The adsorption-desorption phenomenon is investigated with the help of a modified kinetic equation at the interface fluid-substrate. This equation incorporates memory effects in the process by means of three different kernels, whose importance is associated to the predominance of chemisorption or physisorption in the adsorption-desorption processes. The time evolution of the density of adsorbed particles is exactly calculated. The results are shown to be relevant for adsorption phenomenon in general and, in particular, for the phenomenon of adsorption with oscillation, for which a comparison with the experimental data from adsorption of organosilane on oxides surfaces reveals a good agreement. (c) 2007 Elsevier B.V. All rights reserved.