A note on Cattaneo-Hristov model with non-singular fading memory
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 sugges...
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VINCA Institute of Nuclear Sciences
2017-01-01
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| Series: | Thermal Science |
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| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-98361600298A.pdf |
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doaj-32fa6f24cd2540d08cec114450755b1e2021-01-02T11:50:57ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632017-01-01211 Part A1710.2298/TSCI160421298A0354-98361600298AA note on Cattaneo-Hristov model with non-singular fading memoryAlkahtani Badr Saad T.0Atangana Abdon1University of the Free State, Faculty of Natural and Agricultural Sciences, Institute for Groundwater Studies, Bloemfontein, South AfricaKing Saud University, Department of mathematics, colleges of sciences, Riyadh, Saudi ArabiaUsing 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.http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-98361600298A.pdfCattaneo-Hristov modelnon-singular fading memoryfractional derivative |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Alkahtani Badr Saad T. Atangana Abdon |
| spellingShingle |
Alkahtani Badr Saad T. Atangana Abdon A note on Cattaneo-Hristov model with non-singular fading memory Thermal Science Cattaneo-Hristov model non-singular fading memory fractional derivative |
| author_facet |
Alkahtani Badr Saad T. Atangana Abdon |
| author_sort |
Alkahtani Badr Saad T. |
| title |
A note on Cattaneo-Hristov model with non-singular fading memory |
| title_short |
A note on Cattaneo-Hristov model with non-singular fading memory |
| title_full |
A note on Cattaneo-Hristov model with non-singular fading memory |
| title_fullStr |
A note on Cattaneo-Hristov model with non-singular fading memory |
| title_full_unstemmed |
A note on Cattaneo-Hristov model with non-singular fading memory |
| title_sort |
note on cattaneo-hristov model with non-singular fading memory |
| publisher |
VINCA Institute of Nuclear Sciences |
| series |
Thermal Science |
| issn |
0354-9836 2334-7163 |
| publishDate |
2017-01-01 |
| description |
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. |
| topic |
Cattaneo-Hristov model non-singular fading memory fractional derivative |
| url |
http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-98361600298A.pdf |
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