Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 Bulletin of the Polish Academy of Sciences. Technical Sciences

1 2016

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: funkcja Lommela

Sortuj według:

Ogranicz wyniki do:

The application of hypergeometric functions to computing fractional order derivatives of sinusoidal functions

Włodarczyk M., Zawadzki A.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2016

Vol. 64, nr 1

243--248

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.