Generalized Euler–Lagrange equations for fuzzy variational problems

被引：0

作者：

Soolaki J. ^{[1
]}

Fard O.S. ^{[1
]}

Borzabadi A.H. ^{[1
]}

机构：

[1] School of Mathematics and Computer Science, Damghan University, Damghan

来源：

SeMA Journal | 2016年 / 73卷 / 2期

关键词：

Fuzzy Euler–Lagrange conditions; Fuzzy variational problems; Holonomic constraints; Natural boundary conditions;

D O I：

10.1007/s40324-015-0060-y

中图分类号：

学科分类号：

摘要：

We prove necessary optimality conditions for fuzzy variational problems by using the generalized Hukuhara differentiability concept. The fuzzy basic problem of the calculus of variations with free boundary conditions is considered, as well as problem with holonomic constraints. Examples are considered to demonstrate the applications of the new Euler–Lagrange equations. © 2015, Sociedad Española de Matemática Aplicada.

引用

页码：131 / 148

页数：17