CD4 and HIV infectious disease: In Figure 1, Figure 2, Figure 3 and Figure 4, we demonstrate the dynamical behavior of healthy CD4+ T-cells, infected CD4+ T-cells, and HIV-free virus by varying the fractional-order θ, i.e., θ=1.0,0.85,0.65,0.45 to observe the influence of fractional-order θ on the dynamics of HIV infection.