# Comments on "Generalization of the gradient method with fractional order gradient direction"

arXiv: https://arxiv.org/abs/2009.05221 · HTML: https://mlsanity.com/paper/2009.05221/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 11 Sep 2020.

## Built on by (most cited first, 1 of 1)

- [Performance Analysis of Fractional Learning Algorithms](https://mlsanity.com/paper/2110.05201/) (2021)

## Abstract (arXiv)

In this paper, a detrimental mathematical mistake is pointed out in the proof of textitTheorem 1 presented in the papertextit [Generalization of the gradient method with fractional order gradient direction, J. Franklin Inst., 357 (2020) 2514-2532]. It is highlighted that the way the authors prove the convergence of the fractional extreme points of a real valued function to its integer order extreme points lacks correct and valid mathematical argument. Rest of the theorems contained in the paper are mostly announced without any proof relaying on that of Theorem 1.