Special Issue: Fractals, Fractionals and Partial Differential Equations

2025-06-16

Overview

This special issue focuses on problems dealing with fractals, fractional calculus, partial differential equations (PDEs) and the intersection and relationship between these three mathematical areas. It probably explores how fractal geometry and fractional derivatives can be used to model and solve PDEs, potentially paving the way for new perspectives and applications in various scientific and engineering fields. The special issue might cover topics such as fractional PDEs, fractal domains, practical applications in areas like diffusion, wave propagation, image processing, and material sciences, as well as the development of numerical methods for solving fractional PDEs and complex problems.

Scope of the Special Issue

We welcome submissions in (but not limited to) the following areas:

Fractal geometry applications in solving partial differential equations.
Fractional calculus methods for modeling complex systems and phenomena.
Integration of fractals and fractional calculus in numerical simulations of physical processes.
Fractal and fractional approaches in image processing and analysis.
Applications of fractional differential equations in signal processing and communication systems.
Multiscale modeling using fractal and fractional techniques.
Fractional-order systems in control theory and engineering.
Fractional derivatives in mathematical finance and stochastic modeling.
Fractal and fractional techniques for data compression and encryption.
Emerging applications of fractals and fractionals in various scientific and engineering domains.

Keywords

Fractal sets and domains, Fractional differential equations, Fractional calculus, Stability, Control, PDEs.

Guest Editor

Dr. Souissi Chouhaïd

Department of Mathematics at the Faculty of Sciences of Sfax, University of Sfax, Tunisia.

Emails: chouhaid.souissi@fss.usf.tn, chouhaid.souissi@fsm.rnu.tn, chsouissi@yahoo.fr

ORCID: https://orcid.org//0000-0002-0020-2011

ResearchGate: https://www.researchgate.net/profile/Chouhaïd-Souissi

Biographical Note:

Souissi Chouhaïd received his Degree of Scientific Studies, his Master’s Degree of Mathematics and his Diploma of Advanced Studies of Applied Mathematics from the University of of Tunis-El Manar (Tunisia) in 1992, 1994 and 1998, respectively. He completed his PhD, in Mathematics at the University of of Monastir (Tunisia) in 2005. In 2023, he obtained his Habilitation in Mathematics at the University of Sfax (Tunisia). He published articles in renowned international journals. His areas of interest include ordinary differential

equations (ODEs), partial differential equations (PDEs), spectral theory, operator theory, measure theory, fractals and multifractals, probability and statistics, stochastics, number theory, numerical analysis.

Co-Guest Editor

Dr. Abdellatif Ben Makhlouf

Department of Mathematics at the Faculty of Sciences of Sfax, University of Sfax, Tunisia.

Email: abdellatif.benmakhlouf@fss.usf.tn

ORCID: https://orcid.org//0000-0001-7142-7026

ResearchGate: https://www.researchgate.net/profile/Abdellatif-Ben-Makhlouf

Biographical Note:

Dr. Abdellatif Ben Makhlouf obtained his bachelor’s and master’s degrees from the Department of Mathematics at University of Sfax (Tunisia), and a PhD. in Mathematics in 2015 from University of Sfax (Tunisia). Currently, he is an Associate Professor of Mathematics at University of Sfax (Tunisia). His current research interests include fractional differential equations, ordinary differential equations, stochastic differential Equations, control theory and stability theory.

Dr. Boulares Hamid

University 8 Mai 1945, Guelma. Faculty of Mathematics and Informatics and Material Sciences, Algeria.

Email: boulareshamid@gmail.com

ORCID: https://orcid.org//0000-0001-9994-0534

ResearchGate: https://www.researchgate.net/profile/Hamid-Boulares

Biographical Note:

Boulares Hamid received his Magister degree and his PhD in Applied Mathematics from Badji Mokhtar University of Annaba (Algeria) in 2012 and 2016, respectively. He obtained his Habilitation inin Applied Mathematics in 2018 from the University 8 May 1945 Guelma (Algeria). He published articles in renowned international journals, as well as conference proceedings. His areas of interest include fixed point theory, integral equations, fractional calculus, functional analysis, delay differential equations.

Important Dates

Submission Opens: June 16, 2025

Submissions should present original and high-quality research that is not currently under review elsewhere. All manuscripts will undergo a rigorous double-blind peer review process. Previously published conference papers must be substantially extended and clearly identified during submission.

Submission Information

Submit it online: http://ojs.wiserpub.com/index.php/CM/user/register

Or send it to the email address: flory@universalwiser.com

Submission Guideline

https://ojs.wiserpub.com/index.php/CM/about/submissions

For any inquiries about this Special Issue, please contact the Editors via flory@universalwiser.com