Fractional Diffusion Equations: Numerical Analysis, Modeling and Application, 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: 30 November 2024 | Viewed by 68

Special Issue Editors

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Guest Editor
School of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Interests: numerical solution of partial differential equations; image-processing technology; nonlinear reaction diffusion equations and their applications; AI and big data processing
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
Department of mathematics and statistics, Changshu Institute of Technology, Suzhou 215500, China
Interests: numerical analysis in the reproducing kernel Hilbert space; numerical analysis of fractional differential equations
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Differential equations with fractional order derivatives have important applications in physics, chemical and control systems, signal processing and so on. The fractional diffusion model is a fundamental mathematical model for the evolution of probability densities. Analytical methods for solving such equations are scarcely effective, so we must resort to numerical methods.

This Special Issue will be devoted to collecting recent results on the theory, numerical methods and application of fractional diffusion equations and other fractional differential equations. Topics that are invited for submission include (but are not limited to):

  • Theory results and numerical methods for fractional diffusion equations;
  • Application of fractional diffusion equations;
  • Numerical methods for fractional oscillating differential equations;
  • Approximation methods for nonsmoth functions;
  • Numerical methods for singular integral equations;
  • Models for fractional differential equations;
  • Theory and numerical methods for fractional order system identification;
  • Application of fractional order system identification.

Feel free to read and download all our published articles in the 1st volume:

Prof. Dr. Boying Wu
Dr. Xiuying Li
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at 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.


  • fractional diffusion equations
  • fractional oscillating differential equations
  • nonsmoth functions
  • singular integral equations
  • fractional order system identification
  • modeling
  • application

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Published Papers

This special issue is now open for submission.
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