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

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.

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Communications in Applied and Industrial Mathematics
ISSN: 2038-0909