Modeling and Dynamic Analysis of Fractional-Order Systems
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "General Mathematics, Analysis".
Deadline for manuscript submissions: 31 December 2025 | Viewed by 790
Special Issue Editors
Interests: fractional calculus; dynamic analysis; chaos and bifurcation; integral inequalities; stability analysis; modeling via fractional operator
Interests: spectral methods; numerical methods and applications of nonlocal PDEs; numerical methods and applications of fractional differential equations; time-fractional differential equations
Special Issue Information
Dear Colleagues,
The present Special Issue is dedicated to new research on the modeling and dynamic analysis of fractional-order systems. In contrast to traditional integer-order calculus, fractional calculus provides enhanced flexibility by accommodating derivatives of non-integer orders across any specified range, thereby facilitating more nuanced and precise descriptions of intricate physical phenomena and dynamic processes. Consequently, fractional-order models have garnered extensive applications across varied scientific and engineering disciplines, including rheology, quantum mechanics, control theory and robotics, electrochemistry, electromagnetic fields, bio-medicine, transportation, and finance. As computational capabilities advance rapidly and algorithms continue to improve, the potential applications of fractional-order systems are further expanding.
Dynamic analysis is a pivotal method for investigating the dynamic behaviors of systems. In the context of fractional-order models, dynamic analysis encompasses stability analysis, response characteristic analysis, and studies of bifurcation and chaotic behavior. Notably, fractional-order systems exhibit more complex and varied dynamic behaviors compared to traditional integer-order systems due to their memory effect, hereditary properties, and nonlocal characteristics. As such, a profound understanding and in-depth analysis of the dynamic behaviors of fractional-order systems have emerged as critical research priorities for researchers, necessitating the development of specialized dynamic theories tailored to these systems.
This Special Issue primarily covers the following areas:
- Fractional-order system modeling;
- Stability analysis of fractional-order systems;
- Reduction methods for fractional-order systems;
- Research on bifurcation and chaos in fractional-order systems;
- Numerical methods for fractional-order systems.
This Special Issue will also cover the following areas:
- Analysis of fractional-order neural networks;
- Analysis of discrete-time fractional-order systems;
- Other practical applications of fractional-order systems.
Dr. Li Ma
Prof. Dr. Fanhai Zeng
Guest Editors
Manuscript Submission Information
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Keywords
- stability and control of fractional-order systems
- reductions for fractional-order systems
- bifurcation and chaos in fractional-order systems
- discrete-time or continuous-time fractional-order systems
- modeling via fractional calculus
- generalized fractional calculus
- numerical methods for fractional-order systems
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