2006 cobalt wont stay on after refuiling

What is your question?

After i refuil the car has problems staying on without pressing the gas for a little while, after i drive off the car stays on and it goes away but usually after i put gas it has trouble staying on

What makes this problem better or worse?

Pressing gas pedal while its on keeps the car on but as soon as i let it go it turns off

How long has your 2006 Chevrolet Cobalt had this problem?

Few months