A time-fractional HIV infection model with nonlinear diffusion

A time-fractional HIV infection model with nonlinear diffusion

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This paper deals with a set of three partial differential equations involving time-fractional derivatives and nonlinear diffusion operators.This model helps us to understand the HIV spread and transmission do not enter under construction sign into the patient.First, we prove the existence and uniqueness of weak solutions to the mathematical model.Then, the Galerkin finite element scheme is implemented to approximate the solution of the model.

Further, a-priori error bounds and convergence corsa exhaust scat pack charger estimates for the fully-discrete problem are derived.The second order convergence for the proposed scheme is also proved.Numerical tests are shown to validate the theoretical studies.