange necessary optimality condition for variable order two-dimensional fractional variational problems.
引用
收藏
页码：6873 / 6878
页数：6
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