Necessary optimality conditions for fractional action-like integrals of variational calculus with Riemann-Liouville derivatives of order (α, β)

被引：93

作者：

El-Nabulsi, Rami Ahmad

Torres, Delfim F. M.

机构：

[1] Univ Aveiro, Dept Math, Ctr Res Optimizat & Control, P-3810193 Aveiro, Portugal

[2] Jeju Natl Univ, Fac Mech Energy & Prod Engn, Dept Nucl & Energy Engn, Cheju, South Korea

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2007年 / 30卷 / 15期

关键词：

fractional action-like variational approach; fractional Euler-Lagrange equations; fractional constants of motion;

D O I：

10.1002/mma.879

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive Euler-Lagrange-type equations for fractional action-like integrals of the calculus of variations which depend on the Riemann-Liouville derivatives of order (alpha, beta), alpha > 0, beta > 0, recently introduced by Cresson. Some interesting consequences are obtained and discussed. Copyright (c) 2007 John Wiley & Sons, Ltd.

引用

页码：1931 / 1939

页数：9

共 22 条

[1] Formulation of Euler-Lagrange equations for fractional variational problems [J].