actually its more complicated that that.
a
frag tank is not really different from a display tank, and has all the same needs.
it has to be properly filtered and lit.
frag tanks are easy o setup and dont require many things if you are connecting it to your existing system, however if its a stand alone tank, then its needs everything, filtration, current, lighting, heat, same additives, etc.
obviously you dont need to fill the needs of fish etc, so that excluded, if the coral needs X in your display tank, its going to need the same X in the
frag tank
more importantly, you need to keep it as close as possible to the main tank, same lighting, temp,
PH,
salinity,
Ca, etc. or you will be putting the coral through a lot of stress when transferring and having to re-acclimate to a whole new system.