Preheat oven to 325°F (165°C) and line a 9×13-inch pan with parchment paper

Mix graham cracker crumbs, melted butter, and sugar

Press mixture firmly into the bottom of the pan

Bake crust for 10 minutes and let cool slightly

Melt butter in a skillet over medium heat

Add apples, brown sugar, cinnamon, and nutmeg

Cook until apples are tender but not mushy

Stir in cornstarch and cook 1 minute more

Remove apple mixture from heat and cool slightly

Beat cream cheese until smooth

Add sugar and mix gently

Add eggs one at a time on low speed

Mix in vanilla extract and sour cream

Spread cheesecake batter evenly over crust

Spoon apple mixture evenly over cheesecake layer

Drizzle caramel sauce on top

Sprinkle nuts if using

Bake for 40–45 minutes until edges are set and center slightly jiggles

Turn off oven, crack door, and cool bars inside for 30 minutes

Cool completely, then refrigerate before slicing