Atangana-Baleanu derivative with fractional order applied to the model of groundwater within an unconfined aquifer

被引：35
|
作者：
Alqahtani, Rubayyi T. [1 ]
机构：
[1] Al Imam Mohammad Ibn Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, POB 65892, Riyadh 11566, Saudi Arabia
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 06期
关键词：
Atangana-Baleanu derivatives; Laplace transforms; groundwater flow; unconfined aquifer; SINGULAR KERNEL; EQUATION;
D O I：
10.22436/jnsa.009.06.17
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The power law has been used to construct the derivative with fractional order in Caputo and Riemann-Liouville sense, if we viewed them as a convolution. However, it is not always possible to find the power law behaviour in nature. In 2016 Abdon Atangana and Dumitru Baleanu proposed a derivative that is based upon the generalized Mittag-Leffler function, since the Mittag-Leffler function is more suitable in expressing nature than power function. In this paper, we applied their new finding to the model of groundwater flowing within an unconfined aquifer. (C) 2016 All rights reserved.
引用
收藏
页码：3647 / 3654
页数：8
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