- Tytuł:
- Some closed form series solutions for the time-fractional diffusion-wave equation in polar coordinates with a generalized Caputo fractional derivative
- Autorzy:
-
Elkott, Ibrahim
Abdel-Latif, Mohamed S.
El-Kalla, Ibrahim L.
Abdel Kader, Abass H. - Powiązania:
- https://bibliotekanauki.pl/articles/24201502.pdf
- Data publikacji:
- 2023
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
generalized time-fractional Caputo derivative
generalized Laplace transform
Hankel transform
diffusion-wave equation
uogólniona ułamkowa pochodna Caputo w czasie
uogólniona transformata Laplace'a
transformata Hankela
równanie fali dyfuzyjnej - Opis:
- In this paper, we obtain some closed form series solutions for the time fractional diffusion-wave equation (TFDWE) with the generalized time-fractional Caputo derivative (GTFCD) associated with a source term in polar coordinates. These solutions are found using generalized Laplace and Hankel transforms. We obtained the closed form series solutions in the form of the Polygamma function. The effect of the fractional order derivative on the diffusion-wave variable is illustrated graphically.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 2; 5--14
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł