Donza gave a very good answer, but I'd like to add some clarification. A turbine engine does not run any
leaner than a recip.
To understand a turbine engine vs a recip, one must understand that the flame burns continously in a turbine vs. a the "start and stop" cycle of the recip.
In a turbine engine, a lot of air is blown into the combustion chambers (or burner cans), into which fuel is being sprayed. The flame takes the shape (approximately) of the fuel spray pattern. I'm sure that you've probably observed a candle flame. The candle flame is somewhat like the flame inside a turbine engine. In both, the flame is surrounded by air, but only the portion of air necessary to combine with the fuel gets burned, and the flame only exists in an area of fuel supply. Therefore, to say that a turbine burns lean is not exactly correct. But, if you understand that distinction, Donza is pretty much right on.
Now, on to my explanation. The turbine engine sprays fuel into an area that is being continuously supplied with pressurized air by the compressor section of the engine. During the start sequence, ignitors (aka spark plugs) provide a spark to start the fire. Once the fire is lit, it doesn't go out. Just as the candle burns until the wax is gone. The fuel only needs around 25% of the available air for combustion and the rest of the air actually insulates the metal from the flame and helps shape the flame. The combustion chamber is
open, meaning that the fuel and O2 are being continously resupplied.
The recip engine, with it's closed combustion chamber, must reignite the mix every power stroke (which requires that the mix must be within a narrow window) , and it must also have a fairly precise mix in order to ensure complete combustion.
A turbine engine doesn't need a mixture control, it only needs a fuel injection system to supply the proper fuel for each combination of compressor pressure and power required.
I just deleted a bunch because I don't want to confuse the issue. It's been a long day. Tomorrow might demand a re-write. Especially if anything here can be applied to a GV
enigma