  We consider the radiative transport equation in which the time derivative is
replaced by the Caputo derivative. Such fractional-order derivatives are
related to anomalous transport and anomalous diffusion. In this paper we
describe how the time-fractional radiative transport equation is obtained from
continuous-time random walk and see how the equation is related to the
time-fractional diffusion equation in the asymptotic limit. Then we solve the
equation with Legendre-polynomial expansion.
