Geometrical enhancement of the electric field: Application of fractional   calculus in nanoplasmonics
  We developed an analytical approach, for a wave propagation in metal-dielectric nanostructures in the quasi-static limit. This consideration establishes a link between fractional geometry of the nanostructure and fractional integro-differentiation. The method is based on fractional calculus and permits to obtain analytical expressions for the electric field enhancement. 
E. Baskin and A. Iomin
cond-mat.dis-nn cond-mat.mes-hall cond-mat.mtrl-sci physics.optics