Advanced Numerical Methods for Fractional Functional Models

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 April 2025 | Viewed by 49

Special Issue Editors


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Guest Editor
Department of Mathematics, Near East University TRNC, Mersin 10, Turkey
Interests: analytical methods; numerical methods; fractional differential equations; wave propagation; mathematical physics; nonlinear partial differential equations
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Guest Editor
Department of Mathematics, Near East University TRNC, Mersin 10, Turkey
Interests: numerical analysis; fractional integral equations; fractional partial differential equation; mathematical models
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul 34349, Turkey
Interests: fuzzy systems; fractional modelling; optical solitons; applied artificial intelligence
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
Department of Mathematics, Near East University TRNC, Mersin 10, Turkey
Interests: lie groups; geometry; differential geometry; pure mathematics; Riemannian geometry; fractional differential equations

Special Issue Information

Dear Colleagues,

Many powerful techniques such as partial differential equations, integral equations, and integro-differential equations have been used to model a wide variety of nonlinear phenomena from nonlinear optics to plasma physics, circuit theory, and biology. Although the usefulness of such techniques in modeling nonlinear phenomena is undeniable, researchers have faced problems in achieving the necessary efficiency to do so. Today, these problems are mitigated when such techniques are used in combination with fractional operators, which is the subject of much research. Such problems can be handled with a wide range of useful methods including finite difference methods, radial basis function methods, and spectral methods (collocation, Galerkin, and Tau). The key goal of the current Special Issue is to present the latest research on the solutions to the above problems involving fractional operators using advanced numerical methods. Original research and review articles are highly welcomed. Potential topics include but are not limited to the following:

  • Advanced numerical methods for fractional partial differential equations;
  • Advanced numerical methods for fractional integral equations;
  • Advanced numerical methods for integro-differential equations involving fractional operators;
  • Advanced numerical methods for systems of fractional differential equations;
  • Advanced numerical methods for systems of fractional functional models.

Dr. Kamyar Hosseini
Dr. Khadijeh Sadri
Prof. Dr. Evren Hınçal
Prof. Dr. Soheil Salahshour
Dr. Farzaneh Alizadeh
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

  • numerical methods
  • approximation methods
  • fractional differential equations
  • fractional partial differential equations
  • fractional integral equations
  • fractional functional models

Published Papers

This special issue is now open for submission.
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