Carr completed 33-of-46 pass attempts without an interception and ran the ball four times for 20 yards as the Bulldogs (9-0, 6-0 MWC) spotted Wyoming a 10-0 lead but then rattled off 48 unanswered points.
Josh Harper hauled down nine passes for 159 yards and Davante Adams added 11 grabs for 79 yards and a score for Fresno State, which piled up a season-high 600 yards of total offense.
Marcel Jensen made two scoring grabs and Josh Quezada ran for 105 yards with a TD on 16 carries.
Brett Smith went 18-of-32 for 141 passing yards with a TD and an interception for the Cowboys (4-5, 2-3).
Notable deaths of 2014 [PHOTOS]