chapter  5
Classical and Fractional Order Stochastic Neutron Point Kinetic Model
Pages 30

Point kinetic equations represent the most important models in the field of nuclear science and engineering. The modeling of these equations characterizes the time-dependent behavior of a nuclear reactor [24,32,53,60]. Noise in reactors can be described by conventional point reactor kinetic equations (PRKEs) with fluctuation introduced in some of the parameters. Such equations may be referred to as stochastic PRKE. Power reactor noise analysis may be viewed as the study of a reactor’s response to a stochastic reactivity or source input. The difficulty of solving stochastic PRKEs arises from the fact that they are nonlinear. The stochastic behavior of a point reactor is modeled with a system of Ito stochastic differential equations (SDEs).