This engine's computer stores failure codes. You don't mention whether
the "check engine" light is ON or OFF.
If ON there will be a code or codes stored. A code reader is needed,
some auto supply stores will read the code for free.

The time related aspect suggests an electrical failure but first check
the gas cap - that there's no vacuum in the tank that's preventing fuel
pickup by the fuel pump. When it quits just open the gas cap for a
moment, close it and see if it will start. If no start, that possibility
is eliminated.

So then remaining are the electrical possibilities - fuel or spark. When
it quits and you try to restart it do you hear the fuel pump run before
you crank the engine? If you don't know what this sounds like, pause of
a few seconds after turning the key to ON before turning to START and
you should hear the fuel pump run for a second or two. Try it in a quiet
garage.
Anyway, if you don't hear the fuel pump run then the culprit may be the
fuel pump's relay or the pump itself.

On the spark side I don't know where to direct you to some central
component that would shut down the engine. These engines have several
ignition coils so if one failed the others would probably carry on.
Beyond that ??

Try replacing the crank position sensor. It's a black thing that sits at the
back of the engine on the bell housing. You can't test it unless have access
to an oscilloscope. When it's playing up it can give the symptoms you
described.

It is not the gas cap or the fuel pump relay,  I replaced the relay and no
change.  Vehivle has got worse and now the check engine light come on.
The vehicle runs fine for about 15 minutes and then shuts off.  Now I have
to wait almost 45 minutes to restart and then it will run for 5 minutes.
If you leave it for a few hours it will run for 15 minutes repeating the
same routine.  I have not been able to hear the fuel pump.  By the way,
where is it in the vehicle?
Thanks