New Trends on the Mathematical Models and Solitons Arising in Real-World Problems, 3rd Edition
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: 30 April 2026 | Viewed by 19
Special Issue Editors
Interests: applied science; partial differential equations; soliton theory; analytical methods; numerical methods
Special Issues, Collections and Topics in MDPI journals
Interests: artificial intelligence and image processing; deep learning based on sparse representation; wavelet analysis
Special Issue Information
Dear Colleagues,
The essence of mathematical tools for exemplifying practical problems in daily life is as old humanity itself. Mathematical models in science and technology have recently attracted increasing research attention, with the aim of understanding, describing, and predicting the future behavior of natural phenomena. Recent studies on fractional calculus have been particularly popular among researchers due to their favorable properties when analyzing real-world models associated with properties such as anomalous diffusion, non-Markovian processes, random walk, long range, and, most importantly, heterogeneous behaviors. The development of local differential operators, along with power law settings and non-local differential operators, has been suggested to more accurately replicate these processes. The complexities of nature have driven mathematicians and physicists to derive increasingly sophisticated and scientific mathematical operators to accurately replicate and capture pragmatic realities.
Mathematical physics plays a vital role in studying the determinants and distribution of solitons. It enables the identification of wave distributions across many fields of nonlinear science, and many experts have recently focused their efforts on this area. Such studies may also provide foundations for developing public policy, informing regulatory decisions on engineering problems, and evaluating both existing and emerging perspectives. Major areas of mathematical physics research using mathematical models include symmetry, transmission, outbreak investigation, and epidemiological problems.
This Special Issue is devoted to collecting new results, spanning from theory to practice, with the aim of developing innovative technological tools. Topics of interest include, but are not limited to, the following topics:
- Theoretical, computational, and experimental aspects of mathematical physics models;
- Performance evaluation of mathematical models with fractional differential and integral equations;
- Assessment of models involving different types of fractional operators;
- Validation of models with fractal–fractional differential and integral operators;
- Effects of new fractal differential and integral operators in modeling applications, such as epidemiological diseases, mathematical physics, soliton theory, etc.
Prof. Dr. Haci Mehmet Baskonus
Dr. Shuli Mei
Guest Editors
Dr. Md Nurul Raihen
Guest Editor Assistant
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. Symmetry 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 2400 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
- mathematical physics
- partial differential equations
- epidemic models
- basic reproduction number
- fractional differential equations
- dynamical systems
- stability analysis
- bifurcation
- optimal control
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