In the Asimov short story "Escape!" (part of the Susan Calvin series), Powell and Donovan are set by US Robotics to test a spaceship with a hyperspatial drive.
They, at one point claim they have been on the ship for 5 days, whereas I believe Dr Calvin requests 48 hrs to speak to the Brain. I can't perfectly tell if these two times are coterminate or not, but if there are they only travelled at a fraction of c, not faster than it as might be claimed.
So do they experience relativistic time dilation? Or are they subject to other 'physics'?