Fractional central differences and derivatives

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

Abstract

Fractional central differences and derivatives are proposed in this paper. The positive even and odd integer orders differences and derivatives are generalised to real orders, obtaining two new different types of differences and derivatives. For each type, suitable integral formulation is obtained. Their computations of the integrals lead to generalisations of the well known Riesz potentials. A study for coherence is done by applying the definitions to functions with Fourier transform.

Original languageEnglish
Title of host publication2nd IFAC Workshop on Fractional Differentiation and its Applications, FDA 2006 - Final Program
Pages58-63
Number of pages6
Volume2
EditionPART 1
Publication statusPublished - 2006
Event2nd IFAC Workshop on Fractional Differentiation and its Applications, FDA 2006 - Porto, Portugal
Duration: 19 Jul 200621 Jul 2006

Conference

Conference2nd IFAC Workshop on Fractional Differentiation and its Applications, FDA 2006
CountryPortugal
CityPorto
Period19/07/0621/07/06

Keywords

  • Fractional central derivative
  • Fractional central difference
  • Generalized Cauchy derivative
  • Grünwald-Letnikov

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