On fractional vectorial calculus

• Autorzy: Ortigueira M. D. , Machado J. T. M.

Identyfikatory

DOI

10.24425/124254

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Grunwald-Letnikov; Liouville; fractional gradient; fractional divergence; fractional curl; fractional Laplacian; Green’s theorem; Stokes theorem; Ostrogradski-Gauss’s theorem

PL

tensor Greena; równanie Stokesa; równanie Gaussa; równanie Laplace'a

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2018
• Tom: Vol. 66, nr 4
• Strony: 389--402
• Opis fizyczny: Bibliogr. 67 poz., rys.

Twórcy

autor

Ortigueira M. D.

• CTS-UNINOVA and DEE of Faculdade de Ciˆencias e Tecnologia da UNL, Campus da FCT da UNL, Quinta da Torre, 2829 – 516 Caparica, Portugal

autor

Machado J. T. M.

• Institute of Engineering, Polytechnic of Porto, Dept. of Electrical Engineering, Porto, Portugal

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).