Fractional Noether's theorem in the Riesz-Caputo sense

被引：119

作者：

Frederico, Gastao S. F. ^{[2
]}

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

机构：

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

[2] Univ Cape Verde, Dept Sci & Technol, Praia, Santiago, Cape Verde

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 03期

关键词：

Calculus of variations; Optimal control; Fractional derivatives; Invariance; Noether's theorem; Leitmann's direct method; COORDINATE TRANSFORMATION METHOD; LEITMANNS DIRECT METHOD; CONSERVATION-LAWS; VARIATIONAL CALCULUS; LINEAR VELOCITIES; OPTIMIZATION; FORMULATION; EXTENSIONS; INTEGRALS; EQUATIONS;

D O I：

10.1016/j.amc.2010.01.100

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a Noether's theorem for fractional variational problems with Riesz-Caputo derivatives. Both Lagrangian and Hamiltonian formulations are obtained. Illustrative examples in the fractional context of the calculus of variations and optimal control are given. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1023 / 1033

页数：11