Delayed and Stochastic Fractional Order Dynamical Systems: Theory, Numerical Methods, Control, and Applications
A special issue of Fractal and Fractional (ISSN 2504-3110).
Deadline for manuscript submissions: 31 July 2025 | Viewed by 1157
Special Issue Editors
Interests: stochastic processes; probability theory
Interests: fractional calculus; control theory; bio-mathematics; numerical methods
Interests: fractional differential equations; operational matrices; numerical methods; lie symmetry
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
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
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Keywords
- 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
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