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Article overview
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Analytical and numerical representations for discrete Grunwald-Letnikov fractional calculus | Yiheng Wei
; Tianyu Liu
; Peter W Tse
; Yong Wang
; | Date: |
26 Jan 2019 | Abstract: | This paper focuses on the new representation of Grunwald-Letnikov discrete
fractional calculus. By resorting the classical nabla Taylor series, the series
representation of Grunwald-Letnikov difference/sum is 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 new representations, the corresponding Leibniz rules are built
subsequently. Simulation study clearly illustrates the effectiveness and
efficiency of the proposed theory. | Source: | arXiv, 1901.9211 | Services: | Forum | Review | PDF | Favorites |
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