Fractional Calculus in the Design, Control and Implementation of Complex Systems, 2nd Edition
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Complexity".
Deadline for manuscript submissions: 31 July 2025 | Viewed by 1261
Special Issue Editors
Interests: non-linear dynamics and chaos; fractional calculus; biological mathematics; engineering applications
Special Issues, Collections and Topics in MDPI journals
Interests: analysis and control of systems; signal processing
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Fractional calculus studies the generalization of the differentiation operator in the case where the order is permitted to be any real or complex number. Particularly, fractional derivatives are considered non-local operators because they provide the memory effect in temporary applications. The ability to describe the hereditary characteristics of a system and its memory is the most fundamental advantage of fractional calculus over integer calculus. If the fractional differential operator is introduced into a system, the system can produce new complex dynamic behaviors.
Complex systems are of great significance in practical applications such as encryption, secure communication, random sequence, key design, signal processing, and signal detection. As such, it would be significant and necessary to control and analyze the complexity of these systems. At present, many new analytical techniques have been proposed to analyze and increase the complexity of these systems. However, there are still various theoretical and technical issues that should be addressed.
This Special Issue aims to introduce and discuss new results and new methods related to fractional calculus applications and new results for control and analysis of non-linear complex systems.
We welcome original research and review articles relating to the themes of this Special Issue. The invited topics include, but are not limited to, the following:
- Analysis, control, and implementation of fractional-order complex systems;
- Analysis, control, and implementation of variable-order complex systems;
- Fractional-order chaotic systems and their applications;
- Analysis, control, and synchronization of fractional-order complex networks;
- Identification and modeling of fractional-order complex systems;
- Digital implementation of fractional-order systems;
- Signal processing through fractional-order models;
- Fractional-order chaos-based cryptography;
- Fractional-order neural networks;
- Fractional-order systems for engineering and medical applications;
- Complex data analysis;
- Complexity in social dynamics;
- Chaotic or hyperchaotic fractional-order systems with large Lyapunov exponent;
- Chaotic or hyperchaotic fractional-order systems with a wide frequency spectrum;
- Fractional-order chaotic systems with high complexity, multistability or hidden dynamics;
- Chaos, chimeras, and spiral waves in fractional-order biological systems;
- Melnikov analysis and chaos in fractional-order mechanical systems;
- Complexity analysis and complexity measurement of chaotic time series;
- Fractional-order chaos-based sound steganography, image encryption, and sound encryption;
- Fractional-order chaos-based secure communications.
Dr. Ernesto Zambrano-Serrano
Dr. Miguel A. Platas-Garza
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.
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Keywords
- fractional calculus
- chaotic systems
- complex networks
- variable order calculus
- mathematical modeling
- control theory
- complexity
- circuit implementation
- chaos-based cryptography
- neural networks
- identification and modeling
- signal processing
- complexity measures
- chaos theory
- applied mathematics
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