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    Analysis and numerical computations of the fractional regularized long-wave equation with damping term
    (Wiley, 2021) Yavuz, Mehmet; Sulaiman, Tukur Abdulkadir; Usta, Fuat; Bulut, Hasan
    This study explores the fractional damped generalized regularized long-wave equation in the sense of Caputo, Atangana-Baleanu, and Caputo-Fabrizio fractional derivatives. With the aid of fixed-point theorem in the Atangana-Baleanu fractional derivative with Mittag-Leffler-type kernel, we show the existence and uniqueness of the solution to the damped generalized regularized long-wave equation. The modified Laplace decomposition method (MLDM) defined in the sense of Caputo, Atangana-Baleanu, and Caputo-Fabrizio (in the Riemann sense) operators is used in securing the approximate-analytical solutions of the nonlinear model. The numerical simulations of the obtained solutions are performed with different suitable values of rho, which is the order of fractional parameter. We have seen the effect of the various parameters and variables on the displacement in figures.
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    A new survey to the nonlinear electrical transmission line model
    (KeAi Communications Co., 2021) Özer, Özen; Başkonuş, Hacı Mehmet; Bulut, Hasan; Amirali, Ilhame; Yel, Gülnur
    In this paper, we find new travelling wave solutions to the nonlinear electrical transmission line model. Exponential function method is applied. This model is used to the voltage behaviors in electrical transmission lines. Under a suitable choice of control parameters, we plot the figures along with contour surfaces of new solutions by using computational programs such as Mathematica, Maple and Matlab. Some information about the behavior of voltage on the electrical lines is extracted. The hyperbolic, periodic or singular properties are reported. © 2021