Yazar "Abbas, Muhammad" seçeneğine göre listele

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  • [ X ]
    Öğe
    A Comparative Study of Time Fractional Nonlinear Drinfeld-Sokolov-Wilson System via Modified Auxiliary Equation Method
    (Mdpi, 2023) Akram, Ghazala; Sadaf, Maasoomah; Zainab, Iqra; Abbas, Muhammad; Akgul, Ali
    The time-fractional nonlinear Drinfeld-Sokolov-Wilson system, which has significance in the study of traveling waves, shallow water waves, water dispersion, and fluid mechanics, is examined in the presented work. Analytic exact solutions of the system are produced using the modified auxiliary equation method. The fractional implications on the model are examined under b-fractional derivative and a new fractional local derivative. Extracted solutions include rational, trigonometric, and hyperbolic functions with dark, periodic, and kink solitons. Additionally, by specifying values for fractional parameters, graphs are utilized to comprehend the fractional effects on the obtained solutions.
  • [ X ]
    Öğe
    Exact solutions involving special functions for unsteady convective flow of magnetohydrodynamic second grade fluid with ramped conditions
    (Springer, 2021) Riaz, Muhammad Bilal; Abro, Kashif Ali; Abualnaja, Khadijah M.; Akgul, Ali; Rehman, Aziz Ur; Abbas, Muhammad; Hamed, Y. S.
    A number of mathematical methods have been developed to determine the complex rheological behavior of fluid's models. Such mathematical models are investigated using statistical, empirical, analytical, and iterative (numerical) methods. Due to this fact, this manuscript proposes an analytical analysis and comparison between Sumudu and Laplace transforms for the prediction of unsteady convective flow of magnetized second grade fluid. The mathematical model, say, unsteady convective flow of magnetized second grade fluid, is based on nonfractional approach consisting of ramped conditions. In order to investigate the heat transfer and velocity field profile, we invoked Sumudu and Laplace transforms for finding the hidden aspects of unsteady convective flow of magnetized second grade fluid. For the sake of the comparative analysis, the graphical illustration is depicted that reflects effective results for the first time in the open literature. In short, the obtained profiles of temperature and velocity fields with Laplace and Sumudu transforms are in good agreement on the basis of numerical simulations.