Applications of Fractals and Fractional Calculus in Nuclear Reactors
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: closed (25 April 2025) | Viewed by 606
Special Issue Editor
Interests: fractional neutron point kinetic equations; nuclear energy; upscaling nuclear reactors; stability analysis in nuclear reactors; fractional model
Special Issue Information
Dear Colleagues,
Fractional calculus has been applied in several areas in the last 45 years, including physics, electrical engineering, robotics, signal processing, chemical, bioengineering, and mathematics, but mostly in chaos and control theory. In the field of nuclear science and technology, its history is much shorter; however, there has been a significant rise in its application since 2010. Fractional models of nuclear science and technology have been developed to overcome certain limitations related to the classical approaches, considering more general physical scenarios and non-local and memory effects in the modeling of the neutron population. Due to the advances and results achieved in nuclear science and technology in the last 15 years, many researchers have great interest in this field of research, which contributes to the more realistic description of nuclear power reactors. This Special Issue on "Applications of Fractals and Fractional Calculus in Nuclear Reactors" is dedicated to analyzing nuclear reactor dynamics with fractals and fractional modeling.
Prof. Dr. Gilberto Espinosa Paredes
Guest Editor
Manuscript Submission Information
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Keywords
- Nuclear Reactor analysis
- fractal mathematical modeling
- fractional mathematical modeling
- fractional compartmental models
- Mittag-Leffler kernel
- stability analysis
- semi-analytical method
- analytical and numerical methods
- symmetry analysis and conservation laws
- numerical and computational methods
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