This proceedings volume convenes works within the field of fractional calculus and its applications, presented at the International Conference on Fractional Differentiation and its Applications (ICFCA), held in Sousse, Tunisia, from December 26th to 30th, 2024.

In its first rendition, the ICFCA gathers papers from several countries such as Algeria, Lebanon, Qatar, Tunisia, Türkiye, and United Arab Emirates, among others. It aims to provide a unique platform for researchers engaged in fractional calculus in a mathematical context. Covered topics range from foundational aspects, such as fractional differential equations, stability analysis, boundary value problems, and inverse problems, to more applied aspects such as fractional control systems, and the use of fractional calculus tools and techniques in physics, engineering, biology, and more.

This volume fills a gap in the fractional calculus landscape by covering theoretical developments and applications in various fields while showcasing the recent findings of a new generation of researchers.

Autorentext

Omar Naifar completed a Master's degree in Computer Science from the Faculty of Sciences of Sfax at the University of Sfax, Tunisia, in 2010. He pursued a Master's project in Automatic and Industrial Computing from the National School of Engineering of Sfax in 2012, followed by a PhD in Electrical Engineering in 2015. Subsequently, he obtained the HdR degree in Electrical Engineering from the same institute in 2021. He currently serves as an Associate Professor at the Higher Institute of Applied Sciences and Technology of Kairouan. His research interests encompass robust nonlinear control, theoretical aspects of nonlinear observer design, control and fault diagnosis, and fractional-order control systems.

Abdellatif Ben Makhlouf earned both a Master's degree and a PhD in Mathematics from the University of Sfax, Tunisia, in 2015. Presently, he holds the position of Associate Professor at the University of Sfax. His research pursuits encompass fractional differential equations, ordinary differential equations, stochastic differential equations, control theory, and stability theory.

Mohamed Ali Hammami achieved his PhD degree in Mathematics in 1994 from the University of Metz (France) and the "Habilitation" in 2001 from the University of Sfax (Tunisia). He currently serves as a Professor at the Faculty of Sciences of Sfax in the Department of Mathematics, particularly affiliated with the Stability and Control Systems and Nonlinear PDE Laboratory. His research interests encompass nonlinear control systems and differential equations, focusing on the stability of time-varying systems, stabilization of impulsive, time-delay, and fuzzy systems, stochastic evolution systems, observability and observer, and differential equations.