doi: 10.1685/journal.caim.538

Slowing-down of neutrons: a fractional model

Felix Silva Costa, Eliana Contharteze Grigoletto, Jayme Vaz Jr, Edmundo Capelas de Oliveira


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.

Full Text: PDF


  • There are currently no refbacks.

Creative Commons License

This work is licensed under a Creative Commons Attribution NonCommercial NoDerivs 3.0 License.

Communications in Applied and Industrial Mathematics
ISSN: 2038-0909