Mathematical analysis and numerical simulation for a smoking model with Atangana-Baleanu derivative

被引：146

作者：

Ucar, Sumeyra ^{[1
]}

Ucar, Esmehan ^{[1
]}

Ozdemir, Necati ^{[1
]}

Hammouch, Zakia ^{[2
]}

机构：

[1] Balikesir Univ, Dept Math, Fac Arts & Sci, Balikesir, Turkey

[2] Univ Moulay Ismail, Dept Math, Fac Sci & Tech Errachidia, Meknes, Morocco

来源：

CHAOS SOLITONS & FRACTALS | 2019年 / 118卷

关键词：

Fractional differential equations; Fixed point theory; Atangana-Baleanu derivative; Smoking model; Predictor-Corrector scheme;

D O I：

10.1016/j.chaos.2018.12.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper ensures meticulous mathematical study for analyzing the dynamics of smoking model and its public health with Atangana-Baleanu derivative. The existence and uniqueness problems to relevant model are examined via fixed point theory. The results are implemented by giving some illustrative graphics including the variation of fractional order. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：300 / 306

页数：7

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