Caputo Fractional Difference Equations and Its 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: 30 July 2024 | Viewed by 257

Special Issue Editors

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Guest Editor
1. School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou 510665, China
2. Department of Mathematics, Center for Dynamics, Technische Universität Dresden, 01069 Dresden, Germany
Interests: fractional calculus and its applications; pure mathematics

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Guest Editor
Faculty of Computer Science, Bialystok University of Technology, Wiejska 45A, 15-351 Bialystok, Poland
Interests: fractional-order systems; dynamical systems; numerical analysis; stability analysis; mathematical modeling
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Special Issue Information

Dear Colleagues,

Fractional difference equations have gained significant attention in recent years due to their wide-ranging applications in various fields, including mathematics, physics, engineering, biology, finance, and more. These equations provide a powerful framework for modeling complex phenomena with memory and have led to innovative solutions for real-world problems. This Special Issue aims to highlight the latest developments in the theory and applications of Caputo fractional difference equations. 

Topics of Interest: We invite researchers to contribute original research articles, reviews, and case studies on topics including, but not limited to, the following:

  • Theoretical aspects of Caputo fractional difference equations.
  • Numerical methods and computational techniques for solving fractional difference equations.
  • Caputo Fractional difference equations in mathematical modeling.
  • Caputo Fractional difference equations in physics, biology, and engineering.
  • Caputo Fractional difference equations in finance and economics.
  • Caputo Fractional difference equations in signal processing and control.
  • Existence and uniqueness results for solutions of Caputo fractional difference equations.
  • Stability analysis and bifurcation theory for Caputo fractional difference equations.
  • Caputo Fractional difference equations with applications in image processing and data analysis.
  • Caputo Fractional difference equations in optimization and machine learning. 

Dr. Churong Chen
Dr. Dorota Mozyrska
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.


  • caputo fractional difference equations
  • mathematical modeling
  • stability analysis
  • numerical methods

Published Papers

This special issue is now open for submission.
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