01 - Preheat oven to 325°F. Line a 12-cup muffin tin with paper liners.
02 - Combine graham cracker crumbs, granulated sugar, and melted butter in a medium bowl. Blend until mixture is evenly moistened. Portion crumb mixture into prepared liners and press firmly to create a compact base.
03 - In a mixing bowl, blend softened cream cheese and granulated sugar until smooth. Add egg, vanilla extract, and sour cream. Mix until the batter is just combined and smooth. Evenly distribute filling over crust bases.
04 - Bake cheesecakes for 16 to 18 minutes, or until centers are set but still slightly jiggly. Remove from oven and cool at room temperature for 30 minutes. Transfer to the refrigerator and chill for at least 1 hour.
05 - In a small saucepan over medium heat, combine brown sugar, unsalted butter, heavy cream, and salt. Stir constantly and bring to a simmer until slightly thickened, about 3 to 4 minutes. Remove from heat, fold in chopped pecans and vanilla extract, and let cool slightly.
06 - Spoon the pecan pie topping over each chilled cheesecake. Return to refrigerator and chill for an additional 15 to 20 minutes before serving.