%0 Journal Article %T Uniqueness of the fractional derivative definition %A Richard Herrmann %J Physics %D 2013 %I arXiv %X For the Riesz fractional derivative besides the well known integral representation two new differential representations are presented, which emphasize the local aspects of a fractional derivative. The consequences for a valid solution of the fractional Schroedinger equation are discussed. %U http://arxiv.org/abs/1303.2939v3