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

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, India4Department of Mathematics, Khazar University, AZ1096, Baku, Azerbaijan5Institute 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 08, 1-7

Abstract: Fractional calculus has emerged as a powerful framework for modeling and controlling complex systems in science and engineering. By extending differentiation and integration to noninteger orders, it provides an effective means of capturing memory, hereditary properties, and long-range interactions inherent in many natural and applied processes. The papers in this special issue highlight the versatility of fractional calculus, with applications ranging from infectious disease dynamics to viscoelastic materials, anomalous diffusion, signal processing, and nonlinear control. The contributions also emphasize analytical and numerical approaches, stability and bifurcation analysis, and innovative control methodologies. These works underscore the capacity of fractional calculus to improve model realism, accuracy, and system regulation, while fostering new directions for interdisciplinary research and applications.

Keywords: Fractional Calculus; Nonlinear Dynamics; Mathematical Modeling; Control Systems; Numerical Analysis (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25020050

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