the more expensive drawing tablets also come with screens, they are called tablets because they predate android devices probably by about 20 years.
The ones with battery free stylus use induction, that means the stylus is powered remotely by magnetic fields, that the tablet is emitting. It's vaguely related to how wireless charging works, for electric tooth brushes.
You have to pay attention for compatibility the stylus has to have a tuned induction coil that matches with the tablet, and since all the inputs are communicated by radio signals it also has to have matching communication standards.
You have to read online reviews to find out which pens work with what tablet.