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

TL;DR

This paper critically examines the conformable calculus, revealing that its conformability is misleading because it does not truly define a fractional derivative, exposing fundamental flaws in its theoretical foundation.

Contribution

It identifies and explains the core flaw in the conformable calculus, clarifying why it cannot serve as a valid fractional derivative.

Findings

Conformable calculus fails to define a genuine fractional derivative.

The conformability properties are misleading and originate from a misconception.

The paper clarifies the fundamental issues in the conformable calculus framework.

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.