01 - Preheat oven to 325°F (165°C). Line a 12-cup muffin tin with paper liners.
02 - Combine graham cracker crumbs, granulated sugar, and melted butter in a medium bowl until the mixture resembles wet sand. Evenly distribute among liners and press firmly to form a compact base.
03 - In a separate bowl, beat cream cheese and granulated sugar with an electric mixer until completely smooth. Add the egg, vanilla extract, and sour cream, mixing until just combined without overbeating.
04 - Spoon the cheesecake mixture evenly over the prepared crusts in the muffin tin.
05 - Bake in the preheated oven for 16 to 18 minutes or until the centers are just set but slightly wobbly. Cool cheesecakes in the pan at room temperature for 30 minutes, then transfer to the refrigerator to chill for at least 1 hour.
06 - In a small saucepan over medium heat, combine brown sugar, unsalted butter, heavy cream, and salt. Stir continuously and bring to a gentle simmer, cooking until the mixture thickens, about 3 to 4 minutes. Remove from heat, stir in chopped pecans and vanilla extract, and set aside to cool slightly.
07 - Once cheesecakes are well chilled, spoon a generous portion of the pecan topping over each. Return to the refrigerator for an additional 15 to 20 minutes to allow topping to set before serving.