  In this paper, we revisit some classical and recent works on modelling
slide-contact with wear and propose their generalisation. Namely, we upgrade
the relation between the pressure and the wear rate by incorporating some
non-local time-dependence. To this effect, we use a combination of fractional
calculus and relaxation effects. Moreover, we consider a possibility when the
load is not constant in time. The proposed model is analysed and solved. The
results are illustrated numerically and comparison with similar models is
discussed.
