ABSTRACT
The term neutron transport denotes the study of the motions and interactions of neutrons with the atomic nuclei of the medium. The fractional neutron transport equation represents a linear case of the Boltzmann equation, and it has many applications in physics as well as in engineering. The neutron transport model in a nuclear reactor is an anomalous diffusion process. Anomalous diffusion is different from the normal diffusion and is characterized by features like slower or faster movement of diffusing particles. A useful characterization of the diffusion process is again through the scaling of the mean square displacement with time, which can be defined as x t t2 1( ) ,∼ γ γ ≠ . Diffusion is then classified through the scaling index γ. The
case γ = 1 is a normal diffusion, and all other cases are termed anomalous. The cases γ > 1 form the family of superdiffusive processes, including the particular case γ = 2, which is called ballistic diffusion, and the cases γ < 1 are the subdiffusive processes. Hence, the solution of the fractional order transport model characterizes the dynamics of an anomalous process [99-101].
