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Remarks on five equivalent forms of the fractional – order backward – difference

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Remarks_five_equivalent_Ostalczyk_2014.pdf (162.9Kb)
Date
2014
Author
Ostalczyk, Piotr
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Abstract
In this paper a fractional-order backward-difference/sum (FOBD/S) equivalent formulae are considered. From the Gr¨unwald- Letnikov (GL - FOBD) definition formula and its Horner equivalent form one derives the Riemann-Liouville FOBD (RL - FOBD). Also the Caputo and polynomial-like forms are defined. All forms may be useful in real-time calculations (in the evaluation of digital control strategies) due to the reduction of fractional orders. The investigations are illustrated by a numerical example.
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http://hdl.handle.net/11652/1118
http://www.degruyter.com/view/j/bpasts.2014.62.issue-2/bpasts-2014-0027/bpasts-2014-0027.xml?format=INT
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