Solving a fractional order model of HIV infection of CD4+ T cells

被引：59

作者：

Gokdogan, Ahmet ^{[1
]}

Yildirim, Ahmet ^{[2
]}

Merdan, Mehmet ^{[1
]}

机构：

[1] Gumushane Univ, Dept Engn Math, TR-29100 Gumushane, Turkey

[2] Ege Univ, Dept Math, TR-35000 Izmir, Turkey

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 9-10期

关键词：

A model for HIV infection of CD4(+) T cells; Multi-step differential transform method; Fractional order ordinary differential equation systems; HOMOTOPY PERTURBATION METHOD; PARTIAL-DIFFERENTIAL-EQUATIONS; VARIATIONAL ITERATION METHOD; DECOMPOSITION METHOD; MATHEMATICAL-ANALYSIS; NUMERICAL-SOLUTIONS; DYNAMICS;

D O I：

10.1016/j.mcm.2011.05.022

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, a multi-step differential transform method (MsDTM) is performed to give approximate and analytical solutions of nonlinear fractional order ordinary differential equation systems such as a model for HIV infection of CD4(+) T cells. The numerical solutions obtained from the proposed method indicate that the approach is easy to implement and accurate when applied to systems of fractional differential equations. Some figures are presented to show the reliability and simplicity of the methods. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2132 / 2138

页数：7

共 43 条

[11] An iterative method for solving nonlinear functional equations [J].

Daftardar-Gejji, V ;

Jafari, H .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 316 (02) :753-763

[12] Solving systems of fractional differential equations using differential transform method [J].

Erturk, Vedat Suat ;

Momani, Shaher .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 215 (01) :142-151

[13]

Hassan IHAH, 2002, APPL MATH COMPUT, V127, P1, DOI 10.1016/S0096-3003(00)00123-5

[14] Variational iteration method for autonomous ordinary differential systems [J].

He, JH .

APPLIED MATHEMATICS AND COMPUTATION, 2000, 114 (2-3) :115-123

[15] Variational iteration method - a kind of non-linear analytical technique: Some examples [J].

He, JH .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (04) :699-708

[16] Approximate analytical solution for seepage flow with fractional derivatives in porous media [J].

He, JH .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 167 (1-2) :57-68

[17] The homotopy perturbation method for nonlinear oscillators with discontinuities [J].

He, JH .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (01) :287-292

[18] Homotopy perturbation method for bifurcation of nonlinear problems [J].

He, JH .

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2005, 6 (02) :207-208

[19] Application of homotopy perturbation method to nonlinear wave equations [J].

He, JH .

CHAOS SOLITONS & FRACTALS, 2005, 26 (03) :695-700

[20] Homotopy perturbation technique [J].

He, JH .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 178 (3-4) :257-262

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