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- Title
Investigating heat conduction in a sphere with heat absorption using generalized Caputo fractional derivative.
- Authors
Elhadedy, Hager; Abdel Kader, Abass H.; Abdel Latif, Mohamed S.
- Abstract
In this paper, we study the ρ‐Laplace transform and the finite sin‐Fourier transform as powerful tools in solving fractional differential equations with generalized Caputo derivative. We use these transforms to solve the time‐fractional heat equation with a generalized Caputo fractional derivative associated with heat absorption in spherical coordinates. We obtain the solutions in two cases of Dirichlet boundary conditions. The effect of the parameter ρ, which characterizes the generalized Caputo derivative is illustrated through some numerical examples.
- Subjects
CAPUTO fractional derivatives; HEAT radiation &; absorption; FRACTIONAL differential equations; SPHERICAL coordinates; HEAT equation; FOURIER transforms; HEAT conduction
- Publication
Heat Transfer, 2021, Vol 50, Issue 7, p6955
- ISSN
2688-4534
- Publication type
Article
- DOI
10.1002/htj.22211