Ul Haq, IhtishamYavuz, MehmetAli, NigarAkgul, Ali2024-12-242024-12-2420221300-686X2297-8747https://doi.org/10.3390/mca27050082https://hdl.handle.net/20.500.12604/8245This article develops a within-host viral kinetics model of SARS-CoV-2 under the Caputo fractional-order operator. We prove the results of the solution's existence and uniqueness by using the Banach mapping contraction principle. Using the next-generation matrix method, we obtain the basic reproduction number. We analyze the model's endemic and disease-free equilibrium points for local and global stability. Furthermore, we find approximate solutions for the non-linear fractional model using the Modified Euler Method (MEM). To support analytical findings, numerical simulations are carried out.eninfo:eu-repo/semantics/openAccessSARS-CoV-2Banach mapping contraction principlelocal stabilityglobal stabilityModified Euler MethodArticle275N/AWOS:00087325050000110.3390/mca27050082