The fractal dimension of a diffusion-limited aggregation (DIA) on a fa
mily of Sierpinski carpets is studied by analytical and numerical meth
ods. Following a mean-field calculation, we obtain the dependence of t
he fractal dimension of DLA on both the fractal dimension of carpet an
d the anomalous diffusion exponent. The numerical simulations on carpe
ts are in good agreement with the proposed formula.