strange radio problem 91 SSE

I have been having a strange problem with the radio. It quits working ,when I pull the 15 amp fuse and put it back in(the same fuse), the radio works just fine. After some undetermined time (days or weeks ) it quits again. Any one know whats going on with it. Getting tired of removing the cover and pulling the fuse.
I purchased the car new in 91 and it is the original radio /CD player.Thanks ,hope someone out there can help.