Observational constraints on modified CPL models considering non-cold dark matter

In the present work we consider three modified Chevallier–Polarski–Linder (CPL) models with considering non-cold dark matter in the background of homogeneous and isotropic FLRW space–time model. From the observational data set ((Pantheon+)+BAO+HST) we find that all the parameters involved in the models having equation of dark energy state ${\omega }_{de}={\omega }_0+{\omega }_1\frac{a}{{(1+a)}^p}$ (Model II) and ${\omega }_{de}={\omega }_0+{\omega }_1\frac{1-a}{{(1+a)}^p}$ (Model III) do not depend on $p$. We also find that for all the models equation of state for dark matter is almost same and observe that Model I is more preferable than the other two proposed models.