Fractional calculus of variations of several independent variables

被引：9

作者：

Odzijewicz, T. ^{[1
]}

Malinowska, A. B. ^{[2
]}

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

机构：

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

[2] Bialystok Tech Univ, Fac Comp Sci, PL-15351 Bialystok, Poland

来源：

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2013年 / 222卷 / 08期

关键词：

THEOREM; FORMULATION; DERIVATIVES; MECHANICS;

D O I：

10.1140/epjst/e2013-01966-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove multidimensional integration by parts formulas for generalized fractional derivatives and integrals. The new results allow us to obtain optimality conditions for multidimensional fractional variational problems with Lagrangians depending on generalized partial integrals and derivatives. A generalized fractional Noether's theorem, a formulation of Dirichlet's principle and an uniqueness result are given.

引用

页码：1813 / 1826

页数：14

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