Novel Patterns in Fractional-in-Space Nonlinear Coupled FitzHugh–Nagumo Models with Riesz Fractional Derivative
Round 1
Reviewer 1 Report
Report ON
Novel patterns in fractional-in-space nonlinear coupled Fitzhugn-Nagumo models with Riesz fractional derivative
In this paper, the authors have proposed a Fourier spectral method for solving the fractional-in-space nonlinear coupled Fitzhugn-Nagumo models with Riesz fractional derivative. The authors have discussed fractional 2D and 3D Fitzhugn-Nagumo models. Further, numerical examples are presented to illustrate the accuracy and flexibility of these algorithms. It seems to me that the presented results are new and interesting. However, I have the following suggestions to improve the current version of this paper.
- The method must be well described.
- However much detail must be supplied for the temporal and spatial derivatives
- Comparisons with other methods should be included to demonstrate the method's accuracy.
- Cite and survey more recent and related articles for the Riesz fractional models.
- The paper needs another pass on the English grammar in the paper.
Author Response
Dear Reviewer,
The authors thank the reviewers for their valuable suggestions, which greatly improved the quality of the paper. The description is listed at the bottom of this letter. Revised manuscript are listed at the attachment.
We wish to be considered for publication in "Fractal and Fractional". We would appreciate it if you would give us the opportunity to publish this article.
Please kindly review our manuscript and let us know the result at your earliest convenience. Should you have any problem with our manuscript, please kindly let us know by sending email to wylnei@163.com.
Best Regards,
Wang Yu Lan
Department of Mathematics Inner Mongolia University of Technology
Hohhot 010051, P.R. China.
Author Response File: 
Author Response.pdf
Reviewer 2 Report
In this paper, the authors studied the fractional-in-space nonlinear coupled Fitzhugn-Nagumo models. They used the Riesz fractional derivative. I have the following observations:
- What is the advantage of using Riesz fractional derivatives?
- authors wrote that "It is found that the results of numerical experiments are consistent with the theoretical results" where is the experiment? this is just you choose a specific domain and function.
- Recover a classical model by considering the fractional parameter approach to 1 and comparing it with results published in the literature.
Author Response
Dear Reviewer,
The authors thank the reviewers for their valuable suggestions, which greatly improved the quality of the paper. The description is listed at the bottom of this letter. Revised manuscript are listed at the attachment.
We wish to be considered for publication in "Fractal and Fractional". We would appreciate it if you would give us the opportunity to publish this article.
Please kindly review our manuscript and let us know the result at your earliest convenience. Should you have any problem with our manuscript, please kindly let us know by sending email to wylnei@163.com.
Best Regards,
Wang Yu Lan
Department of Mathematics Inner Mongolia University of Technology
Hohhot 010051, P.R. China.
Author Response File: Author Response.pdf
Reviewer 3 Report
See attached file.
Comments for author File: Comments.pdf
Author Response
Dear Reviewer,
The authors thank the reviewers for their valuable suggestions, which greatly improved the quality of the paper. The description is listed at the bottom of this letter. Revised manuscript are listed at the attachment.
We wish to be considered for publication in "Fractal and Fractional". We would appreciate it if you would give us the opportunity to publish this article.
Please kindly review our manuscript and let us know the result at your earliest convenience. Should you have any problem with our manuscript, please kindly let us know by sending email to wylnei@163.com.
Best Regards,
Wang Yu Lan
Department of Mathematics Inner Mongolia University of Technology
Hohhot 010051, P.R. China.
Author Response File: Author Response.pdf
Round 2
Reviewer 2 Report
The authors somehow modified the manuscript but not very well. I recommended for publication
Reviewer 3 Report
Accept in present form.
