Steady-state heat conduction in a medium with spatial non-singular fading memory: Derivation of Caputo-Fabrizio space-fractional derivative from Cattaneo concept with Jeffrey`s Kernel and analytical solutions

Steady-state heat conduction in a medium with spatial non-singular fading memory: Derivation of Caputo-Fabrizio space-fractional derivative from Cattaneo concept with Jeffrey`s Kernel and analytical solutions

Starting from the Cattaneo constitutive relation with a Jeffrey's kernel the derivation of a transient heat diffusion equation with relaxation term expressed through the Caputo-Fabrizio time fractional derivative has been developed. This approach allows seeing the physical back ground of the ne...

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Bibliographic Details
Main Author: Hristov Jordan
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2017-01-01
Series:Thermal Science
Subjects:
non-linear diffusion
non-singular fading memory
Jeffrey kernel
Caputo-Fabrizio derivative
integral balance approach
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-98361600115H.pdf

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http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-98361600115H.pdf

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