Advances in Fractional Order Models and Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".
Deadline for manuscript submissions: 10 March 2026 | Viewed by 2
Special Issue Editor
Interests: fractional Fourier transform; neurodynamic optimization; sparse optimization
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Compared to integer-order systems, fractional-order models and systems have more advantages. Due to the introduction of more degrees of freedom in fractional-order models, model parameters can be adjusted more flexibly and the dynamic characteristics of systems can generally be described more accurately compared to integer-order models. The fractional-order model can better describe the memory effect and genetic characteristics of the system. These models are usually better in demonstrating robustness than integer-order models are. Therefore, the fields of application of fractional-order models are very extensive, including fluid mechanics, the anomalous diffusion and heat conduction of matter and biology, signal and image processing (especially magnetic resonance imaging), system control, fractional-order PID controllers, fractal theory, and so on.
This Special Issue aims to continue the research on the theory of fractional-order models and their related applications. The topics invited for submission include (but are not limited to) the following:
- Fractional-order dynamical systems and their applications;
- Fractional-order delayed dynamical systems and their applications;
- Fractional-order partial differential equations;
- Fractional-order transform and its applications in signal and imaging processing;
- Fractional-order control systems;
- Uncertain fractional-order systems;
- Neurodynamic and fractional-order neurodynamic models;
- Fractional-order optimization.
Dr. Yuan-Min Li
Guest Editor
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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 delayed dynamical systems
- fractional-order partial differential equations
- fractional-order optimization
- fractional-order transform
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