Browsing by Author "Arqub, Omar Abu"

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Citation Count: Arqub, Omar Abu;...et.al. (2022). "A novel analytical algorithm for generalized fifth-order time-fractional nonlinear evolution equations with conformable time derivative arising in shallow water waves", Alexandria Engineering Journal, Vol.61, No.7, pp.5753-5769.
A novel analytical algorithm for generalized fifth-order time-fractional nonlinear evolution equations with conformable time derivative arising in shallow water waves
(2022) Arqub, Omar Abu; Al-Smadi, Mohammed; Almusawa, Hassan; Baleanu, Dumitru; Hayat, Tasawar; Alhodaly, Mohammed; Osman, M.S.; 56389
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 α 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.
Citation Count: Baleanu, Dumitru...et al. (2020). "Soliton solutions of a nonlinear fractional sasa-satsuma equation in monomode optical fibers", Applied Mathematics and Information Sciences, Vol. 14, No. 3, pp. 365-374.
Soliton solutions of a nonlinear fractional sasa-satsuma equation in monomode optical fibers
(2020) Baleanu, Dumitru; Osman, M.S.; Zubair, Asad; Raza, Nauman; Arqub, Omar Abu; Ma, Wen-Xiu; 56389
This article is devoted to retrieving soliton solutions of a nonlinear Sasa-Satsuma equation governing the propagation of short light pulses in the monomode optical fibers using the effect of conformable fractional transformation. The Integrability is carried out by incorporating two versatile integration gadgets namely the first integral method and the generalized projective Riccati equation method. The resulting solutions include bright, dark, singular, periodic as well as rational solitons along with their existence criteria. Furthermore, the fractional behavior of the solutions is investigated comprehensively using graphs.