含分数阶导数的变分法等周问题
最优化与控制
2012-03-12 v1
摘要
本文研究具有左、右 Riemann-Liouville 分数阶导数的变分法等周问题。考虑了变分积分下限与分数阶导数下限重合及不重合的两种情况。
引用
@article{arxiv.1105.2078,
title = {Isoperimetric problems of the calculus of variations with fractional derivatives},
author = {Ricardo Almeida and Rui A. C. Ferreira and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1105.2078},
year = {2012}
}
备注
Submitted 02-Oct-2009; revised 30-Jun-2010; accepted 10-May-2011; for publication in the journal Acta Mathematica Scientia