Fractal Geometry Theory and Its Applications in Multidisciplines

Fractals: Complex Geometry, Patterns, and Scaling in Nature and Society

Special Issue

Fractal GeometryTheory and Its Applications in Multidisciplines



Fractal geometry deals with irregular andintricate structures and natural phenomena excellently. It is an essentialsubject of Mathematics. Tools and methods introduced by Fractal geometry arehelpful in various fields such as weather forecasting, biology, data analysis,complex systems, physics, studying Brownian motion, machine learning,artificial intelligence, and other engineering branches. There are new tools inthe subject, namely, fractal dimension and fractal functions, which help tomodel many natural phenomena and study stock fluctuation, cancer cells, andother biology and financial systems.

The special issue will be a collection ofhigh-quality articles from renowned experts worldwide. The issue will containresearch works from dimensions, ergodic theory, dynamical systems, complexanalysis, and their relation with biology, finance, and interdisciplinarybranches. The articles in this issue will include the recent developments oftools in Fractal geometry and their applications in several fields, such asphysics, biology, computer science, engineering, numerical analysis,approximation theory, and quantization theory.

This issue will be based on paperscontributing to advances and applications of fractals to finance and biology.

The main target of this special issue is tocollect quality papers contributed by scientists including young researchers inthe areas of Fractal geometry and related fields.

Potential topics included, but are notlimited to:

  • Fractals in astronomy and physics

  • Complex systems

  • Fractal artificial intelligence

  • Fractal functions with applications

  • Machine learning

  • Physical biology

  • Numerical techniques for fractals

  • Mathematical physics on fractals

  • Fractal dimension

  • Quantization dimension

  • Iterated functions systems

  • Fractional calculus

  • Fractals in physiology and medicine

  • Fractal modeling of financial and stocks fluctuations

  • Fractal based methods in information technology and     cryptography

  • Data handling via fractals

Initial submission of articles to Guest Editor: 25 September 2024

Closing date for initial submission: 25 December 2024

Deadline for final decision notification: 25 March 2025


Lead Guest Editor

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Prof. Yong-Shun Liang

Email: liangyongshun@njust.edu.cn

Nanjing University of Science and Technology, Nanjing, Jiangsu, China



Guest Editor

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Dr. Saurabh Verma

Email: saurabhverma@iiita.ac.in

Indian Institute of Information Technology Allahabad, Prayagraj - 211015, India