English

The flaw in the conformable calculus: it is conformable because it is not fractional

Classical Analysis and ODEs 2024-02-12 v7

Abstract

We point out a major flaw in the conformable calculus. We demonstrate why it fails at defining a fractional derivative and where exactly these tempting conformability properties come from.

Keywords

Cite

@article{arxiv.1806.03912,
  title  = {The flaw in the conformable calculus: it is conformable because it is not fractional},
  author = {Ahmed A. Abdelhakim},
  journal= {arXiv preprint arXiv:1806.03912},
  year   = {2024}
}

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Link to published version: https://www.degruyter.com/document/doi/10.1515/fca-2019-0016/html?lang=en