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 mixture resembles wet sand. Evenly divide among muffin cups and press firmly to create a compact base.
03 - Using an electric mixer, blend cream cheese and granulated sugar on medium speed until smooth. Add egg, vanilla extract, and sour cream; mix until just combined. Spoon filling over prepared crusts.
04 - Bake for 16 to 18 minutes until the centers are just set. Allow to cool at room temperature for 30 minutes, then refrigerate for at least 1 hour to chill completely.
05 - In a small saucepan over medium heat, stir together brown sugar, unsalted butter, heavy cream, and salt. Simmer, whisking constantly, until mixture thickens, about 3 to 4 minutes. Remove from heat, incorporate pecans and vanilla extract, and allow to cool slightly.
06 - Spoon cooled pecan topping generously over each cheesecake. Chill for 15 to 20 minutes before serving to set the topping.