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Browsing by Author "Almusawa, Hassan"

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    Article
    Citation - WoS: 34
    Citation - Scopus: 40
    A Novel Analytical Algorithm for Generalized Fifth-Order Time-Fractional Nonlinear Evolution Equations With Conformable Time Derivative Arising in Shallow Water Waves
    (Elsevier, 2022) Al-Smadi, Mohammed; Almusawa, Hassan; Baleanu, Dumitru; Hayat, Tasawar; Alhodaly, Mohammed; Osman, M. S.; Abu Arqub, Omar; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    The purpose of this research is to study, investigate, and analyze a class of temporal time-FNEE models with time-FCDs that are indispensable in numerous nonlinear wave propagation phenomena. For this purpose, an efficient semi-analytical algorithm is developed and designed in view of the residual error terms for solving a class of fifth-order time-FCKdVEs. The analytical solutions of a dynamic wavefunction of the fractional Ito, Sawada-Kotera, Lax's Korteweg-de Vries, Caudrey-Dodd-Gibbon, and Kaup-Kupershmidt equations are provided in the form of a convergent conformable time-fractional series. The related consequences are discussed both theoretically as well as numerically considering the conformable sense. In this direction, convergence analysis and error estimates of the developed algorithm are studied and analyzed as well. Concerning the considered models, specific unidirectional physical experiments are given in a finite compact regime to confirm the theoretical aspects and to demonstrate the superiority of the novel algorithm compared to the other existing numerical methods. Moreover, some representative results are presented in two- and three-dimensional graphs, whilst dynamic behaviors of fractional parameters are reported for several alpha values. From the practical viewpoint, the archived simulations and consequences justify that the iterative algorithm is a straightforward and appropriate tool with computational efficiency for long-wavelength solutions of nonlinear time-FPDEs in physical phenomena. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University
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    Article
    Citation - WoS: 38
    Citation - Scopus: 45
    Protracted Study on a Real Physical Phenomenon Generated by Media Inhomogeneities
    (Elsevier, 2021) Ali, Khalid K.; Wazwaz, Abdul-Majid; Mehanna, M. S.; Baleanu, D.; Osman, M. S.; Almusawa, Hassan; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    In this work, we study the dynamical behavior for a real physical application due to the inhomogeneities of media via analytical and numerical approaches. This phenomenon is described by the 3D Date-Jimbo-Kashiwara-Miwa (3D-DJKM) equation. For analytical techniques, three different methods are performed to get hyperbolic, trigonometric and rational functions solutions. After that, the obtained solutions are graphically depicted through 2D-and 3D-plots and numerically compared via the finite difference algorithm to check the precision of the proposed methods.