Fractional Order Modelling of Dynamical Systems
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Engineering".
Deadline for manuscript submissions: 31 March 2026 | Viewed by 791
Special Issue Editor
2. Department of Mathematics and Physics, University of Campania “Luigi Vanvitelli”, 81100 Caserta, Italy
Interests: fractional derivatives; mathematical biology; fluid dynamics; dynamical systems
Special Issue Information
Dear Colleagues,
The study of fractional differential equations, which involve derivatives and integrals of non-integer orders, has gained significant momentum in recent years due to their ability to model complex phenomena with memory and hereditary properties. These equations provide a more accurate and flexible framework for describing processes in a wide range of disciplines, including physics, biology, engineering, finance, and materials science.
This Special Issue aims to bring together cutting-edge research in the theory, analysis, numerical methods, and applications of fractional differential equations. We are particularly interested in innovative methodologies and modelling strategies that demonstrate the power of fractional calculus in capturing the dynamics of real-world systems, as well as interdisciplinary studies where fractional models provide new insights or improved results.
We welcome original research articles and review papers that address, but are not limited to, the following topics:
- Theoretical advances in fractional differential equations;
- Analytical and numerical methods for solving fractional-order models;
- Stability, control, and bifurcation analysis of fractional dynamical systems;
- Applications of fractional models in physics, engineering, biology, and other sciences;
- Fractional order modelling in fluid mechanics;
- Fractional-order modelling of viscoelastic, diffusive, and memory-dependent systems;
- Fractional order models in epidemiology;
- Computational techniques and software tools for fractional systems;
- Comparisons of classical and fractional modelling approaches.
We look forward to receiving contributions that will foster progress in this vibrant and interdisciplinary field.
Dr. Zubair Ahmad
Guest Editor
Manuscript Submission Information
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Keywords
- fractional derivatives
- numerical methods of fractional order systems
- fractional dynamical systems
- stability analysis
- fractional models in fluid dynamics
- disease dynamics and epidemiology
- fractional modelling with applications
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