  We study anomalous transport in a one-dimensional system with two conserved
quantities in presence of thermal baths. In this system we derive exact
expressions of the temperature profile and the two point correlations in steady
state as well as in the non-stationary state where the later describes the
relaxation to the steady state. In contrast to the Fourier heat equation in the
diffusive case, here we show that the evolution of the temperature profile is
governed by a non-local anomalous heat equation. We provide numerical
verifications of our results.
