The quantum fractional derivative is defined using formulations analogue to the common Grünwald-Letnikov derivatives. While these use a linear variable scale, the quantum derivative uses an exponential scale and is defined inR+orR-. Two integral formulations similar to the usual Liouville derivatives are deduced with the help of the Mellin transform.
|Journal||Communications In Nonlinear Science And Numerical Simulation|
|Publication status||Published - 1 Jan 2010|