黎曼-刘维尔意义下的分数阶等周诺特定理
最优化与控制
2013-07-09 v2
摘要
我们证明了具有黎曼-刘维尔导数的分数阶等周变分问题的诺特型定理。得到了拉格朗日形式和哈密顿形式。讨论了变分法分数阶背景下的说明性例子。
引用
@article{arxiv.1205.4853,
title = {Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense},
author = {Gastao S. F. Frederico and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1205.4853},
year = {2013}
}
备注
Submitted 12-Oct-2012; revised 05-Jan-2013; accepted 23-Jan-2013; for publication in Reports on Mathematical Physics. arXiv admin note: substantial text overlap with arXiv:1001.4507