Reconstruction of fractals in the presence of background events

Analysis of samples containing fractal and background events is performed using the method of systems of equations of P-adic coverages (SePaC) and Box Counting (BC) method. The features of these methods are studied. The procedures to indicate the existence of fractals in the combined sample, reconstruct fractals, estimate a fraction of fractals and estimate background in the extracted sample are suggested. The results of a comparative analysis of combined fractal samples using these methods are presented.