Lagrangian for the convection-diffusion equation

被引：7

作者：

Cresson, Jacky ^{[1
]}

Greff, Isabelle ^{[1
]}

Inizan, Pierre ^{[2
]}

机构：

[1] Univ Pau & Pays Adour, Pau, France

[2] Observ Paris, IMCCE, F-75014 Paris, France

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2012年 / 35卷 / 15期

关键词：

fractional calculus; variational calculus; partial differential equations; convection-diffusion equation; Lagrangian variational formulation; FORMULATION; MECHANICS; CALCULUS; SYSTEMS;

D O I：

10.1002/mma.2651

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the asymmetric fractional calculus of variations, we derive a fractional Lagrangian variational formulation of the convectiondiffusion equation in the special case of constant coefficients. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：1885 / 1895

页数：11

共 19 条

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