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

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.

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

References in corpus (1)

• A critical analysis of the conformable derivative

Cited by in corpus (8)

• A Generalized Definition of Fractional Derivative with Applications
• A Comment on the Conformable Euler Finite Difference Method
• Remarks about the existence of conformable derivatives and some consequences
• The solution of conformable Laguerre differential equation using conformable Laplace transform
• Quantization of the Bateman damping system with conformable derivative
• On the mistake in defining fractional derivative using a non-singular kernel
• The effect of deformation of special relativity by conformable derivative
• About Conformable Derivatives in Banach Spaces