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

Author

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  • Sierociuk, Dominik
  • Macias, Michal
  • Malesza, Wiktor

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.

Suggested Citation

  • Sierociuk, Dominik & Macias, Michal & Malesza, Wiktor, 2018. "Analog realization of fractional variable-type and -order iterative operator," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 138-147.
    • Handle: RePEc:eee:apmaco:v:336:y:2018:i:c:p:138-147
    DOI: 10.1016/j.amc.2018.04.047
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    References listed on IDEAS

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    1. Žecová, Monika & Terpák, Ján, 2015. "Heat conduction modeling by using fractional-order derivatives," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 365-373.
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