On the Fractional Derivative Duality in Some Transforms

Manuel Duarte Ortigueira, Gabriel Bengochea

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)
15 Downloads (Pure)

Abstract

Duality is one of the most interesting properties of the Laplace and Fourier transforms associated with the integer-order derivative. Here, we will generalize it for fractional derivatives and extend the results to the Mellin, Z and discrete-time Fourier transforms. The scale and nabla derivatives are used. Some consequences are described.
Original languageEnglish
Article number4464
Number of pages15
JournalMathematics
Volume11
Issue number21
DOIs
Publication statusPublished - 27 Oct 2023

Keywords

  • Fourier transform
  • Hadamard derivative
  • Laplace transform
  • Liouville derivative
  • Mellin transform
  • scale derivative
  • Z transform

Fingerprint

Dive into the research topics of 'On the Fractional Derivative Duality in Some Transforms'. Together they form a unique fingerprint.

Cite this