Slowing-down of neutrons: a fractional model

@article{Costa2015SlowingdownON,
  title={Slowing-down of neutrons: a fractional model},
  author={F. Costa and E. C. Grigoletto and J. Vaz and E. C. Oliveira},
  journal={Communications in Applied and Industrial Mathematics},
  year={2015},
  volume={6}
}
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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