Sounds like the time for your Distress Signal (check your ability bar). Do you have some credits? I think the way it works is a fleet will eventually come to yours and sell you fuel...or maybe pirates will show up and you can kill them for fuel. Though...I have heard it doesn't work all that well in practice, or maybe that was when YOU answer signals and it proves not to be worth your time...
You should get in the habit of using the FUEL map overlay to get a solid idea on how much fuel you need before you set out!
I've tested distress call several times, and I've never had a situation where nobody arrived. The time before it happens varies, but sooner or later, help (or pirates) do come.
As for
you answering to the distress calls, I always check them, though yeah, it often turns out to be a waste of time. Either you do encounter someone in distress and get relationships improvement, find pirates for an entertaining fight, or, worst case scenario, just stumble onto a derelict floating around the point, making the endeavor a waste of time.