On the series representation of nabla discrete fractional calculus
On the series representation of nabla discrete fractional calculus
复制标题
关于nabla离散分数阶微积分的级数表示
DOI：
10.1016/j.cnsns.2018.09.024
复制
发表时间：
2019
影响因子：
3.9
通讯作者：
Yong Wang
中科院分区：
文献类型：
--
作者：
Yiheng Wei;Qing Gao;Dayan Liu;Yong Wang
本文讨论了nabla离散分数阶微积分的描述和分析问题。首先建立了级数表示框架，包括分别在初始时刻和当前时刻展开的两个泰勒级数。在此框架下，给出并研究了分数和/差的若干基本性质.值得注意的是，短记忆原理介绍了纳布拉离散分数阶微积分，沿着，两个相应的系列进行了研究。
This paper addresses the description and analysis problems of nabla discrete fractional calculus. The series representation framework is developed first, including two Taylor series expanded at the initial instant and the current time, respectively. Under this framework, several essential properties of fractional sum/difference are presented and investigated. Notably, the short memory principle is introduced for nabla discrete fractional calculus, along with which two corresponding series are studied.