Fractional Order Systems: Deterministic and Stochastic Analysis, 3rd Edition

Dear Colleagues,

The field of fractional dynamic systems has become very popular and has already attracted many scientists and research groups from around the world. Its main advantage is in the modeling of several complex phenomena, with the best results seen in numerous seemingly diverse and widespread areas of science and engineering. Since such developments are currently considered essential in applied sciences, it is very important to focus on possible novelties of the most promising new directions and open problems that have been formulated based on modern techniques and approaches indicated in the latest scientific achievements.  

Additionally, the theory of stochastic processes is considered to be an important contribution to probability theory and continues to be an active topic of research for both theoretical reasons and applications. The word “stochastic” is used to describe many terms and objects in mathematics. Examples include the stochastic matrix, which describes a stochastic process known as a Markov process; and stochastic calculus, which involves differential equations and integrals based on stochastic processes such as the Wiener process, also called the Brownian motion process.

In this open call for papers, we strictly invite strong and interesting contributions providing original results that have been obtained using modern computational techniques of theoretical, experimental, and applied aspects of both deterministic and stochastic fractional dynamic systems. We also strongly encourage young researchers/PhD students who have achieved exciting results while supervised and guided by their scientific advisors to submit their works to this Special Issue. It is necessary that papers have a high-level mathematical ground. Note that submitted papers should explicitly meet the Aims and Scope of the Fractal Fract journal.

Topics to be included are as follows:

• Appropriate fractional derivative senses in applied sciences;
• Computational methods for fractional dynamical systems;
• Fractional inverse problems: modeling and simulation;
• Cancer dynamic fractional systems: optimality and modeling;
• Optimal control for fractional models of HIV/AIDS infection;
• Latest advancements on COVID-19 pandemic fractional systems;
• Continuous and discrete fractional systems with randomness;
• Uncertainty quantification for random fractional dynamic systems;
• Stochastic analysis for fractional mathematical models;
• Instantaneous impulsive fractional equations and inclusions;
• Applications of fractional problems in science and engineering;
• Implementation methods and simulations for fractional models;
• Fractional reaction–diffusion and Navier–Stokes equations;
• Automorphic and periodic solutions for fractional systems;
• Approximation methods for fractional order systems;
• Stochastic processes involving fractional PDEs;
• Control and optimization for fractional systems;
• Variable-order differentiation and integration;
• Heat transfer involving local fractional operators;
• Waves, wavelets, and fractals: fractional calculus approach.

Prof. Dr. Amar Debbouche
Guest Editor

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 dynamical systems
• fractional inverse problems
• fractional mathematical models
• fractional PDEs
• fractional operators