Aldus Dumbledore is much younger in this film despite it coming out after the Harry Potter series. This is because the filmmakers cast Jude Law in the part and the film is a prequel.
Each movie in the Harry Potter series has a title in the form of Harry Potter and the [fill in the blank]. This is due to shrewd marketing. You see, Harry Potter makes an appearance in each film, as does the [fill in the blank].