Fractional Porous Medium Type and Related Equations
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "General Mathematics, Analysis".
Deadline for manuscript submissions: 15 March 2025 | Viewed by 93
Special Issue Editor
Special Issue Information
Dear Colleagues,
Many diffusion processes in nature exhibit anomalous behavior and cannot be modeled by classical diffusion equations (e.g., the heat equation), the classical porous medium equation, or by the classical parabolic p-Laplacian equation.
Subdiffusion is an important special case of anomalous diffusive behavior. It has been experimentally observed in many diffusion processes (e.g., diffusion in amorphous semiconductors) that particles diffuse slower than in the classical case, which can be described by Brownian motion and which leads to the heat equation or some nonlinear version of this equation.
Time-fractional porous medium and related equations, however, are suitable to describe such subdiffusion processes.
They are also able to describe many other diffusion processes where memory effects play a substantial role. These include heat conduction in materials with memory or diffusion processes in porous media with memory effects.
The aim of this volume is to present recent results for fractional porous medium and related equations (possibly involving stochastic perturbation).
The main focus is on the existence, uniqueness, and stability of the solutions of these equations, as well as on their efficient numerical approximation.
Prof. Dr. Petra Wittbold
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
- time-fractional porous medium and related equations
- subdiffusion processes
- memory effects
- stochastic perturbation
- numerical approximation
Benefits of Publishing in a Special Issue
- Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
- Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
- Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
- External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
- e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.
Further information on MDPI's Special Issue polices can be found here.
