"Fudgy center" refers to the soft, rich and moist part found in the middle of something, usually a dessert like a brownie or a chocolate lava cake. Full definition
He quotes Mark Bittman on the subject: «Cocoa achieves that (fudgy center with a crackling - chewy crust on top) better than melted chocolate because it's a purer form of chocolate and adds no moisture.» (epicurious.com)
The crispy top and chewy and fudgy center of these brownies make them a great gluten and grain - free stand - in for traditional wheat - based brownies. (anthonysgoods.com)