Studying heat conduction in a sphere considering hybrid fractional derivative operator | Zendy

Kader Abdel | Zendy; Latif Abdel | Zendy; Dumitru Băleanu | Zendy

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Studying heat conduction in a sphere considering hybrid fractional derivative operator

Author(s) -

Kader Abdel,

Latif Abdel,

Dumitru Băleanu

Publication year - 2021

Publication title -

thermal science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.339

H-Index - 43

eISSN - 2334-7163

pISSN - 0354-9836

DOI - 10.2298/tsci200524332k

Subject(s) - thermal conduction , laplace transform , fractional calculus , mathematical analysis , boundary value problem , operator (biology) , heat kernel , heat equation , fourier transform , relativistic heat conduction , laplace's equation , mathematics , symmetry (geometry) , heat transfer , physics , thermodynamics , heat flux , geometry , chemistry , biochemistry , repressor , gene , transcription factor

In this paper, the fractional heat equation in a sphere with hybrid fractional derivative operator is investigated. The heat conduction is considered in the case of central symmetry with heat absorption. The closed form solution in the form of three parameter Mittag-Leffler function is obtained for two Dirichlet boundary value problems. The joint finite sine Fourier-Laplace transform is used for solving these two problems. The dynamics of the heat transfer in the sphere is illustrated through some numerical examples and figures.

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