Stochastic Dynamical Systems with Fractional Derivative: Theoretical Analysis and Numerical Simulation
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Engineering".
Deadline for manuscript submissions: 15 August 2026 | Viewed by 50
Special Issue Editors
Interests: fractional-order PID control; stochastic dynamical systems; neural networks; numerical methods
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Random vibration is a common phenomenon in the field of structural engineering systems, especially when a system is excited by a random loading, such as air turbulence in aerospace, a strong wave in the ocean, mechanical shock in electric power and earthquakes in building constructions. Correspondingly, the response of such stochastic dynamical systems under random excitation is always an important issue for understanding a structure’s performance.
On the other hand, 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 defined accurately 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.
This Special Issue will focus on advanced research on theoretical analysis on topics related to the theoretical development of fractional calculus, fractional-order operator design, and dynamical properties analysis including the stabilization, response, reliability and control of stochastic structural systems in engineering under random excitation with fractional derivative damping. Papers on newly established techniques related to the numerical simulation of fractional dynamics are also welcome. Topics of interest include the following:
- Response of stochastic dynamical system with fractional derivative damping;
- Reliability of stochastic dynamical system with fractional derivative damping;
- Fractional-order controller designs and realizations;
- Optimization of fractional-order controlled systems;
- Intelligent algorithm for solutions of stochastic dynamical system with fractional derivative;
- Digital and numerical approximations for solutions of fractional-order systems;
- Stabilization of the fractional dynamical system;
- Applications of fractional-order dynamical systems.
Prof. Dr. Wei Li
Prof. Dr. Nataša Trišović
Guest Editors
Manuscript Submission Information
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Keywords
- fractional calculus
- fractional integration
- fractional derivative
- stochastic dynamical systems
- stabilization
- system response
- fractional-order controller
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