General necessary conditions for infinite horizon fractional variational problems

被引：1

作者：

Almeida, Ricardo ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 07期

关键词：

Fractional calculus of variations; Infinite horizon problems; TRANSVERSALITY CONDITIONS; LAGRANGIAN MECHANICS; TAYLORS SERIES; CALCULUS; ORDER;

D O I：

10.1016/j.aml.2013.03.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider infinite horizon fractional variational problems, where the fractional derivative is defined in the sense of Caputo. Necessary optimality conditions for higher-order variational problems and optimal control problems are obtained. Transversality conditions are obtained in the case state functions are free at the initial time. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：787 / 793

页数：7

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