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

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 meth...

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Bibliographic Details
Published in:Mathematical and computer modelling 2011-11, Vol.54 (9), p.2132-2138
Main Authors: Gökdoǧan, Ahmet, Yildirim, Ahmet, Merdan, Mehmet
Format: Article
Language:English
Subjects:
A model for HIV infection of CD4 + T cells
Exact sciences and technology
Fractional order ordinary differential equation systems
Mathematical analysis
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Multi-step differential transform method
Nonlinear algebraic and transcendental equations
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Sciences and techniques of general use
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Summary: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.
ISSN:0895-7177
1872-9479
DOI:10.1016/j.mcm.2011.05.022