Applied Mathematics
分数阶非线性空间依赖反应堆动力学
Fractional-order nonlinear space-dependent reactor kineticsA theoretical framework describing the time evolution of neutron population and reactivity in a nuclear reactor using fractional-order differential equations to model anomalous diffusion and memory effects / 一种理论框架，利用分数阶微分方程描述核反应堆中中子种群和反应性的时间演化，以模拟异常扩散和记忆效应。
- Knowledge type
- 自然理论
- First proposed or discovered
- Proposer
- Turkey Farm member
- Creator
- 农场主
- Last updated
- 2026-10-24 19:01:26
Sub-knowledge points
Stability analysisApproximation via comparison principles
Higher-order knowledge points
Reactor physicsFractional calculus applications
Main parameters and performance indicators
order: Fractional order parameter (e.g., α) representing the degree of non-localityspace-dependence: Spatial variable describing the reactor geometrynonlinearity: Non-linear terms in the kinetic equations
Open problems
Exact analytical solutions for complex reactor geometriesOptimal parameter estimation for fractional-order models
Related literature
ranked by community starsFractional-order nonlinear space-dependent reactor kinetics: Stability and approximation via comparison principlesOpen source
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