  In the cold inflation scenario, the slow roll inflation and reheating via
coherent rapid oscillation, are usually considered as two distinct eras. When
the slow roll ends, a rapid oscillation phase begins and the inflaton decays to
relativistic particles reheating the Universe. In another model dubbed warm
inflation, the rapid oscillation phase is suppressed, and we are left with only
a slow roll period during which the reheating occurs. Instead, in this paper,
we propose a new picture for inflation in which the slow roll era is suppressed
and only the rapid oscillation phase exists. Radiation generation during this
era is taken into account, so we have warm inflation with an oscillatory
inflaton. To provide enough e-folds, we employ the non-minimal derivative
coupling model. We study the cosmological perturbations and compute the
temperature at the end of warm oscillatory inflation.
