No fuses, it's all those little round, silver electrolytic capacitors all over the board. If you're not handy with a soldering iron yourself, you can send the motherboard to one of the Amiga repairers who usually offer an Amiga capacitor replacement service.
I know how you feel, I get temporarily excited that I have just got a working A600 but it doesn't last long.
It's best to get them repaired sooner rather than later though, the acid inside the capacitors will eventually leak out and begin damaging the motherboard and surrounding components.