In this article, we implemented homotopy transform methods, namely, homotopy analysis transform method and homotopy perturbation Sumudu transform method to examine the fractional model for HIV infection of CD4 + T lymphocyte cells. Proliferation of CD4 + T lymphocyte cells is driven by a combination of the homeostatic response to cells depletion (CD4 + T cells counts) and viral load (HIV levels). The attraction of both the methods is that an approach of HPSTM is used and on other hand by HATM a

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... large admissible convergence range of series solution is described for standard as well as fractional order nonlinear problems.