Temat: Generalized derivative - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Analytical solution of a fractional model of fluid flow through narrowing system in terms of Mittag-Leffler function
Autorzy:: Choudhary, A.
Kumar, D.
Singh, J.
Powiązania:: https://bibliotekanauki.pl/articles/264897.pdf
Data publikacji:: 2020
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: transformata Hankela
funkcja Bessela
pochodna Caputo
narrowing system
generalized Caputo fractional derivative
Sumudu transform
finite Hankel transform
Bessel function
Mittag-Leffler function
Opis:: In this work, we discuss a fractional model of a flow equation in a simple pipeline. Pipeline narrowing is a crucial aspect in drinking water distribution processes, sewage system and in oil-well schemes. The solution of the mathematical model is determined with the aid of the Sumudu transform and finite Hankel transform. The results derived in the current study are in compact and graceful forms in terms of the Mittag-Leffler type function, which are convenient for numerical and theoretical evaluation.
Źródło:: International Journal of Applied Mechanics and Engineering; 2020, 25, 1; 1-11
1734-4492
2353-9003
Pojawia się w:: International Journal of Applied Mechanics and Engineering
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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

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