A generalized heat-conduction equation which accounts for nonlocal, nonlinear,non-local, non-linear, and relaxation effects, is derived.
The heat flux is supposed to be proportional to the gradient of the dynamical temperature.
The material functions are allowed to depend on temperature.
Several enhanced heat equations proposed recently in literature are obtained.
Comparison is made with the heat equation of Thermomass Theory.
It is pointed out that the heat flux is limited from above by a maximum value.