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 313
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
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.
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
Benefits of Publishing in a Special Issue
- Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
- Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
- Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
- External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
- Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.
Further information on MDPI's Special Issue policies can be found here.
