Fractional Calculus, Artificial Intelligence and Complexity Analysis in Neurological and Chaotic Systems
A special issue of Fractal and Fractional (ISSN 2504-3110).
Deadline for manuscript submissions: 15 August 2026 | Viewed by 49
Special Issue Editors
Interests: modeling and control of dynamical systems; nonlinear dynamics; time series entropies in epilepsy; entropies in fractal geometry; fractional dynamical systems
Special Issues, Collections and Topics in MDPI journals
Interests: applied mathematics; thermal management; computer science; electronics; neural network; data science and optimization; fractional calculus
Interests: data science; neural computing and artificial intelligence; statistics and probability and their applications; stochastics and finance
Interests: applied mathematics; fractional differential equations; dynamical systems; mathematical modeling
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
The objective of this Special Issue is to investigate innovative methodologies for the modeling, analysis, and control of complex systems, with a particular focus on those associated with brain dynamics, neurological disorders, and chaotic systems, by employing fractional calculus and artificial intelligence.
Fractional calculus provides a robust framework for accurately describing memory effects, non-locality, and multiscale behavior, making it especially useful in studying complex neurological phenomena and brain signals. Concurrently, artificial intelligence, including deep learning and hybrid techniques, has become essential for analyzing high-dimensional biomedical data, identifying emerging patterns, and proposing predictive models.
In this context, we encourage submissions that address, from theoretical and applied perspectives, the study of neurodegenerative diseases, epilepsy, chaotic brain dynamics, neuroimaging analysis, nonlinear systems, and EEG/ECoG signals. We also welcome contributions focused on time series complexity analysis, including entropy-based methods and information–theoretic measures, particularly when applied to biomedical or neurophysiological data. Studies employing advanced geometric metrics, such as fractal dimension, to characterize the structural and functional complexity of the brain, especially when integrated with fractional methods or intelligent models, are also of interest.
Topics of Interest:
- Modeling of neurological diseases using fractional differential equations
- AI-based modeling and control of fractional-order systems
- Chaotic dynamics and synchronization in fractional and neural systems
- Fractal and fractional geometry in brain dynamics and biomedical signal analysis
- Entropy-based methods for complexity analysis in EEG/ECoG and time series
- Bifurcation theory and nonlinear phenomena in neurological models
- Fractional-order neural networks and neuro-fuzzy systems
- Machine learning integrated with fractional models for neurodiagnostics
- Numerical methods and computational tools for fractional differential equations
- Hybrid models combining AI algorithms and fractional operators
- Time series analysis using multiscale and permutation entropy in neuroscience
- Applications of fractal and entropy metrics to neurodegenerative disease classification
Dr. Ricardo Zavala-Yoé
Dr. Jorge Mario Cruz-Duarte
Prof. Dr. Milan Stehlik
Prof. Dr. Porfirio Toledo Hernández
Guest Editors
Manuscript Submission Information
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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 calculus
- neurological systems
- artificial intelligence
- chaotic dynamics
- fractal dimension
- entropy measures
- EEG/ECoG signal processing
- neuroimaging analysis
- time series analysis
- brain complexity
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