A numeric-analytic method for approximating a giving up smoking model containing fractional derivatives

被引：68

作者：

Erturk, Vedat Suat ^{[3
]}

Zaman, Gul ^{[2
]}

Momani, Shaher ^{[1
]}

机构：

[1] Univ Jordan, Fac Sci, Dept Math, Amman 1194, Jordan

[2] Univ Malakand, Dept Math, Chakdara Dir Lower, Khyber Pakhtunk, Pakistan

[3] Ondokuz Mayis Univ, Fac Arts & Sci, Dept Math, TR-55139 Samsun, Turkey

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 64卷 / 10期

关键词：

Fractional differential equations; Mathematical model; Smoking dynamics; Differential transform method; DIFFERENTIAL TRANSFORM METHOD; EQUATIONS;

D O I：

10.1016/j.camwa.2012.02.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Smoking is one of the main causes of health problems and continues to be one of the world's most significant health challenges. In this paper, the dynamics of a giving up smoking model containing fractional derivatives is studied numerically. The multistep generalized differential transform method (for short MSGDTM) is employed to compute accurate approximate solutions to a giving up smoking model of fractional order. The unique positive solution for the fractional order model is presented. A comparative study between the new algorithm and the classical Runge-Kutta method is presented in the case of integer-order derivatives. The solutions obtained are also presented graphically. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：3065 / 3074

页数：10

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