Abstract

This paper reviews the fractional vectorial differential operators proposed previously and introduces the fractional versions of the classic Green's, Stokes', and Ostrogradski-Gauss's integral theorems. The suitability of fractional derivatives for sciences and the Laplacian definition are also discussed.

Original languageEnglish
Pages (from-to)389-402
Number of pages14
JournalBulletin of the Polish Academy of Sciences: Technical Sciences
Volume66
Issue number4
DOIs
Publication statusPublished - 1 Aug 2018

Keywords

  • Fractional curl
  • Fractional divergence
  • Fractional gradient
  • Fractional Laplacian
  • Green's theorem
  • Grünwald-Letnikov
  • Liouville
  • Ostrogradski-Gauss's theorem
  • Stokes' theorem

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