Application of the Optimal Homotopy Asymptotic Approach for Solving Two-Point Fuzzy Ordinary Differential Equations of Fractional Order Arising in Physics
, Ahmad Qazza 5, Abedel-Karrem Alomari 6 and Khamis S. Al Kalbani 1Round 1
Reviewer 1 Report
Please see attachment
Comments for author File: 
Comments.pdf
Author Response
Response to Reviewer 1 Comments
Reviewer 2 Report
Please see the attached review report.
Comments for author File: Comments.pdf
Author Response
Response to Reviewer 2 Comments
Author Response File: Author Response.pdf
Reviewer 3 Report
See attached file.
Comments for author File: Comments.pdf
Author Response
Response to Reviewer 3 Comments
Author Response File: Author Response.pdf
Reviewer 4 Report
The authors use a new form of the approximate analytical method to solve and analyze two-point fuzzy boundary value problems in the form of fractional ordinary differential equations (FFOBVPs) under fuzzy in the Caputo derivative sense. The Optimal Homotopy Asymptotic Method (OHAM) is studied and extended in a new form to solve FFOBVPs. The steps of fuzzification and defuzzification from the concepts of fuzzy sets theory merged with some fractional calculus principles were used to present a new form of OHAM with fuzzy analysis in detail. The paper is a well-written scientific work. However, before accepting, some shortcomings must be eliminated. The list of my comments is as follows:
1. Both the abstract and introduction sections should emphasize the contribution. Also, more emphasis should be given to the motivation and justification for undertaking research in this direction.
2. The MDPI template should be used
3. English should be improved - native speaker assistance should be considered.
4. Please extend future research directions.
5. The references need to be extended.
Author Response
Response to Reviewer 4 Comments
Author Response File: Author Response.pdf
Round 2
Reviewer 3 Report
See attached file.
Comments for author File: Comments.pdf
Author Response
Response to Reviewer 3 Comments
Round 2
Point 1: They were asked to to analyze reference [3] and removed it!
In reference [3], some of the authors applied the Optimal Homotopy Asymptotic Method (OHAM) in solving a class of Initial Value Problems for Fuzzy Ordinary Differential Equations of Fractional Order. In the present paper they apply OHAM in solving a class of Two-Point Boundary Value Problems.
Response 1: Reference 3 is readded as Ref [29] and analyzed in the introduction section.
Point 2: The paper in the revised version has nothing new to present and is not well written.
Response 2: This point has been fixed in some paper sections also the conclusion section is written according to the reviewer in clear way.
Round 3
Reviewer 3 Report
My main comment was:
"At the very least, the authors should include one or two new non-trivial examples, as mentioned, to improve the paper."
In the revised version there is no answer to this.
The inclusion of at least one example, in place of or in addition to the first example, with a non-polynomial solution is required.
