Solving a system of fractional partial differential equations arising in the model of HIV infection of CD4 + cells and attractor one-dimensional Keller-Segel equations

Advances in Difference Equations

Ernestine Alabaraoye¹  Abdon Atangana² 

[1] Department of chemistry, University of the Free State, Bloemfontein, South Africa;Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein, South Africa

关键词: model for HIV infection of CD4+ T cells;    attractor one-dimensional Keller-Segel equations;    fractional order derivative;    homotopy decomposition method;   

DOI  :  10.1186/1687-1847-2013-94

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we make use of the relatively new analytical technique, the homotopy decomposition method (HDM), to solve a system of fractional nonlinear differential equations that arise in the model for HIV infection of CD4+ T cells and attractor one-dimensional Keller-Segel equations. The technique is described and illustrated with a numerical example. The reliability of HDM and the reduction in computations give HDM a wider applicability. In addition, the calculations involved in HDM are very simple and straightforward.

【 授权许可】

CC BY