Space-time fractional diffusion on bounded domains
  Fractional diffusion equations replace the integer-order derivatives in space and time by their fractional-order analogues. They are used in physics to model anomalous diffusion. This paper develops strong solutions of space-time fractional diffusion equations on bounded domains, as well as probabilistic representations of these solutions, which are useful for particle tracking codes. 
Zhen-Qing Chen, Mark M. Meerschaert and Erkan Nane
math.PR math-ph math.AP math.MP