A space-fractional Monodomain model for cardiac electrophysiology combining anisotropy and heterogeneity on realistic geometries.

•A fractional monodomain to account for both anisotropy and heterogeneity is proposed.•Integral expression of nonlocal operator is linked to fractional matrix powers.•The methodology proposed naturally handles bounded domains in more than 1D.•Computations are performed on unstructured meshes for regular and irregular domains.