01 - Preheat oven to 325°F. Line a 12-cup muffin tin with paper liners.
02 - In a medium bowl, combine graham cracker crumbs, granulated sugar, and melted butter until evenly moistened. Press mixture firmly into the bottom of each liner to form a compact crust.
03 - Using an electric mixer, blend cream cheese and granulated sugar until smooth. Add egg, vanilla extract, and sour cream; mix until just incorporated. Divide filling evenly among crusts.
04 - Bake for 16 to 18 minutes or until centers are just set. Cool at room temperature for 30 minutes, then chill in the refrigerator for at least 1 hour.
05 - While cheesecakes chill, combine brown sugar, unsalted butter, heavy cream, and salt in a small saucepan over medium heat. Stir constantly and simmer until mixture thickens, about 3 to 4 minutes. Remove from heat, stir in chopped pecans and vanilla extract, and cool slightly.
06 - Spoon cooled pecan topping evenly over the chilled cheesecakes. Refrigerate for another 15 to 20 minutes before serving.