Editorial: Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control — Part I

Salah Boulaaras, Viet-Thanh Pham and Rashid Jan
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Salah Boulaaras: Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia
Viet-Thanh Pham: ��Faculty of Electronics Technology, Industrial University of Ho Chi Minh City, Ho Chi Minh City, Vietnam
Rashid Jan: ��Department of Mathematics, Saveetha School of Engineering (SIMATS), Thandalam, Chennai 600124, Tamil Nadu, India§Department of Mathematics, Khazar University, AZ1096, Baku, Azerbaijan¶Institute of Energy Infrastructure (IEI), Department of Civil Engineering, College of Engineering, Universiti Tenaga Nasional (UNITEN), Putrajaya Campus, Jalan IKRAM-UNITEN, Kajang 43000, Selangor, Malaysia

FRACTALS (fractals), 2025, vol. 33, issue 04, 1-6

Abstract: The past few decades have witnessed significant progress in the application of fractional calculus to the modeling and control of complex dynamical systems, particularly due to its ability to capture memory and hereditary effects inherent in many natural and engineered processes. This special issue compiles a selection of rigorous studies addressing theoretical advancements, novel modeling frameworks, and control methodologies based on fractional-order derivatives. The contributions span diverse domains, including infectious disease modeling, viscoelastic material behavior, signal analysis, optimization, and chaos suppression. This editorial outlines the thematic focus of the issue, emphasizing key methodological innovations and identifying prospective directions for future research in this expanding interdisciplinary area.

Keywords: Fractional Calculus; Mathematical Modeling; Nonlinear Dynamics; Control Methods; Memory-Dependent Systems (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25020037

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