  Here, the quartic inflationary potential $V(\phi)=\frac{\lambda}{4}\phi^4$ in
non-canonical framework with a power-law Lagrangian is investigated. We
demonstrate that the predictions of this potential in non-canonical framework
align with the observational data of Planck 2018. We determine how the
predictions of the model vary with changes in the non-canonical parameter
$\alpha$ and the number of $e$-folds $N$. The sound speed, non-Gaussianity
parameter, scalar spectral index, and tensor-to-scalar ratio are all influenced
by $\alpha$. However, the scalar spectral index exhibits degeneracy with
respect to changes in $\alpha$. It is found that, this degeneracy does not
break through reheating consideration. But the length of the reheating epoch
constrains the length of the inflation period and the value of $\alpha$.
Therefore, we investigate relic gravitational waves (GWs) and show that, the
degeneracy of the model with respect to the $\alpha$ parameter can be broken
using the relic GWs. Additionally, the density of relic GWs falls within the
sensitivity range of GWs detectors for the specific $e$-folds number between 55
and 55.7.
