I would have the O2 sensor or sensors checked. They are usually what sends the signal to the PCM on how to set the fuel codes as far as rich and lean. If they are sending a good signal at cold, and telling the computer to richen the mixture and as the engine warms their signals should change to tell the fuel delivery table to begin to cut out fuel and go to a more normal mix. Yours may not be getting the warm code sent to the PCM and your fuel trims are staying on the rich side. Running too rich will foul up the O2 sensors and could ruin your catalytic convertors as well. Find the exhaust manifold and you will see the O2 sensors. They can be removed and take them to a testing place maybe Autozone and try to see if they are within specs.
You have air in your pipes and it needs to be flushed out.
Possible clogged fuel filter.
its possible your air/fuel mixture is too rich
change your O2 sensor
Alternator . check voltage
souds like a fuel problem not getting enough fuel.
Plugs, plug wires, vacuum hoses.
have the fuel filter replaced. that cleared mine up when it happened.
one of your problems could be in the injectors they maybe putting to much fuel.
Could be several causes: Clogged fuel filter. Clogged/dirty fuel injectors. Spark plugs need changing.
it could be a bad vacuum line or it could be the the throttle position switch
no the engine would still run fine if it spits and sputters sounds like timing mine did the same thing when i changed intake manifold gaskets