Analysis of the fractional neutron point kinetics (FNPK) equation

•Numerical analysis of the fractional neutron point kinetics (FNPK) equations.•Effect of the each term between fractional derivatives of the FNPK.•The fractional derivative of the source term is negligible.•FNPK model is simplified. The aim of this work is investigate the effects of each term of fractional neutron point kinetics (FNPK) equations. The FNPK approach includes three fractional derivatives, which are explored in this work to understand their effect on the neutron density, the concentration of neutron precursors, and the source term. According with the results of the numerical experiments, the derivative with respect to time of the source term is negligible and the FNPK is simplified.