Bad fuse would make the wipers stop working. Your issue is a bad multi-function switch. Very common on the fifth generation Explorers like yours. There is a Ford TSB on it.
It is not a hard repair. Basically you remove the covers from the steering column. Turn the steering wheel ninety degrees to the left. Remove the Brake pedal switch (if equipped) then the screws and the switch. Reverse the process to install the updated switch.
I doubt they would do a warranty repair on it but you could try. The replacement switches are readily available. Just be sure to get the one that matches your options. Namely if you have the rain sensing feature.
TECHNICAL SERVICE BULLETIN
Reference Number(s): 15-0061, Date of Issue: April 27, 2015
FORD: 2011-2014 Edge, Explorer, F-150, F-Super Duty
LINCOLN: 2011-2014 MKX
Some 2011-2014 Explorer, F-150, Edge, MKX and F-Super Duty vehicles may experience windshield wipers that continue to operate in low intermittent speed when the multifunction switch is turned to the off position.
Does the windshield wipers continue to operate in low / intermittent speed only when the wiper switch is in the off position?
Yes - install a new wiper/multi-function switch. Refer to Workshop Manual (WSM),
Friday, January 27th, 2017 AT 1:00 AM