q-Fractional Calculus/Differential Equations and Related Applications

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "General Mathematics, Analysis".

Deadline for manuscript submissions: closed (15 May 2024) | Viewed by 207

Special Issue Editors

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Guest Editor
Department of Mathematics Education, Silla University, Busan 46958, Republic of Korea
Interests: calculus; q-differential equations; analytic number theory; polynomial
* Assistant Professor

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Guest Editor
Department of Mathematics, Hannam University, Daejeon 34430, Republic of Korea
Interests: numerical verification method; scientific computing; differential equations; dynamical systems; quantum calculus and special functions
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Special Issue Information

Dear Colleagues,

Fractional differential equations, including quantum numbers, refer to the field of mathematics that finds applicability by modeling and designing concepts primarily employed in chemistry, mechanics, physics, and engineering. In addition, q-fractional difference calculus provides novel concepts by combining theories related to quantum numbers with the theory of classical calculus. Furthermore, q-calculus has further utility in quantum mechanics, where it maintains close relationships with commutativity relations and Lie algebras.

The aim of this Special Issue is present an overview of advanced research on quantum fractional differential equations, difference equations and computation, and improvements, extensions and generalizations to classical mathematical analysis, as well as related topics and applications.

Dr. Jung Yoog Kang
Prof. Dr. Cheon-Seoung Ryoo
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.


  • foundations of fractional analysis
  • fractional-order derivatives and integrals
  • fractional transforms
  • special functions
  • quantum calculus
  • linear and nonlinear fractional analysis
  • q-fractional differential equations
  • fractional differential equations
  • fractional partial differential equations
  • fractional continuous models
  • dynamical systems based on fractional calculus
  • fractional analysis applications
  • numerical analysis

Published Papers

There is no accepted submissions to this special issue at this moment.
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