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

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Detail(s)

Original languageEnglish
Title of host publicationProceedings 2020 Chinese Automation Congress (CAC 2020)
PublisherIEEE
Pages2097-2102
ISBN (Electronic)9781728176871
ISBN (Print)9781728176888
Publication statusPublished - Nov 2020

Publication series

NameProceedings - Chinese Automation Congress, CAC
ISSN (Print)2688-092X
ISSN (Electronic)2688-0938

Conference

Title2020 Chinese Automation Congress (CAC 2020)
PlaceChina
CityShanghai
Period6 - 8 November 2020

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