Fractional Mathematical Modelling: Theory, Methods, and Applications—2nd Edition
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Numerical and Computational Methods".
Deadline for manuscript submissions: 16 June 2026
Special Issue Editors
Interests: mathematical modeling; fractional calculus; mathematical biology; nonlinear analysis; computational mathematics; existence theory; stability analysis
Special Issues, Collections and Topics in MDPI journals
Interests: fractional derivatives; differential equations; existence and stability; oscillatory behavior; asymptotic behavior
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
This Special Issue is dedicated to recent advances in the theory, methods, and applications of fractional mathematical modelling. Fractional calculus has proven to be a powerful tool for capturing memory effects, hereditary properties, and anomalous diffusion in complex systems, and it is increasing applied in disciplines such as physics, biology, engineering, economics, and control theory.
We welcome original research contributions focused on the development of fractional differential and integral equations, as well as the theoretical analysis of fractional-order systems. Of particular interest are papers introducing innovative fractional-order operators, analytical techniques, robust numerical schemes, and computational algorithms for solving fractional models. This Special Issue also aims to highlight the role of fractional calculus in modeling real-world phenomena. Contributions that integrate fractional modeling with emerging approaches such as machine learning, stochastic analysis, or hybrid modeling frameworks are also welcome.
We invite researchers from all areas of science and engineering to contribute their latest findings to this Special Issue, the aim of which is to provide a platform for both theoretical developments and application-related breakthroughs that reflect current trends and future directions in fractional mathematical modelling.
Dr. Zeeshan Ali
Prof. Dr. Sandra Pinelas
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.
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 mathematical modeling
- fractional differential and integral equations
- novel fractional-order operators and their properties
- existence and uniqueness of solutions
- analytical techniques for fractional systems
- numerical methods and computational algorithms
- stability and control of fractional-order systems
- real-world applications across science and engineering
- integration with machine learning, stochastic analysis, and hybrid modeling
- interdisciplinary modeling of complex systems
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