Fractional Order Systems: Deterministic and Stochastic Analysis II
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Probability and Statistics".
Deadline for manuscript submissions: closed (31 December 2022) | Viewed by 11146
Special Issue Editor
Interests: abstract differential equations; fractional calculus; control theory
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
The field of fractional dynamic systems has become very popular and 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 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 which have been obtained from 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:
- 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
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