65 citations · 318 across the 25 of their papers we have counts for
4 papers · 2 filters
Towards a geometric interpretation of generalized fractional integrals - Erdelyi-Kober type integrals on as an example
Richard Herrmann
A family of generalized Erdelyi-Kober type fractional integrals is interpreted geometrically as a distortion of the rotationally invariant integral kernel of the Riesz fractional i…
On the origin of space
R. Herrmann
Within the framework of fractional calculus with variable order the evolution of space in the adiabatic limit is investigated. Based on the Caputo definition of a fractional deriva…
Folded potentials in cluster physics - a comparison of Yukawa and Coulomb potentials with Riesz fractional integrals
R. Herrmann
In cluster physics a single particle potential to determine the microscopic part of the total energy of a collective configuration is necessary to calculate the shell- and pairing…
Uniqueness of the fractional derivative definition
Richard Herrmann
For the Riesz fractional derivative besides the well known integral representation two new differential representations are presented, which emphasize the local aspects of a fracti…