E.-G. Espinosa-Martínez

TL;DR: In this paper, a fractional point-neutron kinetics model for the dynamic behavior in a nuclear reactor is derived and analyzed, which retains the main dynamic characteristics of the neutron motion in which the relaxation time associated with a rapid variation in the neutron flux contains fractional order.

TL;DR: In this paper, a fractional wave equation for the average neutron motion in nuclear reactor is considered and detrended fluctuation analysis (DFA) method is presented to estimate the fractional exponent.

TL;DR: In this paper, the authors evaluate the sensitivity and uncertainty of the anomalous diffusion coefficient in the fractional Neutron Point Kinetics (FNPK) equations through Monte Carlo simulations of sizes up to 65,000.

TL;DR: In this paper, the numerical analysis of fractional neutron point kinetics (FNPK) equations with temperature feedback effects is presented, where the authors consider a relaxation time associated with a rapid variation in the neutron flux density considered in the differential operator known as anomalous diffusion exponent.

TL;DR: In this article, the authors carried out the numerical analysis of the fractional Neutron Point-Kinetics (FNPK) model for two simple cases of reactivity insertion processes.