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 languageEnglish
JournalMathematical Methods in the Applied Sciences
DOIs
Publication statusE-pub ahead of print - Jul 2019

Keywords

  • fractional derivatives and integrals
  • fractional differential equations
  • fractional partial differential equations

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