Fractional-Order Approaches in Automation: Models and Algorithms

Dear Colleagues,

Fractional calculus is a relatively new field of mathematics that deals with derivatives and integrals of non-integer orders. In recent years, there has been an increase in the popularity of this mathematical tool due to its ability to model and analyze complex physical systems that are difficult to describe using classical calculus. Fractional calculus has a wide range of applications, from control theory and signal processing to image analysis and finance. In this Special Issue of the journal Fractal and Fractional, we will explore the latest developments and applications of fractional calculus in various fields. These include, but are not limited to, biomedicine, materials science, and engineering. We will also showcase the latest advances in numerical methods and algorithms for solving fractional-order differential equations, which are the cornerstone of many applications in the field. Overall, this Special Issue aims to provide readers with a comprehensive overview of the current state of the art in fractional calculus and its applications.

In the realm of current automated control, fractional-order approximation has countless uses, including state estimating, controller design for linear and nonlinear systems, and the development of more precise mathematical models.

With this Special Issue, we hope to delve more deeply into the theory, design, implementation, and use of fractional-order approaches in the modeling and automation of dynamic systems across a variety of fields.

Topics of interest include, but are not limited to:

• Design of fractional-order control systems for high-power electrical systems.
• Modeling, control, and stability of fractional-order systems.
• Fractional-order chaotic systems.
• Control of fractional-order chaotic systems.
• Applications of fractional-order systems in engineering.
• Fractional impulsive systems.
• Deterministic and stochastic fractional-order nonlinear systems.
• Filters, observers, and approximations of nonlinear systems using fractional derivatives.
• Fractional sliding mode control.
• Geometric control for fractional systems.

Dr. Abraham Efraim Rodriguez Mata
Dr. Jesús Alfonso Medrano-Hermosillo
Dr. Pablo Antonio López-Pérez
Guest Editors

Manuscript Submission Information

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• fractional-order systems
• fractional-order control systems
• fractional filtering
• geometric interpretation of fractional-order calculus
• system identifications
• fractional derivatives
• neural networks using fractional-order calculus