  The framework of a kind of noncanonical warm inflation is introduced, and the
dynamical equations of this scenario are presented. We propose the slow roll
approximations and give some redefining slow roll parameters in this scenario
which remain dimensionless. Performing systemic stability analysis, we
calculate the slow roll conditions to guarantee that slow roll approximations
hold. The slow roll conditions suggest slow roll inflation in general
noncanonical warm inflationary scenario can still exist, and in addition, the
slow roll approximations are more easily to be satisfied. Then, a concrete
Dirac-Born-Infeld warm inflationary model is studied.
