I have an '03 Honda Accord and both power outlets have stopped working.?
 

There is no fuse indicated for it on the fuse panel, any suggestions?

There must be a fuse. Pull them out one at a time and look at them to see if they are bad. Probably 10 amp.

I reccomend a new battery well thats just a guess to be honest but hey it might work if not u got a battery if u ever need a new one

to be sure its not the plug from phone. Take a volt meter and see if you have 12 volts. if you don't have a volt meter, go to radio shack and buy a votage detector. Its cheap. touch one lead to the middle of the recepticle, the other to the side metal casing. If you have no voltage go to fuse and replace. If you have power then your 12 volt recepticle may not be fitting exactly correct with whatever device your trying plug into. You will either have to change recepticle or try to find a trasition plug/recepticle which is totally compatible with what your trying to power up. Also, make sure what your plugging in works on other vehicles. Hope this helps.