Yazar "Bota, Monica-Felicia" seçeneğine göre listele

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    A Novel Approach for the Approximate Solution of Wave Problems in Multi-Dimensional Orders with Computational Applications
    (Mdpi, 2022) Nadeem, Muhammad; Akguel, Ali; Guran, Liliana; Bota, Monica-Felicia
    The main goal of this paper is to introduce a new scheme, known as the Aboodh homotopy integral transform method (AHITM), for the approximate solution of wave problems in multi-dimensional orders. The Aboodh integral transform (AIT) removes the restriction of variables in the recurrence relation, whereas the homotopy perturbation method (HPM) derives the successive iterations using the initial conditions. The convergence analysis is provided to study a wave equation with multiple dimensions. Some computational applications are considered to show the efficiency of this scheme. Graphical representation between the approximate and the exact solution predicts the high rate of convergence of this approach.
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    Novel Mathematical Modelling of Platelet-Poor Plasma Arising in a Blood Coagulation System with the Fractional Caputo-Fabrizio Derivative
    (Mdpi, 2022) Partohaghighi, Mohammad; Akgul, Ali; Guran, Liliana; Bota, Monica-Felicia
    This study develops a fractional model using the Caputo-Fabrizio derivative with order a for platelet-poor plasma arising in a blood coagulation system. The existence of solutions ensures that there are solutions to the considered system of equations. Approximate solutions to the recommended model are presented by selecting different numbers of fractional orders and initial conditions (ICs). For each case, graphs of solutions are supplied through different dimensions.
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    Öğe
    Remarks on Fractal-Fractional Malkus Waterwheel Model with Computational Analysis
    (Mdpi, 2022) Guran, Liliana; Akgul, Esra Karatas; Akgul, Ali; Bota, Monica-Felicia
    In this paper, we investigate the fractal-fractional Malkus Waterwheel model in detail. We discuss the existence and uniqueness of a solution of the fractal-fractional model using the fixed point technique. We apply a very effective method to obtain the solutions of the model. We prove with numerical simulations the accuracy of the proposed method. We put in evidence the effects of the fractional order and the fractal dimension for a symmetric Malkus Waterwheel model.