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