Numerical Simulations of Dynamic Behaviors and Control Design in Fractional Engineering Applications

Dear Colleagues,

Fractional calculus is a branch of mathematics that extends the concepts of derivatives and integrals to non-integer orders. This field has evolved significantly over the years and has become one of the most rapidly growing areas in applied mathematics, physics, and a wide range of other scientific and engineering disciplines. Fractional calculus provides a powerful framework for modeling complex phenomena in various fields where traditional integer-order models fall short, offering more accurate representations of real-world systems.

Over the last several years, there has been substantial progress in the development of new techniques and methods for solving fractional-order systems. Researchers have focused on improving both analytical and numerical methods, making it increasingly feasible to apply fractional calculus in real-world scenarios.

This Special Issue is primarily dedicated to the exploration of fractional systems using novel and accurate numerical approaches. By applying these methods, we aim to uncover new dynamic behaviors, identify critical system properties, and enhance the design of control strategies through numerical simulations. The main objective is to contribute to a deeper understanding of fractional-order systems and their practical applications, particularly in engineering and applied sciences.

The topics of interest for this SI include, but are not limited to, the following:

• Numerical Simulations of Dynamic Behaviors in Fractional Engineering Applications;
• Control Design in Fractional Engineering Applications;
• Sensitivity Analysis in Fractional Engineering Applications;
• Fractional Programming and Its Applications;
• Fractional-Order Particle Swarm Optimization.

Prof. Dr. José Manoel Balthazar
Prof. Dr. Angelo Marcelo Tusset
Prof. Dr. Hugo Valadares Siqueira
Prof. Dr. Jeferson José de Lima
Guest Editors

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