Fractional variational calculus for nondifferentiable functions

被引：32
作者：
Almeida, Ricardo [1 ]
Torres, Delfim F. M. [1 ]
机构：
[1] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 10期
关键词：
Fractional calculus; Jumarie's modified Riemann-Liouville derivative; Natural boundary conditions; Isoperimetric problems; Holonomic constraints; EULER-LAGRANGE EQUATIONS; FORMULATION; MECHANICS; SYSTEMS; ENERGY; TERMS;
D O I：
10.1016/j.camwa.2011.03.098
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove necessary optimality conditions, in the class of continuous functions, for variational problems defined with Jumarie's modified Riemann-Liouville derivative. The fractional basic problem of the calculus of variations with free boundary conditions is considered, as well as problems with isoperimetric and holonomic constraints. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：3097 / 3104
页数：8
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