Yazar "Al Bayatti, Hilal" seçeneğine göre listele

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    Analysis and Modeling of Fractional Order Model for Hepatitis B at Different Stages
    (Natural Sciences Publishing, 2023) Raza, Ali; Farman, Muhammad; Ahmad, Aqeel; Akgul, Ali; Sultan, Muhammad; Al Bayatti, Hilal
    Fractional operator is used to construct the framework of complex hepatitis B by using Caputo and Caputo Fabrizio fractional order derivative. Examination the uniqueness and stability to test the viability of the fractional order model with the proposed numerical plan as well as analyzes qualitatively. Union of different parts behind iterative approach on account of Fabrizio offers a bounded solution that accomplished required outcomes. The fractional system of differential equations which has four parts, susceptible individuals A(t), acute infected B(t),C(t) is chronic hepatitis and I(t) represents individuals who have retrieve after the infection with a life time freedom. At the end, the impact of the framework parameter on the spread of the ailment are begun to analyze using the numerical simulations. © 2023 NSP Natural Sciences Publishing Cor.
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    Sumudu Transform for Some Implementations with a New Kernel
    (Natural Sciences Publishing, 2023) Akgul, Esra Karatas; Akgul, Ali; Jamshed, Wasim; Al Bayatti, Hilal
    In this essay, we examine real practical problems’ Sumudu transform solutions. We take into account the economic models that rely on a constant proportionate Caputo derivative and market equilibrium. By using intriguing implementations, we demonstrate the Sumudu transform’s precision and strength. © 2023 NSP Natural Sciences Publishing Cor.
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    Theoretical Analysis of HBV Infection Under Mittag-Leffler Derivative
    (Natural Sciences Publishing, 2023) Ahmad, Shabir; Ullah, Aman; Akgül, Ali; Al Bayatti, Hilal
    The theoretical study of fractional calculus has grown significantly during the last few years. For the theoretical analysis of fractional differential equations, primarily two methods were employed. One is the fixed point approach, which determines whether a solution exists, and the other is the functional analysis approach, which determines whether a solution is stable. This study investigates the theoretical features of HBV infection under a fractional operator with a nonsingular and nonlocal kernel. We examine the existence and uniqueness of the model’s results using the fixed point theorems of Banach and Krasnoselskii. According to the Hyres-Ulam stability studies, the HBV model’s solution is stable under the Atangana-Baleanu derivative. © 2023 NSP Natural Sciences Publishing Cor.