In this paper, a high-order and efficient numerical technique is constructed to solve nonlocal
neutron diffusion equation with delayed neutrons representing neutron transport in a nuclear …

This paper focuses on development of an efficient numerical technique for approximation of
a fractional neutron diffusion equation with delayed neutrons for neutron flux profile in a …

It is well known that Espinosa-parades et al.(Espinosa-Paredes et al., 2011) proposed a
fractional neutron point kinetic (FNPK) model with multi-group of delayed neutrons to …

Fractional models of the Neutron Point Kinetic Equations have been developed to overcome
certain limitations related to the classical approaches, considering more general physical …

This paper present novel parallel computing algorithms for numerical solution of nonlinear
fractional-order (FO) models of nuclear reactor. These FO models arise by virtue of …

One of the most important issues with respect to nuclear reactors is power control. In this
study, we designed a fractional-order sliding mode controller based on a nonlinear fractional …

This book addresses the topic of fractional-order modeling of nuclear reactors. Approaching
neutron transport in the reactor core as anomalous diffusion, specifically subdiffusion, it …

Novel solutions to the fractional neutron point kinetic equations in terms of Caputo
derivatives are obtained for three different cases: 1) constant reactivity; 2) cold startup …

In this study, a fractional order proportional integral derivative (FOPID) controller is designed
to create the reference power trajectory and to conquer the uncertainties and external …

Fractional order neutron point kinetics equations are generalization of the classical neutron
point kinetics equations. The system of the fractional neutron point kinetics equations is …