  We study inflation within the framework of non-canonical scalar field. In
this scenario, we obtain the inflationary observables such as the scalar
spectral index, the tensor-to-scalar ratio, the running of the scalar spectral
index as well as the equilateral non-Gaussianity parameter. Then, we apply
these results for the exponential and inverse power-law potentials. Our
investigation shows that although the predictions of these potentials in the
standard canonical inflation are completely ruled out by the Planck 2015
observations, their results in non-canonical scenario can lie inside the
allowed regions of the Planck 2015 data. We also find that in non-canonical
inflation, the predictions of the aforementioned potentials for the running of
the scalar spectral index and the equilateral non-Gaussianity parameter are in
well agreement with the Planck 2015 results. Furthermore, we show that in the
context of non-canonical inflation, the graceful exit problem of the
exponential and inverse power-law potentials is resolved.
