The Chebyshev Wavelet Method (CWM) for the Numerical Solution of Fractional HIV Infection of CD4$$^+$$T Cells Model

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In this research work, we considered the numerical solution of an essential fractional dynamical model of HIV infection of CD4$$^+$$T cells, by using a relatively new technique, Chebyshev Wavelet Method. The numerical simulations are performed for integer-order as well as for fractional-order of HIV models. In this research work, the fractional derivatives are defined by Caputo operator. The proposed method is implemented to solve both fractional and integer-order of HIV models. The result obtained by the suggested method are compare with Muntz–Legendre Polynomials, Laplace Transform with Pade Approximation, Developed Bessel Collocation Method, Laplace Decomposition Method and Runge–Kutta fourth-order (RK4) method. The comparison has verified the greatest accuracy then other existing method.