In a medium mixing bowl, combine the melted butter, egg, brown sugar, honey, and vanilla extract. Mix well.
Stir in the chopped pecans into the mixture.
Arrange the mini phyllo shells on a baking sheet. Fill each shell with about one heaping teaspoon of the pecan mixture. If any mixture remains, distribute it evenly among the shells.
Bake for 10-15 minutes, or until the filling is set and lightly golden.
Let the tarts cool before serving.
Notes
These are best served at room temperature. They can be made a day in advance and stored in an airtight container.