Symmetries and Fractional Differential Equations: Theory and Applications

Dear Colleagues,

Fractional differential equations have emerged as a powerful tool for modeling complex systems across various fields, including engineering, physics, biology, and finance. These equations extend classical differential equations by introducing non-integer derivatives, enabling the capture of memory and hereditary properties within dynamic systems. Symmetry relations in fractional differential equations are particularly important, as they help simplify complex models, reveal conservation laws, and provide insights into the stability and behavior of these systems.

The aim of this Special Issue, "Symmetries and Fractional Differential Equations: Theory and Applications", is to explore the interplay between symmetry and fractional calculus and to advance both theoretical and practical applications of these equations. We invite contributions that delve into the theory of fractional differential equations, fractal derivatives, and advanced numerical methods such as low-rank approximations and Krylov subspaces. Submissions related to symmetry-breaking, nonlinear dynamics, chaotic systems, and their applications in various scientific and engineering domains are also highly encouraged.

Submit your paper and select the Symmetry journal and the Special Issue "Symmetries and Fractional Differential Equations: Theory and Applications" via the MDPI submission system. Papers will be published on a rolling basis, and we look forward to receiving your submission once it is completed.

Prof. Dr. Lakhlifa Sadek
Dr. Ioannis Dassios
Prof. Dr. Ishak Bin Hashim
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 250 words) can be sent to the Editorial Office for assessment.

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-anonymized peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry 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 2400 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.