  Electrodynamics of composite materials with fractal geometry is studied in
the framework of fractional calculus. This consideration establishes a link
between fractal geometry of the media and fractional integro-differentiation.
The photoconductivity in the vicinity of the electrode-electrolyte fractal
interface is studied. The methods of fractional calculus are employed to obtain
an analytical expression for the giant local enhancement of the optical
electric field inside the fractal composite structure at the condition of the
surface plasmon excitation. This approach makes it possible to explain
experimental data on photoconductivity in the nano-electrochemistry.
