Fractal Hankel Transform

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.

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Publication Details

Journal
Fractal and Fractional
Published
2025-02-20
DOI
https://doi.org/10.3390/fractalfract9030135
Citations
2
Primary Topic
Image and Signal Denoising Methods
Type
article
Field-Weighted Citation Impact
2.55
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article

Fractal Hankel Transform

Carlo Cattani, Hamdullah Şevli̇, Alireza Khalili Golmankhaneh, Zoran Vidović
2 citations
Fractal and Fractional
Image and Signal Denoising Methods
2.55
article

Fractal Hankel Transform

Carlo Cattani, Hamdullah Şevli̇, Alireza Khalili Golmankhaneh, Zoran Vidović
article en
2 citations

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.

Fractal and FractionalVol. 9(3)
Van Yüzüncü Yıl Üniversitesi (TR), Università degli Studi della Tuscia (IT), University of Belgrade (RS)
Openalex Percentile: Top 12%
Image and Signal Denoising Methods
2.55
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