含 Caputo 导数的分数阶变分问题极小元的存在性
最优化与控制
2013-01-01 v1
摘要
我们研究拉格朗日泛函中包含 Riemann-Liouville 分数阶积分、经典导数及 Caputo 分数阶导数的变分法动态极小化问题。在正则性、强制性和凸性的假设下，我们证明了解的存在性。
引用
@article{arxiv.1208.2363,
title = {Existence of Minimizers for Fractional Variational Problems Containing Caputo Derivatives},
author = {Loïc Bourdin and Tatiana Odzijewicz and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1208.2363},
year = {2013}
}
备注
This is a preprint of a paper whose final and definite form will be published in: Adv. Dyn. Syst. Appl. Submitted July 31, 2012; revised and accepted August 11, 2012