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Badrsaad T. Alkahtani

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Abdon Atangana

A NOTE ON CATTANEO-HRISTOV MODEL WITH NON-SINGULAR FADING MEMORY

ABSTRACT
Using the new trend of fractional differentiation based on the concept of exponential decay law, the Cattaneo model of diffusion in elastic medium was extended by Hristov. This model displays more physical properties than the first version. However no solution of this new equation is suggested in the literature. Therefore, this paper is devoted to the analysis of numerical solution of the Cattaneo-Hristov model with non-singular fading memory.
KEYWORDS
Cattaneo-Hristov model, non-singular fading memory, fractional derivative
PAPER SUBMITTED: 2016-04-21
PAPER REVISED: 2016-05-30
PAPER ACCEPTED: 2016-06-15
PUBLISHED ONLINE: 2016-12-03
DOI REFERENCE: https://doi.org/10.2298/TSCI160421298A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 1, PAGES [1 - 7]
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A note on Cattaneo-Hristov model with non-singular fading memory

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