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Anomalous diffusion phenomena are ubiquitous in complex media, such asbiological tissues.  A wide class of sub-diffusive phenomena phenomena is described by thetime-fractional diffusion equation.  The paper investigates the case of anisotropic fractional diffusion in theEuclidean space.  The solution of the fractional sub-diffusion equation can be expressed interms of the Wright function and its spatial derivatives, parametrized by thedirectional unit vector (or alternatively a normal hyperplane).  Moreover, the multidimensional case could be expressed as a transformation ofthe one-dimensional case.

Anisotropic solutions of the time-fractional diffusion equation in multiple dimensions