Based on the PCB part # you provided (you really should have mentioned the make and model of frig too!), this appears to be a peltier based frig.
A schematic couldn't hurt but are you adept at switchmode PSU troubleshooting or at least soldering? Odds are the PSU board has a failed switching transistor on the high voltage side, or a failed rectifier diode on the low side.
Certainly something else to check for is burst capacitors. Rarely I have seen cases where a cap goes bad but the PSU more or less struggles along till a power cycle then it can't get stable again. To put it another way on a typical budget grade PSU if nothing else goes wrong, eventually the capacitors or a fan (thermal rise induced cascade) failure occurs.
If you cannot find the schematic nor a replacement PCB (which could be alarmingly expensive for what it is), your options are source a generic replacement in the same form factor, capable of same voltages and at least as much current, OR taking components out like those transistors and diodes and testing them, and/or while they are out you could have just ordered replacements for them (from Digikey, etc or wherever you are, at an electronics supply house) so you just solder the new ones in.
If the PSU looks roughly like this picture, that's less than $10 worth of parts:
