The Generalized Fractional Calculus of Variations

被引：0

作者：

Odzijewicz, Tatiana ^{[1
]}

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

机构：

[1] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat CIDMA, P-3810193 Aveiro, Portugal

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2014年 / 38卷 / 01期

关键词：

Calculus of variations; Fractional calculus; Euler-Lagrange equations; Natural boundary conditions; Isoperimetric problems; Noether's theorem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We review the recent generalized fractional calculus of variations. We consider variational problems containing generalized fractional integrals and derivatives and study them using indirect methods. In particular, we provide necessary optimality conditions of Euler-Lagrange type for the fundamental and isoperimetric problems, natural boundary conditions, and Noether type theorems.

引用

页码：93 / 117

页数：25

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