In large sauté pan with lid over medium heat, sauté onion, carrots, garlic and ginger until softened, about 6 minutes. Add chicken and cook until slightly browned, about 7 minutes. Add curry powder; cook for 1 additional minute. Add olive oil and flour, stir well. Add 3/4 cup chicken broth and mix well.
Bring mixture to boil; reduce heat to simmer. Cover and cook for 1/2 hour over low heat. Add apple, remaining chicken broth, salt and pepper. Return to low heat, covered, and cook for additional 1/2 hour. While chicken is cooking, prepare Spicy Stone Fruit Chutney. Serve curry over basmati rice with Spicy Stone Fruit Chutney
Spicy Stone Fruit Chutney:
Peel all fruit and cut into medium-sized chunks. In medium saucepan, warm olive oil over medium heat. Saute jalapeno pepper, garlic and ginger for 2 minutes. Add all fruit pieces, reduce heat to low and simmer until fruit begins to break down, about 30 minutes. Add salt and pepper. Remove chutney from heat; stir in vinegar.