Books are better: https://www.google.com.ua/search?q=book+pdf+fractional+differential&source=hp&ei=1slvYc-pBMGkqtsPteK3gAg&iflsig=ALs-wAMAAAAAYW_X5kR06RzJoHRcIcBzklQNb631fHg9&ved=0ahUKEwjP7JqMwNjzAhVBkmoFHTXxDYAQ4dUDCAY&uact=5&oq=book+pdf+fractional+differential&gs_lcp=Cgdnd3Mtd2l6EAMyBggAEAgQHjoFCAAQgAQ6BggAEBYQHjoICC4QgAQQkwI6BggAEAcQHjoECC4QDToECAAQDToICAAQCBAHEB46CAgAEAgQDRAeUKMKWPRyYLt2aABwAHgAgAH9AogBzCGSAQgwLjEzLjYuMpgBAKABAqABAQ&sclient=gws-wiz
Hi, if you are interested in acoustics and loudspeakers, you can find papers applying fractional derivative models on my profile. The papers are also included as open access in my PhD thesis here: https://orbit.dtu.dk/en/publications/fractional-derivative-loudspeaker-models-for-nonlinear-suspension.