Study of HIV Disease and Its Association with Immune Cells under Nonsingular and Nonlocal Fractal-Fractional Operator

HIV, like many other infections, is a severe and lethal infection. Fractal-fractional operators are frequently used in modeling numerous physical processes the current decade. These provide better dynamics of mathematical model because these generalization integer fractional-order operators. This paper aims to study HIV during primary infection by fractal-fractional Atangana–Baleanu (AB) The sufficient conditions for existence uniqueness solution proposed under AB operator derived via fixed point theory. numerical scheme presented using Adams–Bashforth method. Numerical results demonstrated different fractal fractional orders see effect order dimension on CD4+ T-cells