Mathematical and Numerical Analysis of Fractional Evolution Equations and Applications

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: 1 November 2025 | Viewed by 50

Special Issue Editors


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Guest Editor
Department of Mathematics, University of Kwazulu-Natal, Durban 4041, South Africa
Interests: numerical analysis of PDEs; spectral methods; fractional PDEs
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Guest Editor
Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal 148106, India
Interests: numerical analysis; mathematical modelling; finite elements
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
Department of Mathematics, University of Kwazulu-Natal, Durban 4041, South Africa
Interests: numerical analysis; linear algebra; fixed point theory
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

In recent years, there has been significant interest in the application of fractional equations in mathematics and physics. In particular, many classical models have been reformulated in terms of fractional methods. In this Special Issue, we focus on both theoretical and numerical methods for solving fractional evolution equations. Mathematical models that involve fractional derivatives in both space and time, in addition to distributed parameter systems, are within the scope of this Special Issue. The following methods also fall within the scope of this Special Issue:

  • Orthogonal collocation method
  • B-spline collocation methods
  • Orthogonal collocation on finite elements
  • Pseudo-spectral collocation methods
  • Sinc collocation methods
  • Differential quadrature methods
  • Wavelet collocation methods
  • Analytic methods
  • Compact finite differences

Dr. Naben Parumasur
Prof. Dr. Vijay Kumar Kukreja
Dr. Pravin Singh
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 PDEs
  • numerical solutions
  • exact solutions
  • fractional Sobolev spaces
  • distributed parameter systems
  • solitary and travelling waves

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Published Papers

This special issue is now open for submission.
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