Theoretical Analysis and Numerical Simulation for Fractional Dynamics and Fractional Calculus
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Numerical and Computational Methods".
Deadline for manuscript submissions: closed (15 August 2024) | Viewed by 1954
Special Issue Editors
Interests: stochastic dynamical systems; neural networks; numerical methods; fractional-order PID control
Interests: fractional-order system; statistical analysis
Special Issue Information
Dear Colleagues,
Fractional calculus and its applications have gained considerable popularity and importance because of their applicability to many seemingly diverse and widespread fields in science and engineering. Many operations in physics and engineering can be accurately defined by using fractional operators to model complex phenomena. Viscoelasticity is chief among them, as the general fractional calculus approach to viscoelasticity has evolved as an empirical method of describing the properties of viscoelastic materials.
Fractional dynamics refers to the application of the theory of fractional calculus to investigate the dynamical properties of some dynamical systems. These systems often appear in fields such as physics, signal processes, biology, control, and structural engineering, and they generally contain non-integer-order differentiation or integration operations, in order to describe the long-time memory of the systems.
The focus of this Special Issue is on advanced research in theoretical analysis on topics relating to the development of fractional calculus theory; fractional-order operator design; and the analysis of dynamical properties including the stabilization, response, reliability, and control of fractional-order systems. The topics of the newest established technique range from numerical simulation to fractional dynamics. Topics that are invited for submission include (but are not limited to):
- Fractional-order calculus theory;
- Fractional-order oscillator designs and realizations;
- Fractional-order control systems and implementation;
- Digital and numerical approximations for solutions of fractional-order systems;
- Stabilization of the fractional dynamical system;
- Response of the fractional dynamical system;
- Applications of fractional-order dynamical systems.
Dr. Guidong Yang
Dr. Dongmei Huang
Guest Editors
Manuscript Submission Information
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Keywords
- fractional calculus
- fractional integration
- fractional derivative
- dynamical systems
- stabilization
- system response
- fractional-order system control.
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