Application of integrodifferential calculus in electrodynamics of complex medium

We will consider the geometric and physical aspects that permit introduction of the so-called /spl alpha/-characteristics for studying the behaviour of electromagnetic field components in the vicinity of a set of points with fractal properties. To estimate the /spl alpha/-characteristics, possible algorithms are formulated, namely a geometric one involving equation of the Hausdorff measure and an analytical algorithm permitting the Hausdorff measure to be evaluated through application of fractional derivatives and integrals. The algorithms relate both to solutions of integral Maxwell's equations (Abel integral equations) for problems characterised by charge and current distributions at fractal interfaces between media, and the differential Helmholtz equation with fractal boundary conditions.