start up an run for about 5 to 15 minutes,then shut off like you turn key off

Poss. 'main relay'. To check an easy way, in a quiet area turn the key to the 'run' position ,(check engine light on)and watch the light , at the same time listen for a 'click' at the same time as the light goes out. May want to try that two or three times to get used to the sound. Then next time , after it stalls and won't re-start , do the same thing. IF you do not hear the 'click' when the light turns off , replace the main relay - it's bad. It's located under the drivers dash. Easiest and best is to have the replacement in your hand , to match -up what your looking for , if you're not familiar with it. May be awkward to get to.Easy , cheap test (free) before you spend money on a fuel pump you may or may not need.