01 - Preheat oven to 325°F. Line a standard 12-cup muffin tin with paper liners.
02 - In a medium bowl, combine graham cracker crumbs, granulated sugar, and melted butter. Mix until thoroughly moistened. Evenly divide the mixture among paper liners and press firmly to create a compact base.
03 - Using an electric mixer, beat cream cheese and granulated sugar on medium speed until silky and homogenous. Blend in egg, vanilla extract, and sour cream; mix until just incorporated without overbeating.
04 - Distribute cheesecake filling evenly atop the prepared crusts. Bake for 16 to 18 minutes or until the centers are barely set. Allow to cool at room temperature for 30 minutes. Refrigerate for at least 1 hour to fully chill.
05 - In a small saucepan over medium heat, combine brown sugar, unsalted butter, heavy cream, and salt. Simmer while stirring constantly until the mixture thickens, approximately 3 to 4 minutes. Remove from heat and stir in chopped pecans and vanilla extract. Let cool slightly.
06 - After cheesecakes are thoroughly chilled, top each with a generous spoonful of pecan topping. Return to the refrigerator and chill for an additional 15 to 20 minutes before serving.