FRACTAL CALCULUS ON [0,1]

Ordinary differential equations are generalized to fractal supports wi th regular or multifractal properties. This can be done by considering the corresponding integral equations with respect to the measure. Clo sed form solutions of simple differential equations (giving rise to ex ponential, sine and cosine functions) on fractals are presented and th e generalization to arbitrary differential equations discussed. Some a pplications of this formalism are presented in connection with multifr actality.