Continuous/Discrete-Time Fractional Systems: Modelling, Design and Estimation
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "General Mathematics, Analysis".
Deadline for manuscript submissions: 20 December 2024 | Viewed by 2630
Special Issue Editors
Interests: operational calculus; fractional calculus; fractional systems
Interests: signal processing; fractional signals and systems; EEG and ECG processing
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
In the last thirty years, Fractional Calculus has become an integral part all scientific fields. Although not all the formulations are suitable for being used in applications, there are several tools that constitute true generalizations of classic operators and are suitable for describing real phenomena. In fact, many systems can be classified as either shift-invariant or scale-invariant and have fractional characteristics either in time or in frequency/scale. This means that some of the known fractional operators, namely those described by ARMA-type equations, are very useful in many areas, such as: diffusion, viscoelasticity, fluid mechanics, bioengineering, dynamics of mechanical, electronic and biological systems, signal processing, control, economy, and others.
The focus of this Special Issue is to continue to advance research on topics such as modelling, design and estimation relating to fractional order systems. Manuscripts addressing novel theoretical issues, as well as those on more specific applications, are welcome.
Potential topics include but are not limited to the following:
• Fractional order systems modelling and identification
• Shift-invariant fractional ARMA linear systems, continuous-time, and discrete-time.
• System analysis and design
• Scale invariant systems
• Fractional differential or difference equations
• Mathematical and numerical methods with emphasis on fractional order systems
• Fractional Gaussian noise, fractional Brownian motion, and other stochastic processes
• Applications
Prof. Dr. Gabriel Bengochea
Dr. Manuel Duarte Ortigueira
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
- autoregressive-moving average (ARMA)
- shift-invariant
- scale-invariant
- fBm
- Liouville
- Liouville–Caputo
- Hadamard
- Riemann–Liouville
- Dzherbashian–Caputo
- Grunwald–Letnikov
- two-sided Riesz–Feller derivatives
