01 - Preheat oven to 325°F (165°C) and line a 12-cup muffin tin with paper liners.
02 - In a medium bowl, combine graham cracker crumbs, granulated sugar, and melted butter until the mixture resembles wet sand. Divide evenly among the liners, pressing firmly into the base to form a compact crust.
03 - In a large mixing bowl, beat cream cheese and granulated sugar with an electric mixer until smooth. Add egg, vanilla extract, and sour cream; mix until just blended. Avoid overbeating.
04 - Spoon the cheesecake mixture over the prepared crusts, dividing evenly. Bake for 16 to 18 minutes or until centers are just set.
05 - Remove from the oven and let cool at room temperature for 30 minutes. Transfer to the refrigerator and chill for at least 1 hour to set completely.
06 - In a small saucepan over medium heat, combine brown sugar, unsalted butter, heavy cream, and salt. Bring to a simmer, stirring continuously, until thickened, about 3 to 4 minutes. Remove from heat, stir in chopped pecans and vanilla extract, and let cool slightly.
07 - After cheesecakes are chilled, spoon the pecan topping over each cheesecake. Chill in the refrigerator for an additional 15 to 20 minutes before serving.