A comment on a controversial issue: a generalized fractional derivative cannot have a regular kernel

DOI10.1515/fca-2020-0008zbMath1437.26010arXiv2003.04385OpenAlexW3101412855MaRDI QIDQ2176141

Andrzej Hanyga

Publication date: 4 May 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.04385

zbMATH Keywords

fractional calculuscompletely monotone functionBernstein functionStieltjes functionSonine equationLICM function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) General theory for ordinary differential equations (34A99)

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• No nonlocality. No fractional derivative
• The failure of certain fractional calculus operators in two physical models
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