Dear Colleagues,

Many problems in classical and quantum physics, statistical physics, engineering, biology, psychology, economics, and finance are of a global nature (rather than simply local) and their behavior is often characterized by long-range correlations in the time–space domain, memory effects, fractality, and power law dynamics. The fractional calculus and fractional processes have been extensively adopted in various areas and have become one of the most useful approaches to deal with particular properties of non-locality and representation of (long) memory effects in a myriad of applied sciences. Indeed, the fractional paradigm applies not only to calculus but also to stochastic processes. Moreover, big data analysis, organization, retrieval, and modeling are important tools for a computational approach to address complex, fractal, and fractional dynamics.

This Special Issue (SI) is important, not only to present the state of the art for complex, fractal, and fractional dynamics and their applications, but also to reveal the potential and the extension of those tools to model real world phenomena. Original, rigorous, and high-quality contributions are welcome to this SI and should fit the scope of the journal. Potential authors should address topics that include, but are not limited to, the following:

• Memory (univariate and multivariate) models;
• Complex and fractional modeling for time series;
• Complex and fractional modeling in econophysics;
• Complex and fractional approaches in biosystems and biophysics;
• Complex and fractional dynamics in oncology;
• Mathematical psychology;
• Fractals;
• Fractal-Fractional order mathematical models;
• Fractional non-linear dynamics and chaos;
• Big data in complex and fractional dynamics;
• Fractional order advanced control systems: cyber-physical systems, machine learning, robotics, mechanical systems, etc.

Dr. Alexandra M.S.F. Galhano
Prof. Dr. Sergio Adriani David
Dr. António Lopes
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.

• fractional-order systems
• memory
• econophysics
• time series
• finance
• economics, big data
• complex systems
• biosystems
• fractals