The neutron point kinetics equation: Suppression of fractional derivative effects by temperature feedback

A Riemann-Liouville fractional derivative point kinetics model is discussed with additional temperature feedback. The choice for the Riemann-Liouville definition is justified by preservation of homogeneity and integral transform properties. An analytical representation for the time dependent neutron density is derived for any fractional order and any relaxation time scale by the use of a recursive decomposition scheme. Without temperature effects scenarios with constant positive and negative, linear and oscillatory time dependent reactivity are presented. The case with additional temperature effects is solved and results are presented. The latter case showed that for a selection of fractional derivative parameter effects on the neutron density are completely suppressed.