Advances in Existence Theory and Stability of Variable Fractional Systems

Dear Colleagues,

This Special Issue focuses on recent developments in the analysis of variable fractional systems, with an emphasis on existence theory and stability results. Variable fractional models have gained increasing attention due to their ability to capture memory and hereditary effects in complex, real-world phenomena more accurately than classical models. The issue aims to bring together a collection of articles addressing fundamental questions such as the existence and uniqueness of solutions, stability under perturbations, and asymptotic behavior of solutions to name a few. Both theoretical results and applications are presented, which can cover a range of methods including fixed point theorems, variational techniques, and Lyapunov-based approaches. Special attention is given to systems with time-varying, state-dependent, or distributed-order fractional operators. By offering a variety of rigorous mathematical analysis and applicable frameworks, the issue aims to advance our understanding of fractional systems whose order of differentiation is not fixed, as well as open new avenues for modeling in fields such as viscoelasticity, control theory, and anomalous diffusion.

Dr. Mustafa Avci
Dr. Nguyen Thanh Chung
Dr. Shapour Heidarkhani
Dr. Francisco Martinez
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-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.