- Tytuł:
- The application of hypergeometric functions to computing fractional order derivatives of sinusoidal functions
- Autorzy:
-
Włodarczyk, M.
Zawadzki, A. - Powiązania:
- https://bibliotekanauki.pl/articles/201316.pdf
- Data publikacji:
- 2016
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
fractional degree derivative
hypergeometric function
Lommel function
pochodna ułamkowa
funkcja hipergeometryczna
funkcja Lommela - Opis:
- In the paper, the analytical forms of fractional order derivatives of sinusoidal function according to definitions of Riemann - Liouville and Caputo are presented. To determine the analytical form of the integrals appearing in definitions of derivatives of fractional order the Lommel functions from hypergeometrical functions family were applied. With the use of properties of the derivatives of fractional order - differential-integral there were presented the conception of generalized element of a single equation, which depending on the value of the derivative order, can be inductor, resistor, capacitor, or a hypothetical element of a fractional order differential equation.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2016, 64, 1; 243-248
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł