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

被引：11

作者：

Alkahtani, Badr Saad T. ^{[1
]}

Atangana, Abdon ^{[2
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, Riyadh, Saudi Arabia

[2] Univ Free State, Fac Nat & Agr Sci, Inst Groundwater Studies, Bloemfontein, South Africa

来源：

THERMAL SCIENCE | 2017年 / 21卷 / 01期

关键词：

Cattaneo-Hristov model; non-singular fading memory; fractional derivative; HEAT-CONDUCTION; SINGULAR KERNEL; DIFFUSION; EQUATION; LAW;

D O I：

10.2298/TSCI160421298A

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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.

引用

页码：1 / 7

页数：7

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