More generalized groundwater model with space-time caputo Fabrizio fractional differentiation

被引：16

作者：

Djida, Jean-Daniel ^{[1
]}

Atangana, Abdon ^{[2
]}

机构：

[1] AIMS, Limbe Crystal Gardens, South West Regi, Cameroon

[2] Univ Free State, Inst Groundwater Studies, Fac Nat & Agr Sci, ZA-9300 Bloemfontein, South Africa

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2017年 / 33卷 / 05期

关键词：

groundwater flow equation; Caputo-Fabrizio fractional derivative; existence and uniqueness; EQUATIONS;

D O I：

10.1002/num.22156

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove existence and uniqueness of the flow of water within a confined aquifer with fractional diffusion in space and fractional time derivative in the sense of Caputo-Fabrizio using the classical contraction Banach theorem. We also propose the numerical approximation of the model using the Crank-Nicolson numerical scheme. To check the effectiveness of the model, stability analysis of the numerical scheme for the new model is presented.(c) 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 1616-1627, 2017

引用

页码：1616 / 1627

页数：12

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