Analytical solutions for time-fractional diffusion equation with heat absorption in spherical domains

Analytical solutions for time-fractional diffusion equation with heat absorption in spherical domains

Under the time-variable Dirichlet condition, the time-fractional diffusion equation with heat absorption in a sphere is taken into consideration. The time-fractional derivative with the power-law kernel is used in the generalized Cattaneo constitutive equation of the thermal flux. The Laplace transf...

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Bibliographic Details
Main Authors: Nehad Ali Shah, N. Ameer Ahammad, Dumitru Vieru, Se-Jin Yook, Hussam Alrabaiah
Format: Article
Language:English
Published: Elsevier 2023-08-01
Series:Ain Shams Engineering Journal
Subjects:
Fractional derivative
Generalized Cattaneo’s law, Analytical solutions
Dirichlet conditions
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447922003422

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http://www.sciencedirect.com/science/article/pii/S2090447922003422

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