01 - Preheat oven to 325°F (165°C). Line a 12-cup muffin tin with paper liners.
02 - In a medium mixing bowl, combine graham cracker crumbs, granulated sugar, and melted butter until mixture is evenly moistened. Divide crumb mixture among muffin liners and press firmly to create a compact base.
03 - In a separate mixing bowl, beat cream cheese and granulated sugar using an electric mixer until smooth and creamy. Add egg, vanilla extract, and sour cream; mix on low speed until just combined. Spoon batter evenly over prepared crusts in muffin tin.
04 - Bake in preheated oven for 16 to 18 minutes or until centers are just set. Remove from oven and let cool at room temperature for 30 minutes. Transfer muffin tin to 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 gentle simmer; cook for 3 to 4 minutes or until slightly thickened. Remove from heat, stir in chopped pecans and vanilla extract, and allow to cool slightly.
06 - Once cheesecakes are fully chilled, spoon cooled pecan topping evenly over each mini cheesecake. Refrigerate for an additional 15 to 20 minutes before serving.