Advances in Fractional Diffusion Models: Random Effects and Applications
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 28 June 2027 | Viewed by 7
Special Issue Editor
Interests: high-precision numerical methods for fractional differential equations; reproducing kernel theory; dynamics analysis and control of fractional-order chaotic and reaction-diffusion systems; interdisciplinary applications in ecology, finance, neuroscience, and climate modeling; numerical algorithms
* wylnei@imut.edu.cn
Special Issue Information
Dear Colleagues,
Fractional diffusion models offer unique advantages in describing anomalous diffusion phenomena in complex systems, with wide applications in physics, biology, finance, environmental science, and related fields. In recent years, the role of random effects (e.g., noise, random initial conditions, random coefficients) in fractional diffusion models has attracted increasing attention.
This Special Issue aims to bring together recent theoretical advances, numerical methods, and practical applications of fractional diffusion models incorporating random effects. We welcome original research articles, comprehensive reviews, and short communications on topics including, but not limited to:
- Fractional-order reaction–diffusion models;
- Numerical solutions of fractional-order differential equations;
- Numerical methods for fractional differential equations;
- Analysis and control of dynamic behavior of complex systems;
- Numerical simulation of fractional models in engineering and natural sciences;
- Stochastic processes and noise modeling in fractional diffusion equations;
- Numerical methods for stochastic fractional diffusion models;
- Parameter estimation and uncertainty quantification;
- Applications in biological migration, financial volatility, environmental transport, etc.;
- Fractional stochastic differential equations;
- Data-driven modeling of fractional diffusion processes.
This Special Issue seeks to provide a platform for researchers in mathematics, physics, engineering, biostatistics, and related disciplines to foster cross-disciplinary advances in fractional diffusion models and stochastic methods.
Prof. Dr. Yulan Wang
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 250 words) can be sent to the Editorial Office for assessment.
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-order reaction–diffusion models
- numerical methods for fractional differential equations
- fractional stochastic differential equations
- analysis and control of dynamic behavior of complex systems
- stochastic processes and noise modeling in fractional diffusion equations
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