Memory effects are needed to be described in the diffusion process modelling since there is inconsistent rate with the classical approach. In this paper, a mathematical model is presented for simulation drug release from Metformin Hydrochlo-ride/Vildagliptin tablets based on fractional derivative (FD) and memory-dependent derivative (MDD). Our problem is represented by a set of two numerically solved diffusion equations. For both the tablet and the release medium, the profiles of drug concentration and mass are given and compared to the in vivo profiles. Results indicate that the FD and MDD are better suited for temporal modelling.