Abstract
This study presents numerical simulations for a fractional-order HIV-I infection framework via power law and exponential decay kernels. A Lagrange polynomial-based two-step Adams-Bashforth numerical approach is used to solve the fractional-order HIV-I infection framework. The outcomes of this study are compared to existing approaches such as LADM, HPM, HAM, GEM, and RK4 to ensure the scheme’s usefulness and validity. The results of the fractional-order HIV-I infection framework generated using the suggested method are consistent with the existing approaches. To examine the model’s complicated dynamics, numerical simulations for various fractional-order values are performed and presented graphically. The findings suggest that the proposed technique for the fractional differential system is efficient and easy to implement.
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