Fractional Modeling and Dynamics Analysis of Complex Systems
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Numerical and Computational Methods".
Deadline for manuscript submissions: 31 December 2026 | Viewed by 740
Special Issue Editors
Interests: dynamical analysis; frictional modeling; nonlinear systems; uncertainty quantifications; computational methods
Interests: data-driven dynamical systems; nonlinear systems; fractional order modeling; condition monitoring; energy harvesting
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
The study of fractional elements is critical for accurate understanding of complex dynamical systems, including fractional order modeling and solution methods, dynamics analyses and uncertainty quantifications. For example, fractional damping plays a crucial role in the viscoelastic characteristics of magnetorheological fluid and the vibration responses and fault diagnosis of rotating systems. Additionally, uncertainty is ubiquitous in both linear and nonlinear dynamical systems. The joint development involving fractional modeling and uncertainty handling is a challenging task, especially where the nonlinearity dominates. Cutting-edge approaches using interval arithmetic, statistical analysis and probability density evolution as well as surrogate modeling that have a good balance between efficiency and accuracy are required.
This Special Issue is dedicated to bringing together the most recent advances in newly developed methods, numerical simulations, uncertainty propagations and stability analyses. We invite high-quality original works and review papers on both theoretical and experimental studies. Applications on various dynamical systems in different disciplines are also welcome. Specifically, we welcome original research articles and review papers that address, but are not limited to, the following topics:
- Fractional-order modeling of complex dynamical systems;
- Numerical and analytical methods for solution of fractional order systems;
- Dynamics characteristics of complex fractional order system with new insights;
- Stability criteria establishment and threshold evolutions;
- Experimental investigations of fractional systems;
- Applications of fractional analysis to engineering systems in various disciplines;
- Efficiency enhancement in solving fractional order equations;
- Uncertainty propagations in dynamical systems with fractional elements;
- Surrogate modeling in fractional and uncertain systems;
- Statistical analysis and emerging methods in complex fractional systems;
- Machine learning applied to modeling, solution and stability calculations.
Dr. Chao Fu
Dr. Yunpeng Zhu
Dr. Kuan Lu
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 250 words) can be sent to the Editorial Office for assessment.
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.
Keywords
- fractional order modeling
- complex dynamical systems
- statistical characteristics
- computational methods of fractional mechanics
- fractional order stiffness and damping effects in mechanical systems
- propagation of uncertainty in complex dynamical systems
- fractal surface topology in contact mechanics
- development of solution methods for fractional nonlinear systems
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