Analog realization of fractional variable-type and -order iterative operator

Dominik Sierociuk, Michal Macias and Wiktor Malesza

Applied Mathematics and Computation, 2018, vol. 336, issue C, 138-147

Abstract: The aim of the paper is to give a method for modeling and practical realization of iterative fractional variable-type and -order difference operator. Based on already known serial switching scheme, it was unable to obtain practical realization of such an operator. Therefore, a new parallel switching scheme is introduced. The equivalence between proposed switching scheme and variable-type operator is proved as well. Using proposed method an analog realization of fractional variable-type and -order difference operator is presented and comparison of experimental and numerical results are given.

Keywords: Fractional calculus; Variable-order; Analog circuit modeling (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:336:y:2018:i:c:p:138-147

DOI: 10.1016/j.amc.2018.04.047

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