Computational study of fractional order smoking model

被引：18

作者：

Singh, Harendra ^{[1
]}

Baleanu, Dumitru ^{[2
,3
,6
]}

Singh, Jagdev ^{[4
]}

Dutta, Hemen ^{[5
]}

机构：

[1] Postgrad Coll, Dept Math, Ghazipur 233001, Uttar Pradesh, India

[2] Cankaya Univ, Dept Math, Ankara, Turkey

[3] Inst Space Sci, Magurele, Romania

[4] JECRC Univ, Dept Math, Jaipur 303905, Rajasthan, India

[5] Gauhati Univ, Dept Math, Gauhati 781014, India

[6] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 142卷

关键词：

Fractional smoking model; Stability analysis; Fractional calculus; Numerical method;

D O I：

10.1016/j.chaos.2020.110440

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Smoking is a very challenging problem the world is facing every day. It contributes to deaths and major health problems to millions of people every year around the world. A lot of work has been devoted to study how to minimize smoking in the society. Here we study non-integer order smoking model using an iterative scheme which is combination of discretization of domain and short memory principle. We will also discuss stability of the proposed model and used iterative scheme. CPU time is listed in tabular to show the efficiency and figures are used to show behaviour of solution in long time. The proposed technique has high accuracy and low computational cost. Using figures fractional time behaviour of solution is also plotted. (C) 2020 Published by Elsevier Ltd.

引用

页数：7

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