Uniqueness of the fractional derivative definition

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.

5 pages, section on manifest covariant representation on R^N added

References in corpus (1)

• On the Consistency of the Solutions of the Space Fractional Schrödinger Equation