The failure of certain fractional calculus operators in two physical models

Manuel D. Ortigueira, Valeriy Martynyuk, Mykola Fedula, J. Tenreiro Machado

Research output: Contribution to journalReview article

11 Citations (Scopus)

Abstract

The ability of the so-called Caputo-Fabrizio (CF) and Atangana-Baleanu (AB) operators to create suitable models for real data is tested with real world data. Two alternative models based on the CF and AB operators are assessed and compared with known models for data sets obtained from electrochemical capacitors and the human body electrical impedance. The results show that the CF and AB descriptions perform poorly when compared with the classical fractional derivatives.

Original languageEnglish
Pages (from-to)255-270
Number of pages16
JournalFractional Calculus and Applied Analysis
Volume22
Issue number2
DOIs
Publication statusPublished - 24 Apr 2019

Keywords

  • 34K07
  • Primary 26A33
  • Secondary 34K05

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