The universe, with its fractal structure patterns, is comprised of infinite range of elements which interact within complex systems, manifesting adaptability and sensitivity to the external environment. Problems concerning complex systems tend to be multidimensional, dynamic, nonlinear, non-differentiable and chaotic.
A fractal system is a non-linear, complex and interactive system capable of adapting to a vague environment. Fractal, fractional calculus, quantum, wavelet and entropy-based applications have been the most widely-used methods to solve problems in a complex system. Fractal-based analysis is based on two core characteristics which are self-similarity, and contractivity with iterative function systems.
Fractal Artificial Intelligence (Fractal AI) allows the derivation of new mathematical tools that along with its implementations seeks to provide effective solutions for problems in which many entities are interconnected. Fractal AI is also employed to make critical decisions, extract hidden information from the dynamics of complex system, minimizing time between formation and validation of hypotheses, quantizing processes and accelerating experiments by performing large volume of data analyses in scientific discovery.
In this special section, the focus will be on review new developments based on the fractal AI and its applications in complex systems, including theoretical and numerical aspects. Accordingly, we aim to extend the research areas of image processing, signal processing, image segmentation, differential/integral equations, special functions, multiresolution analysis and entropy as a measure of all aspects of the theoretical and practical studies of mathematics, physics, biology, medicine, engineering, information science and social sciences, to name just a few.
The main topics of this Special Section include (but are not limited to):
Please note that all final accepted papers of this special issue will be published on an Open Access Platform, wherein all papers are freely accessible and downloadable to all. Your paper on the OA platform will be subject to increased usage, increased readability and increased citations. For OA, all authors will pay a compulsory Article Processing Charge of US$1000 per article.
Important deadlines for submission (Part IV):
Initial submission of articles to Lead Guest Editor: March 23, 2022.
Closing date for initial submission: March 23, 2023.
Deadline for final decision notification: June 30, 2023.
Lead Guest Editors:
Dr. Yeliz Karaca, University of Massachusetts Medical School, Worcester, USA
Email: yeliz.karaca@ieee.org
Dr. Dumitru Baleanu, Cankaya University, Ankara, Turkey and Institute of Space Sciences, Magurele-Bucharest, Romania
Email: dumitru@cankaya.edu.tr
Guest Editors:
Dr. Majaz Moonis, University of Massachusetts Medical School, Worcester, USA
Email: majaz.moonis@umassmemorial.org
Dr. Yu-Dong Zhang, University of Leicester, Leicester, UK
Email: yudongzhang@ieee.org
Dr. Osvaldo Gervasi, Perugia University, Perugia, Italy
Email: osvaldo.gervasi@unipg.it