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    Analysis and Modeling of HIV Dynamical Transmission
    (Natural Sciences Publishing, 2022) Farman, Muhammad; Zafar, Nayab; Akgul, Ali; Kouser, Farhina; Tabassum, Muhammad Farhan; Ahmad, Aqeel; Ahmad, Muhammad O.
    In this article, HIV fractional order model is analyzed to reduce its effect on community and for control strategy. Verify the unique solutions of the proposed system as well as proved the stability analysis. Fractional order system is solved by using the Caputo fractional derivative operator b 2 (0,1] to check the effect of fractional parameter. Simulations are made to check the actual behavior of the HIV disease in the society. Such kind of analysis help to understand the outbreak of HIV and for future control strategy. © 2022 NSP
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    Fractional Order Techniques for Stiff Differential Equations Arising from Chemistry Kinetics
    (New York Business Global Llc, 2022) Wannan, Rania; Aslam, Muhammad; Farman, Muhammad; Akgul, Ali; Kouser, Farhina; Asad, Jihad
    In this paper, we consider the stiff systems of ordinary differential equations arising from chemistry kinetics. We develop the fractional order model for chemistry kinetics problems by using the Caputo Fabrizio and Atangana-Baleanu derivatives in Caputo sense. We apply the Sumudu transform to obtain the solutions of the models. Uniqueness and stability analysis of the problem are also established by using the fixed point theory results. Numerical results are obtained by using the proposed schemes which supports theoretical results. These concepts are very important for using the real-life problems like Brine tank cascade, Recycled Brine tank cascade, pond pollution, home heating and biomass transfer problem. These results are crucial for solving the nonlinear model in chemistry kinetics.