  We formulate and solve the diffusion equation over a previously studied field
$\mathcal{R}$, whose construction was motivated by the Tsallis entropy
composition property. We compare this solution with the solutions of the
diffusion and of the porous medium equations. We comment on the asymptotics of
such solutions for large values of their spatial and temporal variables. We
present conclusions for the generalised operations inspired by the Tsallis
entropy composition and their relations to hyperbolicity.
