On the fractional neutron point kinetics equations

Abstract

This work proposes a fractional derivative model for some anomalous neutron diffusion phenomena in nuclear reactors. The model is solved in terms of the neutron flux density and current. The fractional diffusion model displayed may be applied to large variations neutron cross-section that normally prevent the use of the classic model of the neutron diffusion equation. In this chapter we present a new method and approach for solving the fractional neutron kinetics equations and several precursor groups using the decomposition method.