Slowing-down of neutrons: a fractional model

Abstract

The fractional version for the diffusion of neutrons in a material medium is studied. The concept of fractional derivative is presented, in the Caputo and Riesz senses. Using this concept, we discuss a fractional partial differential equation associated with the slowing-down of neutrons, whose analytical solution is presented in terms of Fox's H function. As a convenient limiting case, the classical solution is recovered.