ABSTRACT
We investigate the solutions for fractional diffusion equations subjected to reactive boundary conditions. For this, we consider the system defined in a semi-infinity medium and the presence of a surface, which may adsorb, desorb and/or absorb particles from the bulk. The particles absorbed from the bulk by the surface may promote, by a reaction process, the formation of other particles. The particle dynamics is governed by generalized diffusion equations in the bulk and by kinetic equations on the surface; consequently, memory effects are taken into account to enable an anomalous diffusion approach and non-Debye relaxations. The results exhibit a rich variety of behaviour for the particles, depending on the choice of characteristic times present in the boundary conditions or the fractional index present in the modelling equations.
