Apple Fritters Recipe

Name: Apple Fritters Recipe
Ingredients: 5-6 medium apples (peeled, cored, and chopped into small chunks (about 4 cups)); 2 Tablespoons fresh lemon juice; 1/2 cup granulated sugar; 1/2 cup brown sugar; 2 Tablespoons cornstarch; 1 teaspoon ground cinnamon; 1/4 teaspoon ground nutmeg; 1 cup water or apple juice; 2 Tablespoons salted butter; 1/4 cup lukewarm water; 2 1/4 teaspoons active dry yeast; 1/2 cup granulated sugar (divided); 1 cup whole milk (room temperature); 2 large eggs (lightly beaten); 6 Tablespoons salted butter (melted); 1/2 teaspoon salt; 4 to 4 1/2 cups all-purpose flour (plus additional for shaping fritters); 1 1/2 Tablespoons ground cinnamon; 2 quarts oil (for frying); 4 cups powdered sugar; 1 teaspoon vanilla extract; 1/3 to 1/2 cup milk or cream