Delayed and Stochastic Fractional Order Dynamical Systems: Theory, Numerical Methods, Control, and Applications

Dear Colleagues,

Fractional order systems have gained significant attention in recent years due to their ability to capture complex dynamics with memory effects, non-locality, and hereditary properties. These systems find applications in diverse fields including engineering, physics, biology, and economics. Incorporating delays and stochasticity further extends the applicability of fractional order models to better represent real-world phenomena. The interplay between fractional calculus, delay dynamics, and stochastic processes presents both theoretical challenges and practical opportunities in understanding, controlling, and exploiting the behavior of such systems.

This Special Issue aims to explore recent advancements in the theory, control, and applications of Delayed and Stochastic Fractional Order Systems. Topics of interest include, but are not limited to, the following:

• Mathematical foundations of fractional calculus and its applications in delayed systems: development of mathematical tools and techniques for analyzing fractional order systems with delays.
• Stochastic modeling and analysis of fractional order systems: probabilistic approaches for modeling and analyzing uncertainty in fractional order systems.
• Control strategies for delayed and stochastic fractional order systems: design and implementation of control algorithms for stabilization, tracking, and optimization of fractional order systems with delays and stochastic disturbances.
• Stability analysis and control synthesis techniques: investigations into stability properties, robustness, and control synthesis methodologies for delayed and stochastic fractional order systems.
• Fractional order filters and signal processing: development of filters and signal processing techniques based on fractional calculus for handling delayed and stochastic signals.
• Fractional order systems in robotics and automation: applications of fractional order systems in modeling and controlling robotic systems with delays and uncertain dynamics.
• Fractional order systems in biomedical engineering and medicine: utilization of fractional order models for understanding physiological processes, disease dynamics, and medical treatments with inherent delays and stochasticity.
• Fractional order systems in renewable energy and power systems: integration of fractional order control techniques in renewable energy systems and power grid management considering uncertainties and time delays.
• Fractional order systems in communication and networking: analysis and control of communication networks and protocols using fractional order models to account for transmission delays and stochastic channel conditions.
• Fractional order systems in economics and finance: applications of fractional calculus in modeling economic systems, financial markets, and decision-making processes under uncertainty and time delays.

Prof. Dr. Andreas Basse-O'Connor
Prof. Dr. Ahmadreza Haghighi
Prof. Dr. Hossein Jafari
Dr. Majid Roohi
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• fractional calculus
• delayed systems
• stochastic processes
• control strategies
• stability analysis
• signal processing
• robotics
• biomedical engineering
• renewable energy
• communication networks
• economics
• finance
• interdisciplinary research
• electrical circuits
• mechanical systems
• process optimization biomedical modeling