Stochastic Models, Fractional Calculus and Non-Local Operators: Theoretical Results and 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: 1 March 2026 | Viewed by 106
Special Issue Editors
Interests: fractional stochastic processes such as fractional Brownian motion and its modifications; fractional integration of stochastic processes; fractional queuing models; development of numerical algorithms and simulation techniques; semi-Markov processes and time-changed processes; fractional calculus for discrete processes
Special Issues, Collections and Topics in MDPI journals
Interests: stochastic processes and their governing differential equations; Lévy processes linked to fractional differential equations; subordination theory and processes with random time; anomalous diffusions and grey noises
Interests: subordination; fractional operators; Levy processes
Special Issue Information
Dear Colleagues,
This is an invitation to submit your contributions to a Special Issue focusing on the latest advancements in the theory and application of fractional calculus and non-local operators within stochastic processes. This Special Issue aims to showcase cutting-edge research in areas including, but not limited to, the following: time-changed stochastic processes, fractional stochastic processes, fractional integral and differential operators, and theoretical modeling.
We would also like to encourage submissions that explore fractional stochastic models in diverse fields such as biomathematics, finance and population dynamics. Further areas of interest include statistical analysis of fractional models, numerical evaluations and simulation of these models, partial differential equations involving non-local operators, fractional Brownian motion, fractional diffusion processes and fractional stochastic differential equations. The goal of this Special Issue is to gather the most recent and relevant results in this dynamic area of research. The topics align with those that will be discussed at the FCPNLO2025 conference (https://sites.google.com/view/fcpnlo2025/home-page) in Caserta, Italy, where many of these topics will be presented by leading experts.
Prof. Dr. Enrica Pirozzi
Prof. Dr. Luisa Beghin
Dr. Janusz Gajda
Dr. Lauri Viitasaari
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
- statistical analysis of fractional models
- fractional Brownian motion
- fractional diffusion processes
- fractional stochastic differential equations
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