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Comments on “Vector differential operators in a fractional dimensional space, on fractals, and in fractal continua”, [Chaos, Solitons and Fractals. 168 (2023) 113203]

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  • Tarasov, Vasily E.

Abstract

In the Balankin and Mena paper [Chaos, Solitons and Fractals. 168 (2023) 113203], there are equations and text in Tables 1 and 5 about the definitions and properties of the differential operators of vector calculus in non-integer dimensional spaces (NIDS) proposed in the Tarasov papers. In these brief Comments, we proved that text and equations, which are written by Balankin and Mena in Tables 1 and 5 and after them about the properties of NIDS vector calculus operators proposed in the Tarasov articles [53] and [75] are erroneous. The basic identities for generalized vector differential operators in NIDS vector calculus proposed in the Tarasov papers [53] and [75] are satisfied.

Suggested Citation

  • Tarasov, Vasily E., 2026. "Comments on “Vector differential operators in a fractional dimensional space, on fractals, and in fractal continua”, [Chaos, Solitons and Fractals. 168 (2023) 113203]," Chaos, Solitons & Fractals, Elsevier, vol. 203(C).
    • Handle: RePEc:eee:chsofr:v:203:y:2026:i:c:s0960077925016820
    DOI: 10.1016/j.chaos.2025.117669
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    References listed on IDEAS

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    1. Balankin, Alexander S. & Mena, Baltasar, 2023. "Vector differential operators in a fractional dimensional space, on fractals, and in fractal continua," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
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