组合Caputo导数的分数阶变分法
最优化与控制
2011-09-23 v1 动力系统
摘要
我们将分数阶Caputo导数推广为分数阶导数，它是阶左Caputo分数阶导数和阶右Caputo分数阶导数的凸组合。我们考虑的分数阶变分问题是用表述的。证明了基本问题和等周问题的Euler-Lagrange方程以及横截条件。
引用
@article{arxiv.1109.4664,
title = {Fractional calculus of variations for a combined Caputo derivative},
author = {Agnieszka B. Malinowska and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1109.4664},
year = {2011}
}
备注
This is a preprint of a paper whose final and definite form has been published in: Fract. Calc. Appl. Anal., Vol. 14, No 4 (2011), pp. 523--537; DOI: 10.2478/s13540-011-0032-6