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.

Identyfikatory

DOI

10.17512/jamcm.2023.2.01

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

generalized time-fractional Caputo derivative; generalized Laplace transform; Hankel transform; diffusion-wave equation

PL

uogólniona ułamkowa pochodna Caputo w czasie; uogólniona transformata Laplace'a; transformata Hankela; równanie fali dyfuzyjnej

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2023
• Tom: Vol. 22, nr 2
• Strony: 5--14
• Opis fizyczny: Bibliogr. 32 poz., rys.

Twórcy

autor

Elkott Ibrahim

• Department of Mathematics and Engineering Physics, Engineering Faculty Mansoura University, Mansoura, Egypt

autor

Abdel-Latif Mohamed S.

• Department of Mathematics and Engineering Physics, Engineering Faculty Mansoura University, Mansoura, Egypt
• Department of Mathematics, Faculty of Science, New Mansoura University New Mansoura City, Egypt

autor

El-Kalla Ibrahim L.

• Department of Mathematics and Engineering Physics, Engineering Faculty Mansoura University, Mansoura, Egypt

autor

Abdel Kader Abass H.

• Department of Mathematics and Engineering Physics, Engineering Faculty Mansoura University, Mansoura, Egypt
• Department of Mathematics, Faculty of Science, New Mansoura University New Mansoura City, Egypt

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).