Yazar "Akram, Muhammad Mannan" seçeneğine göre listele

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    Analysis of Fractional Order Computer VirusModel with MultipleWays of Infections Potential
    (L and H Scientific Publishing, LLC, 2023) Akgül, Ali; Farman, Muhammad; Akram, Muhammad Mannan; Sajjad, Assad; Azeem, Muhammad
    In this paper, we propose a novel technique for the computer virus epidemic which contains infected external computer effects and removable storage media on the computer viruses. The positivity and boundedness for validation of the model are also discussed. The existence and uniqueness of the system of solutions for the model are made by using fixed point theory and iterative method. Numerical simulation obtained with proposed scheme which shows the impacts of varying the fraction-al-order parameters and the support of the theoretical results. © 2023 L&H Scientific Publishing, LLC. All rights reserved.
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    Analysis of HIV/AIDS model with Mittag-Leffler kernel
    (Amer Inst Mathematical Sciences-Aims, 2022) Akram, Muhammad Mannan; Farman, Muhammad; Akgul, Ali; Saleem, Muhammad Umer; Ahmad, Aqeel; Partohaghigh, Mohammad; Jarad, Fahd
    Recently 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.
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    Fractal fractional-order derivative for HIV/AIDS model with Mittag-Leffler kernel
    (Elsevier, 2022) Farman, Muhammad; Akgul, Ali; Tekin, Merve Tastan; Akram, Muhammad Mannan; Ahmad, Aqeel; Mahmoud, Emad E.; Yahia, Ibrahim S.
    In this paper, HIV/AIDS fractional-order model is studied. This epidemic phenomenon is analyzed using Caputo-Fabrizio and Fractal fractional derivative operator that includes an antiretroviral treatment compartment. The advanced approach is used for HIV/AIDS fractional order model to get reliable outcomes with the help of sumudu transform. The fractional-order HIV/AIDS model is analyzed qualitatively as well as verify unique solutions. Numerical simulations are performed to explain the effects of changing the fractional-order and to support the theoretical results using proposed methods for a range of fractional orders. Also, the comparison has been made with classical order derivative to check the effectiveness of the proposed method for HIV/ AIDS.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).