From Fractals to Fractional Calculus: Nonlinear Dynamics and Hybrid Complex Systems
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "General Mathematics, Analysis".
Deadline for manuscript submissions: 25 December 2025 | Viewed by 58
Special Issue Editor
2. Faculty of Mechanical Engineering, University of Niš, 18000 Nis, Serbia
Interests: nonlinear science; mechanics; elastodynamics; electromechanical systems; fractional calculus
Special Issue Information
Dear Colleagues,
Beautiful images of fractals began to gain notoriety in the scientific literature three and a half decades ago with the widespread development of approximate numerical methods and software tools for solving systems of nonlinear differential equations. Today, the application of numerical methods reveals many nonlinear and rare phenomena and singularities in the dynamics of nonlinear dynamic systems. By reaffirming the differentiation of the fractional order in its application to the dynamics of continuums and discrete dynamic systems, we discover the benefits of elements of mathematical phenomenology and analogies in the dynamics of hybrid systems of complex structures in natural–mathematical, technical–technological, as well as biomedical sciences.
The goal of this Special Issue is to publish papers whose contents show similarities and analogies in the elements of mathematical phenomenology in various fields of science.
Topics that are invited for submission include (but are not limited to) the following:
- Elements of the mathematical phenomenology and mapping of dynamics models in natural, mathematical, and technical sciences (model analogies);
- Mathematical foundations of fractals and the fractional analysis of approximate solutions of nonlinear dynamics;
- Fractals and applications;
- Complex models of fractional-type materials;
- Phenomena and modes in the dynamics of discrete and continuous dynamic systems as well as in nonlinear and fractional-type ones;
- Modes of dynamics of fractional-type systems, both independent and with interactions;
- Energy transfer between modes;
- Dynamics of hybrid systems of complex structures;
- Biological oscillators—linear, nonlinear, and fractional-type piezoelectric models.
Prof. Dr. Katica (Stevanović) Hedrih
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. 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
- fractals
- nonlinear dynamics
- fractional calculus
- mathematical phenomenology
- hybrid systems
- complex structures
- discrete and continuous dynamic systems
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