01 - Preheat oven to 325°F. Line a standard 12-cup muffin tin with paper liners.
02 - Mix graham cracker crumbs, granulated sugar, and melted butter in a bowl until uniformly moistened. Divide mixture evenly among the muffin liners, pressing firmly to form a compact base.
03 - In a separate bowl, beat softened cream cheese and granulated sugar with an electric mixer until smooth. Add egg, vanilla extract, and sour cream; blend until just incorporated. Distribute filling evenly over the prepared crusts.
04 - Bake for 16 to 18 minutes, or until centers are just set. Cool at room temperature for 30 minutes, then refrigerate for at least 1 hour until firm.
05 - In a small saucepan over medium heat, combine brown sugar, unsalted butter, heavy cream, and salt. Bring the mixture to a simmer, stirring constantly. Cook until thickened, about 3 to 4 minutes. Remove from heat, stir in chopped pecans and vanilla extract, and let cool slightly.
06 - Once cheesecakes are thoroughly chilled, top each with a spoonful of pecan pie mixture. Return to the refrigerator for 15 to 20 minutes before serving.