Uniqueness of a Fractional Derivative — the Riesz and Regularized Liouville Derivative as Examples
The following sections are included:
Uniqueness on a global scale - the integral representation of the Riesz derivative
Uniqueness on a local scale - the differential representation of the Riesz derivative
Manifest covariant differential representation of the Riesz derivative on ℝN
The integral representation of the regularized Liouville derivative
Differential representation of the regularized Liouville derivative
Manifest covariant differential representation of the regularized Liouville derivative on ℝN
Generalization of a fractional derivative