Pilgrim and Generalized Ghost Pilgrim Dark Energy Models in Modified Symmetric Teleparallel Gravity

In this paper, we investigate $f(Q)$ gravity ($Q$ represents the non-metricity) to explore its cosmological implications of the two non-interacting dark energy models. We use the correspondence scenario to find the pilgrim and generalized ghost pilgrim dark energy $f(Q)$ gravity models for a Friedmann-Robertson-Walker universe with pressureless matter and a power-law scale factor. The reconstructed models explain the observed rapid expansion of the universe using astronomical observations. We also examine the physical properties of the model, including its equation of state parameter, $({\omega }_D-{\omega }_D^{\mathrm{\prime }})$ and $(r-s)$-planes and the squared speed of sound. It is found that our results are consistent with the interacting pilgrim dark energy model in the same gravity.