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.
Boulaaras et al. (Sat,) studied this question.