Modeling and Control of Fractal and Fractional Dynamical Systems in Neurological Disorders

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Life Science, Biophysics".

Deadline for manuscript submissions: 30 September 2024 | Viewed by 185

Special Issue Editors

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Guest Editor
Tecnológico de Monterrey, Calzada del Puente, 222. Col. Ejidos de Huipulco, Mexico City 14380, Mexico
Interests: time series entropy in childhood epilepsy; robotics; nonlinear modelling and control

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Guest Editor
Tecnológico de Monterrey, Av. Eugenio Garza Sada 2501 Sur, Col. Tecnológico, Monterrey 64849, Mexico
Interests: applied mathematics; thermal management; computer science; electronics
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
Facultad de Matemáticas, Universidad Veracruzana, Calle Paseo No. 112, Lote 12, Sección 2a, Villa Nueva, Nuevo Xalapa, Xalapa 91097, Veracruz, México
Interests: applied mathematics; dynamical; systems modelling

Special Issue Information

Dear Colleagues,

Neurological disorders are considered to be complex affections from both clinical and mathematical perspectives. That is why mathematics and engineering have been trying for some time to contribute to objectively revealing the non-apparent characteristics of this type of disease. Finding suitable models has become more and more challenging, and “non-conventional” dynamical structures must be used. It is in this sense that fractional and fractal dynamics appear to provide alternative techniques to address such intricate and long-suffering diseases; not only for patients, but also for caregivers. 

Neurological disorders are diseases of the central and peripheral nervous systems. Among the neurological diseases considered by the World Health Organization (WHO), this Special Issue will also focus on typical complex affections that include seizure and degenerative disorders.

Examples of neurodegenerative illnesses are as follows:

  • Alzheimer's disease (D).
  • Dementias (D).
  • Mental disorders (schizophrenia, autism spectrum disorder (ASD), and attention deficit hyperactivity disorder (ADHD)) (D).
  • Parkinson's and other movement disorders (D).

These affections are traditionally seen as complex from clinical and mathematical perspectives. As such, increasingly complex algorithms have been proposed to reflect more of the underlying dynamics of these conditions, but only recently have they been considered from fractal or fractional dynamics viewpoints. Moreover, some of them still remain unexplored by these techniques.

As a consequence of the shortage of fractal and fractional dynamical models to investigate the complex diseases described above, we encourage the scientific community to participate in our novel Special Issue, providing contributions on: Fractional dynamical systems-based modeling and control:

  • Linear/Nonlinear deterministic dynamical models.
  • Stochastic ordinary/partial differential equation-based models.
  • Stability, controllability, and observability.
  • PID, optimal, and other fractional control techniques.
  • Fractional neural networks.

Fractal dynamics perspectives:

  • Fractal analysis of time series.
  • Fractal geometry.
  • Numerical issues.
  • Hurst exponent and predictability. Fractal artificial intelligence (Fractal AI).
  • Multifractal analysis.
  • Entropy analysis.

Dr. Ricardo Zavala-Yoé
Dr. Jorge Mario Cruz-Duarte
Prof. Dr. Porfirio Toledo Hernández
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at 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.


  • neurological disorders
  • fractal analysis
  • entropy applications
  • neurological disorders
  • fractional dynamical systems

Published Papers

This special issue is now open for submission.
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