Fractal Hankel Transform

Golmankhaneh A. K., Şevli H., Cattani C., Vidović Z.

Fractal and Fractional, vol.9, no.3, 2025 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 3
  • Publication Date: 2025
  • Doi Number: 10.3390/fractalfract9030135
  • Journal Name: Fractal and Fractional
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, Directory of Open Access Journals
  • Keywords: fractal calculus, fractal Hankel transform, fractal heat equation, fractal space, fractal time
  • Van Yüzüncü Yıl University Affiliated: Yes

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.