Abstract
The two-sided derivatives, the Riesz-Feller potentials, and their interrelations are studied in this paper. A general integral formulation for two-sided derivatives and anti-derivatives is introduced. The integer order cases are studied. Regularised Riesz-Feller derivatives are proposed.
| Original language | English |
|---|---|
| Pages (from-to) | 8057-8069 |
| Number of pages | 13 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 44 |
| Issue number | 10 |
| Early online date | Jul 2019 |
| DOIs | |
| Publication status | Published - 15 Jul 2021 |
Keywords
- fractional derivatives and integrals
- fractional differential equations
- fractional partial differential equations