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Article
Peer-Review Record

Stability for Weakly Coupled Wave Equations with a General Internal Control of Diffusive Type

by Abderrahmane Beniani 1, Noureddine Bahri 2, Rabab Alharbi 3,*, Keltoum Bouhali 3,4 and Khaled Zennir 3,5
Reviewer 1:
Reviewer 2:
Submission received: 24 November 2022 / Revised: 17 December 2022 / Accepted: 23 December 2022 / Published: 2 January 2023
(This article belongs to the Special Issue Recent Advances in Stochastic Differential Equations)

Round 1

Reviewer 1 Report

Moreover, some drawbacks are still not be addressed:

 

(1) Future recommendations should be added to assist other researchers to extend the presented research analysis.

(2) The literature review about the problem under study is not adequate in Introduction. The reviewer suggests that the author keeps up-to-date the introductory part by recent relevant developments and publications.

(3) In the introduction, the authors did not provide a strong motivation for the paper and the obtained results. In addition, they should discuss the main contributions of their work in detail after the motivation part. Then, they should summarize the main structure of his paper in brief at the end of the introduction.

(4) The English writing of the paper is required to be improved. Please check the manuscript carefully for typos and grammatical errors. The reviewer found some typos and grammatical errors within this manuscript, which have been excluded from my review. In addition, the English structure of the article, including punctuation, semicolon, and other structures, must be carefully reviewed.

(5) The authors have to compare their results with the other literature and present the accuracy.

(6) There is a typo in the title of the manuscript.

(7) The abstract is too short to be clear in the manuscript.

(8) The authors have to demonstrate some examples to prove the effectiveness of their methods.

Author Response

Please, see the attached file

Author Response File: Author Response.pdf

Reviewer 2 Report

I think the paper is suitable for publication taking into account the following remarks:

1. To present a basic short preliminary presentation of the previous results when the internal diffusive mechansm is described by integer derivatives.

2. To describe the interval of the fractional derivative order where the results are valid and by comparing with the behaviour associated to the integer derivative in the internal diffusive mechanism.

The authors are considering to explore a larger range of  cases by doing numerical simulations? 

Author Response

Please see attached file

Author Response File: Author Response.pdf

Round 2

Reviewer 1 Report

The revision can be accepted.

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