Windshield wipers will work when you turn them on for cleaning the windshield with wiper fluid but will not work when you turn them on for normal usage.
First see if the reservoir is full. If full, have someone hit the switch in the car and do you hear the motor running to pump the fluid? If not, replace, if you do, check the hoses and lines for cuts, cracks or blockages.
Search Chevrolet Malibu Questions
Chevrolet Malibu Experts