A note on stability of fractional logistic maps, Appl. Math. Lett. 125 (2022) 107787

TL;DR

This paper critiques the incorrect stability analysis in a previous work on fractional logistic maps and provides a corrected proof regarding the convergence of a specific mathematical convolution.

Contribution

It identifies errors in prior stability analysis and offers a revised proof for the convergence of a convolution involving a converging series and sequence.

Findings

Previous stability analysis was incorrect

Provided a corrected proof for convolution convergence

Highlighted the need for careful editing in mathematical papers

Abstract

In this paper, we show that the stability analysis in the paper A note on stability of fractional logistic maps, Appl. Math. Lett. 125 (2022) 107787 is incorrect and repeat a proof of a theorem on the convergence of a convolution of the product of a converging series with a converging sequence. We also mention that the paper commented on should have been edited more carefully.