Akram, Muhammad MannanFarman, MuhammadAkgul, AliSaleem, Muhammad UmerAhmad, AqeelPartohaghigh, MohammadJarad, Fahd2024-12-242024-12-2420222473-6988https://doi.org/10.3934/math.2022739https://hdl.handle.net/20.500.12604/8389Recently different definitions of fractional derivatives are proposed for the development of real-world systems and mathematical models. In this paper, our main concern is to develop and analyze the effective numerical method for fractional order HIV/ AIDS model which is advanced approach for such biological models. With the help of an effective techniques and Sumudu transform, some new results are developed. Fractional order HIV/AIDS model is analyzed. Analysis for proposed model is new which will be helpful to understand the outbreak of HIV/AIDS in a community and will be helpful for future analysis to overcome the effect of HIV/AIDS. Novel numerical procedures are used for graphical results and their discussion.eninfo:eu-repo/semantics/openAccessSumudu transformuniquenessstability analysisfixed-point theoremArticle771338313401Q1WOS:000800283200005Q12-s2.0-8513100736810.3934/math.2022739