Open AccessStudying heat conduction in a sphere considering hybrid fractional derivative operator
Author(s) -
Abass Hassan Abdel Kader,
M. S. Abdel Latif,
Dumitru Băleanu
Publication year - 2022
Publication title -
thermal science/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.