Fractional Order Modelling of Dynamical Systems

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

Deadline for manuscript submissions: 31 March 2026 | Viewed by 234

Special Issue Editor


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Guest Editor
1. Department of Political Science, University of Naples Federico II, 80138 Naples, Italy
2. Department of Mathematics and Physics, University of Campania “Luigi Vanvitelli”, 81100 Caserta, Italy
Interests: fractional derivatives; mathematical biology; fluid dynamics; dynamical systems

Special Issue Information

Dear Colleagues,

The study of fractional differential equations, which involve derivatives and integrals of non-integer orders, has gained significant momentum in recent years due to their ability to model complex phenomena with memory and hereditary properties. These equations provide a more accurate and flexible framework for describing processes in a wide range of disciplines, including physics, biology, engineering, finance, and materials science.

This Special Issue aims to bring together cutting-edge research in the theory, analysis, numerical methods, and applications of fractional differential equations. We are particularly interested in innovative methodologies and modelling strategies that demonstrate the power of fractional calculus in capturing the dynamics of real-world systems, as well as interdisciplinary studies where fractional models provide new insights or improved results.

We welcome original research articles and review papers that address, but are not limited to, the following topics:

  • Theoretical advances in fractional differential equations;
  • Analytical and numerical methods for solving fractional-order models;
  • Stability, control, and bifurcation analysis of fractional dynamical systems;
  • Applications of fractional models in physics, engineering, biology, and other sciences;
  • Fractional order modelling in fluid mechanics;
  • Fractional-order modelling of viscoelastic, diffusive, and memory-dependent systems;
  • Fractional order models in epidemiology;
  • Computational techniques and software tools for fractional systems;
  • Comparisons of classical and fractional modelling approaches.

We look forward to receiving contributions that will foster progress in this vibrant and interdisciplinary field.

Dr. Zubair Ahmad
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

  • fractional derivatives
  • numerical methods of fractional order systems
  • fractional dynamical systems
  • stability analysis
  • fractional models in fluid dynamics
  • disease dynamics and epidemiology
  • fractional modelling with applications

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Published Papers

This special issue is now open for submission.
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