Finance

Stability (learning theory)

Machine learning

Mathematical analysis

Fractional calculus

Virology

Economics

Order (exchange)

Dentistry

Uniqueness

Calculus (dental)

Applied mathematics

Human immunodeficiency virus (HIV)

Mathematics

Computer science

Fixed-point theorem

Numerical analysis

Medicine

Laplace transform

Chaos Solitons & Fractals

In this work, we study the Fractional Order (FO) model HIV/AIDS involving the Liouville–Caputo and Atangana–Baleanu–Caputo derivatives. The generalized HIV/AIDS model enable and indicates that some infected specific move from symptomatic phase to the asymptomatic phase in all kind of analysis. Special iterative solutions were obtained by the use of Laplace and Sumudu transform. Existence, uniqueness of the solution and stability criteria for the FO model were obtained by fixed point theorem. For the numerical treatment of generalized HIV/AIDS model, we using Adams methods. Furthermore, the convergency of the numerical solutions were analyzed in detail. Finally, for results illustration numerical simulations are presented.

Stability analysis and numerical solutions of fractional order HIV/AIDS model