Physical and geometrical interpretation of fractional operators

摘要: In this paper an interpretation of fractional operators in the time domain is given. The based on four concepts fractal geometry, linear filters, construction a Cantor set and physical realisation operators. It concluded here that may be grouped as filters with partial memory fall between two extreme types complete those no memory. Fractional are capable modelling systems loss or dissipation. order integral indication remaining preserved energy signal passing through such system. Similarly, differentiator reflects rate at which portion has been lost.