高阶分数阶密切丛的几何及其应用
微分几何
2007-09-14 v1
摘要
利用回顾的 Riemann-Liouville 分数阶导数，我们引入了 k 阶分数阶密切 Lagrange 空间及其上的主要结构。所得结果应用于 Lagrange、Finsler 和 Riemann 分数阶结构的 k 阶分数阶延拓。
引用
@article{arxiv.0709.2000,
title = {The geometry of fractional osculator bundle of higher order and applications},
author = {Ion Doru Albu and Mihaela Neamtu and Dumitru Opris},
journal= {arXiv preprint arXiv:0709.2000},
year = {2007}
}
备注
20 pages, the paper was presented at International Conference on Differential Geometry Lagrange and Hamilton Spaces, Dedicated to Acad. Radu Miron at eighty, September 3-8, 2007, Iasi, Romania