Analytic study for a fractional model of HIV infection of C D 4 + T lymphocyte cells

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.