Fractional heat conduction in multilayer spherical bodies

DOI10.17512/jamcm.2016.4.09OpenAlexW2565204801MaRDI QIDQ2659387

Urszula Siedlecka, Stanisław Kukla

Publication date: 26 March 2021

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.2016.4.09

zbMATH Keywords

heat conductionspherical coordinatesCaputo derivativemultilayer bodies

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (1)

An exact solution of the second-order differential equation with the fractional/generalised boundary conditions

Uses Software

• Heat Conduction Toolbox
• Fractional Heat Conduction Toolbox

Cites Work

• Unnamed Item
• Unnamed Item
• Fractional heat conduction in an infinite medium with a spherical inclusion
• Heat conduction modeling by using fractional-order derivatives
• Analytical solution for the time-fractional heat conduction equation in spherical coordinate system by the method of variable separation
• Mittag-Leffler functions and their applications
• An analytical method to solve heat conduction in layered spheres with time-dependent boundary conditions
• An exact analytical solution for two-dimensional, unsteady, multilayer heat conduction in spherical coordinates
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Linear Fractional Diffusion-Wave Equation for Scientists and Engineers

This page was built for publication: Fractional heat conduction in multilayer spherical bodies