任意时间尺度上 BHT 分数微积分的链式法则与不等式
经典分析与常微分方程
2017-03-03 v1
摘要
我们通过证明 -分数导数的两个链式法则和 -分数积分的五个不等式，发展了时间尺度上的 Benkhettou-Hassani-Torres 分数（非整数阶）微积分。当算子为（整数）阶 且时间尺度与实数集一致时，这些结果与众所周知的经典结果相吻合。
引用
@article{arxiv.1611.09049,
title = {Chain rules and inequalities for the BHT fractional calculus on arbitrary time scales},
author = {Eze R. Nwaeze and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1611.09049},
year = {2017}
}
备注
This is a preprint of a paper whose final and definite form is published in 'Arabian Journal of Mathematics', ISSN 2193-5343 (Print) 2193-5351 (Online). Paper submitted 25/Feb/2016; revised 24/Sept/2016; accepted 28/Nov/2016