Optimality conditions for fractional variational problems with dependence on a combined Caputo derivative of variable order

被引：23
|
作者：
Tavares, Dina [1 ,2 ]
Almeida, Ricardo [2 ]
Torres, Delfim F. M. [2 ]
机构：
[1] Polytech Inst Leiria, Escola Super Educ & Ciencias Sociais, Leiria, Portugal
[2] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat CIDMA, P-3800 Aveiro, Portugal
来源：
OPTIMIZATION | 2015年 / 64卷 / 06期
关键词：
fractional calculus of variations; dynamic optimization; fractional calculus; variable fractional order; 34A08; 26A33; 49K05; CALCULUS; MECHANICS; HAMILTON;
D O I：
10.1080/02331934.2015.1010088
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We establish necessary optimality conditions for variational problems with a Lagrangian depending on a combined Caputo derivative of variable fractional order. The endpoint of the integral is free, and thus transversality conditions are proved. Several particular cases are considered illustrating the new results.
引用
收藏
页码：1381 / 1391
页数：11
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