To be precise, chaotic is a classification of a dynamical system (like iterating z = z^2 + c), and a fractal is a shape. Quite often, fractals belie chaos in the underlying dynamical system, but there are chaotic systems that don't give rise to fractals, and fractals that don't represent chaos. But usually, the two go together. The fact that the fractal comes from a formula means that it is deterministic, which is a requirement of chaos. However, chaotic systems have order to them that is not apparent from the formulas. Usually, that order becomes clear when plotting the dynamics of the system in the "right" way, and it can also be revealed through statistical analyses of the data. Kerry