Space-fractional neutron diffusion equation with Riesz fractional derivative

  • Jeffrey Delantar Tare Philippine Nuclear Research Institute and Science Education Institute, Department of Science and Techonology
  • Alvie A. Astronomo Philippine Nuclear Research Institute, Department of Science and Technology

Abstract

Space-fractional neutron diffusion equation with Riesz fractional derivative of order 1 < α ≤ 2 is applied to well-known problems in neutron physics such as the one-group and two-group approximations of neutron diffusion from an infinite planar source. Using the Fourier-transform method, the corresponding neutron fluxes are derived and expressed in terms of Fox's H-function. Graphical representations of the neutron flux show that its maximum shifts upward in the fractional regime and deviates further from the non-fractional one (i.e., when α=2) as α decreases.

Published
2020-09-21
How to Cite
[1]
J. Tare and A. Astronomo. Space-fractional neutron diffusion equation with Riesz fractional derivative, Proceedings of the Samahang Pisika ng Pilipinas 38, SPP-2020-3F-06 (2020). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2020-3F-06.