Laplace transform solution of the problem of time-fractional heat conduction in a two-layered slab

DOI10.17512/JAMCM.2015.4.10OpenAlexW2518788546MaRDI QIDQ2201185

Stanisław Kukla, Urszula Siedlecka

Publication date: 25 September 2020

Published in: Journal of Applied Mathematics and Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17512/jamcm.2015.4.10

zbMATH Keywords

Laplace transformationfractional heat conductiontwo-layered slab

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Laplace transform (44A10)

Related Items (3)

Time-fractional heat conduction in a two-layer composite slab ⋮ Numerical Solution of Euler-Lagrange Equation with Caputo Derivatives ⋮ The fractional Sturm-Liouville problem -- numerical approximation and application in fractional diffusion

Cites Work

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• Fractional heat conduction in an infinite medium with a spherical inclusion
• Temperature solution in multi-dimensional multi-layer bodies
• Numerical inversion of 2-D Laplace transforms applied to fractional diffusion equations
• The Dirichlet problem for the time-fractional advection-diffusion equation in a half-space
• A solution to the problem of time-fractional heat conduction in a multi-layer slab
• Linear Fractional Diffusion-Wave Equation for Scientists and Engineers

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