This paper focusses on the numerical solution of the nonlinear time-fractional telegraph
equation formulated in the Caputo sense. This model is a useful description of the neutron …

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 …

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 …

A new model of fractional telegraph point reactor kinetics FTPRK is introduced to
approximate the time dependent Boltzmann transport equation considering new terms that …

The objective of this work is the analysis of subdiffusive processes in BWR reactors. Nuclear
reactors are highly heterogeneous systems where the phenomena at the reactor scale are …

This work presents a novel solution to Fractional-model equations, it is based on the
applying of conformal derivative to fractional calculus and thus obtain a linear multi-term …

In this paper, we construct and analyze an efficient numerical scheme based on graded
meshes in time for solving the fractional neutron diffusion equation with delayed neutrons …

In this work, a novel numerical solution to modified Fractional Neutron Point Kinetic (FNPK)
equations is presented. The method is based on a numerical solution to linear multi-term …

The aim of this work is to explore the effect of the double subdiffusion on the stability in
BWRs. A BWR novel reduced order model with double subdiffusion effects: reduced order …