Arafa A.A.M.Rida S.Z.Khalil M.Department of mathematicsFaculty of ScienceSouth Valley UniversityQenaEgypt; Department of mathematicsFaculty of EngineeringModern Science and Arts University (MSA)GizaEgypt2020-01-252020-01-25201217534631https://doi.org/10.1186/1753-4631-6-1https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3275462/ScopusIn this paper, we introduce fractional-order into a model of HIV-1 infection of CD4 +T cells. We study the effect of the changing the average number of viral particles N with different sets of initial conditions on the dynamics of the presented model. Generalized Euler method (GEM) will be used to find a numerical solution of the HIV-1 infection fractional order model. � 2012 Arafa et al; licensee BioMed Central Ltd.EnglisharticleCD4+ T lymphocytegeneralized Euler methodHuman immunodeficiency virus 1 infectionmethodologymolecular dynamicsnonhumanprimary infectionpriority journalstatistical analysisvirus particleArticlehttps://doi.org/10.1186/1753-4631-6-1