Yazar "Shah, Kamal" seçeneğine göre listele

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    Öğe
    Analysis of Nonlinear Mathematical Model of COVID-19 via Fractional-Order Piecewise Derivative
    (Akif AKGUL, 2023) Sinan, Muhammad; Shah, Kamal; Abdeljawad, Thabet; Akgül, Ali
    Short memory and long memory terms are excellently explained using the concept of piecewise fractional order derivatives. In this research work, we investigate dynamical systems addressing COVID-19 under piecewise equations with fractional order derivative (FOD). Here, we study the sensitivity of the proposed model by using some tools from the nonlinear analysis. Additionally, we develop a numerical scheme to simulate the model against various fractional orders by using Matlab 2016. All the results are presented graphically. © 2023 Chaos Theory and Applications. All rights reserved.
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    Öğe
    Computational analysis of the third order dispersive fractional PDE under exponential-decay and Mittag-Leffler type kernels
    (Wiley, 2023) Ahmad, Shabir; Ullah, Aman; Shah, Kamal; Akgul, Ali
    This article aims to investigate the fractional dispersive partial differential equations (FPDEs) under non-singular and non-local kernels. First, we study the fractional dispersive equations under the Caputo-Fabrizio fractional derivative in one and higher dimension. Second, we investigate the same equations under the Atangana-Baleanu derivative. The Laplace transform has an excellent convergence rate for the exact solution as compared to the other analytical methods. Therefore, we use Laplace transform to obtain the series solution of the proposed equations. We provide two examples of each equation to confirm the validity of the proposed scheme. The results and simulations of examples show higher convergence of the fractional-order solution to the integer-order solution. In the end, we provide the conclusion and physical interpretation of the figures.