A New Generalized Definition of Fractal–Fractional Derivative with Some Applications
Round 1
Reviewer 1 Report
Comments and Suggestions for Authors
The present work extends the concept of fractal-fractional derivatives proposed in Ref[11]. The study of fractional derivatives is a fascinating topic that has garnered much attention in recent years due to its numerous applications in physical, biological, and social systems. However, the concept of fractal derivatives is not readily connected to that of fractional derivatives.
Parvate and Gangal introduced a definition of fractal derivatives closely linked to Hausdorff Geometry, yet clear connections between this fractal derivative and fractional derivatives were absent until recent works demonstrated that a few fractional derivatives can be derived from the fractal one using different Continuous Approximations. One such approximation is associated with q-deformed calculus.
While the work appears solid and well-written, there is a lack of commentary on the newly discovered connections between fractional and fractal derivatives.
Comments on the Quality of English LanguageThe text is well-written.
Author Response
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Author Response File: 
Author Response.pdf
Reviewer 2 Report
Comments and Suggestions for AuthorsAuthors should add the novelty clearly.
Comments on the Quality of English LanguageModerate editing of English language required.
Author Response
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Author Response File: Author Response.pdf
