Uniqueness of the fractional derivative definition – The Riesz fractional derivative as an example

author:
R. Herrmann

abstract:
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.

download: arXiv: arXiv:1303.2939