A new fractional analysis on the polluted lakes system

被引：26

作者：

Bildik, Necdet ^{[1
]}

Deniz, Sinan ^{[1
]}

机构：

[1] Manisa Celal Bayar Univ, Dept Math, Fac Art & Sci, TR-45140 Manisa, Turkey

来源：

CHAOS SOLITONS & FRACTALS | 2019年 / 122卷

关键词：

Atangana-Baleanu derivative; Systems of fractional differential equations; Water pollution;

D O I：

10.1016/j.chaos.2019.02.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we use Atangana-Baleanu derivative which is defined with the Mittag-Leffler function and has all the properties of a classical fractional derivative for solving the system of fractional differential equations. The classical model of polluted lakes system is modified by using the concept of fractional differentiation with nonsingular and nonlocal fading memory. The new numerical scheme recommended by Toufik and Atangana is used to analyze the modified model of polluted lakes system. Some numerical illustrations are presented to show the effect of the new fractional differentiation. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：17 / 24

页数：8

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