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Fractal Fract
Volume 9
Issue 3
10.3390/fractalfract9030135
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Article

Fractal Hankel Transform

by
Alireza Khalili Golmankhaneh
1,*,
Hamdullah Şevli
2,
Carlo Cattani
3 and
Zoran Vidović
4
1
Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080 Van, Turkey
2
Department of Computer Engineering, Faculty of Sciences, Van Yuzuncu Yil University, 65080 Van, Turkey
3
Engineering School (DEIM), University of Tuscia, 01100 Viterbo, Italy
4
Faculty of Education, University of Belgrade, Kraljice Natalije 43, 11000 Belgrade, Serbia
*
Author to whom correspondence should be addressed.
Fractal Fract. 2025, 9(3), 135; https://doi.org/10.3390/fractalfract9030135
Submission received: 4 January 2025 / Revised: 11 February 2025 / Accepted: 18 February 2025 / Published: 20 February 2025
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Abstract

This paper explores the extension of classical transforms to fractal spaces, focusing on the development and application of the Fractal Hankel Transform. We begin with a concise review of fractal calculus to set the theoretical groundwork. The Fractal Hankel Transform is then introduced, along with its formulation and properties. Applications of this transform are presented to demonstrate its utility and effectiveness in solving problems within fractal spaces. Finally, we conclude by summarizing the key findings and discussing potential future research directions in the field of fractal analysis and transformations.
Keywords: fractal calculus; fractal Hankel transform; fractal heat equation; fractal time; fractal space fractal calculus; fractal Hankel transform; fractal heat equation; fractal time; fractal space

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MDPI and ACS Style

Golmankhaneh, A.K.; Şevli, H.; Cattani, C.; Vidović, Z. Fractal Hankel Transform. Fractal Fract. 2025, 9, 135. https://doi.org/10.3390/fractalfract9030135

AMA Style

Golmankhaneh AK, Şevli H, Cattani C, Vidović Z. Fractal Hankel Transform. Fractal and Fractional. 2025; 9(3):135. https://doi.org/10.3390/fractalfract9030135

Chicago/Turabian Style

Golmankhaneh, Alireza Khalili, Hamdullah Şevli, Carlo Cattani, and Zoran Vidović. 2025. "Fractal Hankel Transform" Fractal and Fractional 9, no. 3: 135. https://doi.org/10.3390/fractalfract9030135

APA Style

Golmankhaneh, A. K., Şevli, H., Cattani, C., & Vidović, Z. (2025). Fractal Hankel Transform. Fractal and Fractional, 9(3), 135. https://doi.org/10.3390/fractalfract9030135

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