Hasan Bulut - Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey Devendra Kumar - Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India Jagdev Singh - Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India Ram Swroop - Department of Mathematics, Arya Institute of Engineering \& Technology, Rajasthan, India Haci Mehmet Baskonus - Department of Computer Engineering, Munzur University, Tunceli, Turkey
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.
Hasan Bulut, Devendra Kumar, Jagdev Singh, Ram Swroop, Haci Mehmet Baskonus, Analytic study for a fractional model of HIV infection of \(CD4^{+}T\) lymphocyte cells, Mathematics in Natural Science, 2 (2018), no. 1, 33--43
Bulut Hasan, Kumar Devendra, Singh Jagdev, Swroop Ram, Baskonus Haci Mehmet, Analytic study for a fractional model of HIV infection of \(CD4^{+}T\) lymphocyte cells. Math. Nat. Sci. (2018); 2(1):33--43
Bulut, Hasan, Kumar, Devendra, Singh, Jagdev, Swroop, Ram, Baskonus, Haci Mehmet. "Analytic study for a fractional model of HIV infection of \(CD4^{+}T\) lymphocyte cells." Mathematics in Natural Science, 2, no. 1 (2018): 33--43
