Boggio's formula for fractional polyharmonic Dirichlet problems
  Boggio's formula in balls is known for integer-polyharmonic Dirichlet problems and for fractional Dirichlet problems with fractional parameter less than 1. We give here a consistent formulation for fractional polyharmonic Dirichlet problems such that Boggio's formula in balls yields solutions also for the general fractional case. 
Serena Dipierro, Hans-Christoph Grunau
math.AP