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Peer-Review Record

On the Qualitative Analysis of Solutions of Two Fractional Order Fractional Differential Equations

Mathematics 2024, 12(16), 2435; https://doi.org/10.3390/math12162435
by Yasar Bolat 1, Murat GevgeÅŸoÄŸlu 1 and George E. Chatzarakis 2,*
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Mathematics 2024, 12(16), 2435; https://doi.org/10.3390/math12162435
Submission received: 10 July 2024 / Revised: 1 August 2024 / Accepted: 2 August 2024 / Published: 6 August 2024

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

Please see the attachment.

Comments for author File: Comments.pdf

Comments on the Quality of English Language


Author Response

Please see the attachment

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

Report on “On the Qualitative Analysis of Solutions of Two Fractional Order

Fractional Differential Equations

The authors of this manuscript have studied two fractional order differential equations using Riemann-Liouville fractional derivatives. They have obtained results with the help of the Laplace transform.

However,

v  The motivation for the paper is missing.

v  The introduction needs improvement.

v  The application of the system is not clearly explained, and the examples need to be enhanced.

v  Additionally, the paper should compare the proposed system with existing systems.

v  Explain why Riemann-Liouville derivatives were chosen over other available derivatives.

v  The conclusion should be expanded to include future work and potential applications of fractional order differential equations.

Author Response

Please see the attachment

Author Response File: Author Response.pdf

Round 2

Reviewer 1 Report

Comments and Suggestions for Authors

The authors improved the manuscript in some aspects. But there are still some issues need to be addressed.

1. The figures in the example are missing  labels.

2. The format of w and x in the figures is incorrect.

3. The vertices of the sine function graph are not smooth enough, and there is a problem with the coordinate setting of the second figure.

4. The results of this manuscript contain some existing findings. When the author discussed the future research directions in the Conclusion part, they are too general and should be more detailed, even providing some references.

Author Response

Modification completed

Reviewer 2 Report

Comments and Suggestions for Authors

The manuscript improved after revision.

Author Response

Thank you for your comment

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