Analytical and numerical representations for discrete Grünwald-Letnikov fractional calculus
Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45) › 32_Refereed conference paper (with ISBN/ISSN) › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Title of host publication | Proceedings 2020 Chinese Automation Congress (CAC 2020) |
| Publisher | IEEE |
| Pages | 2097-2102 |
| ISBN (Electronic) | 9781728176871 |
| ISBN (Print) | 9781728176888 |
| Publication status | Published - Nov 2020 |
Publication series
| Name | Proceedings - Chinese Automation Congress, CAC |
|---|---|
| ISSN (Print) | 2688-092X |
| ISSN (Electronic) | 2688-0938 |
Conference
| Title | 2020 Chinese Automation Congress (CAC 2020) |
|---|---|
| Place | China |
| City | Shanghai |
| Period | 6 - 8 November 2020 |
Link(s)
Abstract
This paper focuses on the new representation of discrete Grünwald-Letnikov fractional calculus. By resorting the classical nabla Taylor formula and nabla Taylor series, the representations of Grünwald-Letnikov difference/sum are established. Changing the expanded point from the initial instant to the current time, another series like representation is developed. To improve the practicability, the results are extended to the variable order case and the fixed memory step case. With the developed representations, the corresponding Leibniz rules are built subsequently.
Research Area(s)
- Discrete fractional calculus, Grünwald-Letnikov definition, Series representation, Short memory principle, Variable order case
Citation Format(s)
Analytical and numerical representations for discrete Grünwald-Letnikov fractional calculus. / Wei, Yiheng; Chen, YangQuan; Tse, Peter W; Cheng, Songsong.
Proceedings 2020 Chinese Automation Congress (CAC 2020). IEEE, 2020. p. 2097-2102 9327090 (Proceedings - Chinese Automation Congress, CAC).Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45) › 32_Refereed conference paper (with ISBN/ISSN) › peer-review
