  It is shown that fractal dimension can be estimated seeking a solution of
functional equation defined for areas of coverages of different scales. The
method proposed is compared with widely known way to estimate fractal dimension
via linear regression for numbers of ordinary sets, which are used to cover the
fractal, and scale size. Due to its simplicity the method described in the
article may be useful to get estimation of fractal dimension for 2D
time-series.
