TY - JOUR
TI - Studying heat conduction in a sphere considering hybrid fractional derivative operator
AU - Abdel Kader Abass H
AU - Abdel Latif Mohamed S
AU - Baleanu Dumitru
JN - Thermal Science
PY - 2022
VL - 26
IS - 2
SP - 1675
EP - 1683
PT - Article
AB - 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.