fear of death

Does anyone else feel this way? I do not fear death itself. 
I know I will die someday and that's okay, part of life. Well the end of life but you get me. I don't think about what's going to happen TO ME after my death. 
But I fear not living my life long enough to experience all the things I want to experience. I don't want the people who love me to hurt over my death. Just like I don't want anyone I love to die. 
I'm so excited to see what the future holds for me but I know it can all be taken from me in a split second. So I feel rushed to live my life but also to take it slow if that makes sense. I don't want to leave things left unfinished. It's such an overwhelming feeling.