First start of the day, engine fires up and runs well then stalls

you meant CARAVAN? or grand caravan with
no engine told. size , 4 engines, 2.4 to 3.8L v6
so does not START and run
or does start and runs and stalls. (or runs for 3 seconds and stalls)
or stalls driving random. hot or cold engine,?
the starter motor always works perfect, spins GRRRRRRR and engine spins crank shaft fast or now, or starter is some times silent or just clicks.???????????
back fires to where? the rear car tail pipe end?
or to intake manifold (air cleaner side)>>>>>??????????
back firing to air cleaner , hits of gross timing of cam , burned intake valves.

tail pipe backfire can be what is called muffler explosions super load POP sounds, and is engine gross raw fuel lander there, mostly from leaking injector(s)
check engine lamp never glows, running or just before stall.
scan the PCM yet see stored DTC errors. (like CKP fails)

no engine told so hard to be more exact. above is generic.
ASE generic , gas engines,
if stalls driving can a fast right foot save the stall and if yes, do you still have full engine power.?

the 3.0L has a 2 cam timing belt(plus pump)
that fails easy, it slips and timing is lost !
and backfires every which way .
it is a 60k mile service point.
this 3.0L same belt runs water pump and you never want it to slip.bad belt too.
V6, 1 cam per head free running engine. (no bent valves) like the DOHC will do. 12v 6x2 heads no 24valve .

but no VIN or engine told.

Radiator cooling fans not working? The ECM is protecting the engine by shutting it down.

I have replaced a ton of coils on these. And the PT Cruisers. Same engine.

Sounds like it's not getting fuel. Check fuel pressure at the fuel rail. If low, make sure the pump is running. If the pump is running, but no pressure at the rail, check fuel, filter. Get back to us with result of these checks.

check the breather in the tank cap make sure its not blocked.

Sounds like a classic crankshaft position sensor problem to me.

check fuel pump fuses

Make sure the battery and alternator is working. Get battery and alternator checked. It did not jump timing. Autozone will do it free and Walmart will check your battery. Lets try this and get back with me

sounds like an ignition system problem loosing fire check the ignition module and make sure it is working right.

my dad used to say you need two things to start a motor; gas and fire. Check these and make sure they are both good. You have to go through the steps from there. Could be a fuel filter. could be bad plugs. etc. etc... Hope it helps.