  This work is motivated by the work of Kim et al (2008), which considered the
equation of state parameter for the new agegraphic dark energy based on
generalized uncertainty principle coexisting with dark matter without
interaction. In this work, we have considered the same dark energy inter-
acting with dark matter in emergent, intermediate and logamediate scenarios of
the universe. Also, we have investigated the statefinder, kerk and lerk
parameters in all three scenarios under this inter- action. The energy density
and pressure for the new agegraphic dark energy based on generalized
uncertainty principle have been calculated and their behaviors have been
investigated. The evolu- tion of the equation of state parameter has been
analyzed in the interacting and non-interacting situations in all the three
scenarios. The graphical analysis shows that the dark energy behaves like
quintessence era for logamediate expansion and phantom era for emergent and
intermediate expansions of the universe.
