# Space-fractional neutron diffusion equation with Riesz fractional derivative

### 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.

*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.