Latif, Mohamed S. AbdelBaleanu, DumitruKader, Abass H. Abdel2024-04-252025-09-182024-04-252025-09-182022Kader, Abass H. Abdel; Latif, Mohamed. S. Abdel; Baleanu, D. (2022). "Studying Heat Conduction In A Sphere Considering Hybrid Fractional Derivative Operator", Thermal Science, Vol.26, No.2, pp.1675-1683.0354-98362334-7163https://doi.org/10.2298/TSCI200524332Khttps://hdl.handle.net/20.500.12416/10475Abdel Kader, Abass/0000-0002-9658-1430In 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.eninfo:eu-repo/semantics/openAccessHeat Conduction With AbsorptionHybrid Fractional Derivative OperatorThree Parameter Mittag-Leffler FunctionFinite Fourier TransformLaplace TransformArticle10.2298/TSCI200524332K2-s2.0-85131103650