Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11023553 | Communications in Nonlinear Science and Numerical Simulation | 2019 | 22 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Yiheng Wei, Qing Gao, Da-Yan Liu, Yong Wang,