Exact solution for heat conduction inside a sphere with heat absorption using the regularized Hilfer-Prabhakar derivative

• Autorzy: Elhadedy Hager , Latif Mohamed S. Abdel , Nour Hamed M. , Kader Abbas H. Abdel

Identyfikatory

DOI

10.17512/jamcm.2022.2.03

• Języki publikacji: EN

Abstrakty

EN

In this article, we utilize the finite Sine-Fourier transform and the Laplace transform for solving fractional partial differential equations with regularized Hilfer-Prabhakar derivative. These transforms are used to get analytical solutions for the time fractional heat conduction equation (TFHCE) with the regularized Hilfer-Prabhakar derivative associated with heat absorption in spherical coordinates. Two cases of Dirichlet boundary conditions are considered by obtaining an analytical solution in each case. The effect of the parameters of the regularized Hilfer-Prabhakar derivative on the heat transfer inside the sphere is discussed using some figures.

Słowa kluczowe

EN

fractional derivatives; Laplace transform; finite sine-Fourier transform; heat transfer

PL

pochodne ułamkowe; transformata Laplace'a; skończona transformata sinusoidalna-Fouriera; wymiana ciepła

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2022
• Tom: Vol. 21, nr 2
• Strony: 27--37
• Opis fizyczny: Bibliogr. 30 poz., rys.

Twórcy

autor

Elhadedy Hager

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

autor

Latif Mohamed S. Abdel

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

autor

Nour Hamed M.

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

autor

Kader Abbas H. Abdel

• Mathematics and Engineering Physics Department, Engineering Faculty Mansoura University, Mansoura, 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).