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This work is motivated by the work of Kim et al (2008), which considered theequation of state parameter for the new agegraphic dark energy based ongeneralized uncertainty principle coexisting with dark matter withoutinteraction. In this work, we have considered the same dark energy inter-acting with dark matter in emergent, intermediate and logamediate scenarios ofthe universe. Also, we have investigated the statefinder, kerk and lerkparameters in all three scenarios under this inter- action. The energy densityand pressure for the new agegraphic dark energy based on generalizeduncertainty principle have been calculated and their behaviors have beeninvestigated. The evolu- tion of the equation of state parameter has beenanalyzed in the interacting and non-interacting situations in all the threescenarios. The graphical analysis shows that the dark energy behaves likequintessence era for logamediate expansion and phantom era for emergent andintermediate expansions of the universe.

A Dark Energy Model with Generalized Uncertainty Principle in the Emergent, Intermediate and Logamediate Scenarios of the Universe