Abstract
In this work, we have considered generalized cosmic Chaplygin gas (GCCG) and new variable modified Chaplygin gas (NVMCG) types of dark energies in the framework of F -essence cosmology and investigated the consequences for their co-existence. The correspondence of the F -essence with the above types of Chaplygin gas models has been investigated. The natures of K and Y for this correspondence of the F -essence with all the gases have been analyzed graphically. From the graphical representation, we demand that K always increases with Y due to correspondence, and the EoS parameter w shows that the F -essence model always gives only quintessence type of dark energy and phantom crossing does not happen in our constructed models.
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