力学与引力理论中的分数阶类比模型
数学物理
2012-03-13 v1 math.MP
摘要
我们简要回顾了关于非完整流形与拉格朗日-芬斯勒空间几何以及基于卡普托导数的分数阶微积分的最新结果。这些构造被用于建立分数阶引力和分数阶拉格朗日力学的类比模型。
引用
@article{arxiv.1008.0363,
title = {Fractional Analogous Models in Mechanics and Gravity Theories},
author = {Dumitru Baleanu and Sergiu I. Vacaru},
journal= {arXiv preprint arXiv:1008.0363},
year = {2012}
}
备注
latex2e, 11pt, 11 pages with table of content; it is summary of the results presented in our talk at the 3d Conference on "Nonlinear Science and Complexity", 28--31 July, 2010, \c{C}hankaya University, Ankara, Turkey