Inverse problem of fractional calculus of variations for partial differential equations

被引：22

作者：

Cresson, Jacky ^{[1
,2
]}

机构：

[1] Univ Pau & Pays Adour, Lab Math Appliques Pau, CNRS, UMR 5142, F-64013 Pau, France

[2] Observ Paris, IMCCE, CNRS, UMR 8028, F-75014 Paris, France

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 04期

关键词：

Fractional calculus; Fractional calculus of variations; Continuous Lagrangian systems; Fractional embedding theory; DIFFUSION;

D O I：

10.1016/j.cnsns.2009.05.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The current paper aims at finding out a Lagrangian structure for some partial differential equations including the Stokes equations, the fractional wave equation, the diffusion or fractional diffusion equations, using the fractional embedding theory of continuous Lagrangian systems. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：987 / 996

页数：10

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