Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Author: search.filters.author.Osman, M. S.Department: search.filters.department.Çankaya University

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  • Correction
    Citation - WoS: 3
    Citation - Scopus: 5
  • Article
    Citation - WoS: 35
    Citation - Scopus: 53
    A Numerical Combined Algorithm in Cubic B-Spline Method and Finite Difference Technique for the Time-Fractional Nonlinear Diffusion Wave Equation With Reaction and Damping Terms
    (Elsevier, 2022) Abu Arqub, Omar; Tayebi, Soumia; Baleanu, Dumitru; Osman, M. S.; Mahmoud, W.; Alsulami, Hamed
    The applications of the diffusion wave model of a time-fractional kind with damping and reaction terms can occur within classical physics. This quantification of the activity can measure the diagnosis of mechanical waves and light waves. The goal of this work is to predict and construct numerical solutions for such a diffusion model based on the uniform cubic B-spline functions. The Caputo time-fractional derivative has been estimated using the standard finite difference technique, whilst, the uniform cubic B-spline functions have been employed to achieve spatial discretization. The convergence of the suggested blueprint is discussed in detail. To assert the efficiency and authenticity of the study, we compute the approximate solutions for a couple of applications of the diffusion model in electromagnetics and fluid dynamics. To show the mathematical simulation, several tables and graphs are shown, and it was found that the graphical representations and their physical explanations describe the behavior of the solutions lucidly. The key benefit of the resultant scheme is that the algorithm is straightforward and makes it simple to implement as utilized in the highlight and conclusion part.
  • Article
    Citation - WoS: 26
    Citation - Scopus: 30
    Inelastic Soliton Wave Solutions With Different Geometrical Structures To Fractional Order Nonlinear Evolution Equations
    (Elsevier, 2022) Baleanu, Dumitru; Sadiya, Umme; Arefin, Mohammad Asif; Uddin, M. Hafiz; Elamin, Mahjoub A.; Osman, M. S.; Adel, M.; Hafiz Uddin, M.; Asif Arefin, Mohammad
    The general time fractional Burger- Fisher (TF-BF) and the space-time regularized long-wave (STF-RLW) equations are considered as examples of gravitational water waves in cold plasma as well as so many areas. The above equations are used in nonlinear science and engineering to study long waves in seas and harbors that travel in just one direction. First, the two equations are transformed to ODEs by applying a fractional complex transform along with characteristics of confirmable fractional derivative (CFD). Then, the extended tanh-function (ETF) approach is investigated to find a variety of analytical solutions with different geometrical wave structures the mentioned models. The results are in the form of kink, one-, two-, multiple-solitons solutions, and other types sketched in 2D, 3D, and contour patterns.
  • Article
    Citation - WoS: 35
    Citation - Scopus: 42
    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; Arqub, Omar Abu
    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
  • Article
    Citation - WoS: 41
    Citation - Scopus: 47
    New Soliton Solutions of the Mzk Equation and the Gerdjikov-Ivanov Equation by Employing the Double (g?/G,1 Method
    (Elsevier, 2023) Baleanu, Dumitru; Miah, M. Mamun; Ali, H. M. Shahadat; Alshehri, Hashim M.; Osman, M. S.; Iqbal, M. Ashik
    In the electrical transmission lines, the processing of cable signals distribution, computer networks, high-speed computer databases and discrete networks can be investigated by the modified Zakharov-Kuznetsov (mZK) equation as a data link propagation control model in the study of nonlinear Schro center dot dinger type equations as well as in the analysis of the generalized stationary Gardner equation. The proposed Gerdjikov-Ivanov model can be used in the field of nonlinear optics, weakly nonlinear dispersion water waves, quantum field theory etc. In this work, we developed complete traveling wave solutions with specific t-type, kink type, bell-type, singular solu-tions, and periodic singular solutions to the proposed mZK equation and the Gerdjikov-Ivanov equation with the aid of the double (G '/G,1/G)-expansion method. These settled solutions are very reliable, durable, and authentic which can measure the fluid velocity and fluid density in the electrically conductive fluid and be able to analysis of the flow of current and voltage of long-distance electrical transmission lines too. These traveling wave so-lutions are available in a closed format and make them easy to use. The proposed method is consistent with the abstraction of traveling wave solutions.
  • Article
    Citation - WoS: 24
    Citation - Scopus: 32
    Advanced Exact Solutions To the Nano-Ionic Currents Equation Through Mts and the Soliton Equation Containing the Rlc Transmission Line
    (Springer Heidelberg, 2023) Miah, M. Mamun; Iqbal, M. Ashik; Alshehri, Hashim M.; Baleanu, Dumitru; Osman, M. S.; Chowdhury, M. Akher
    In this study, the double (G '/G, 1/G)-expansion method is utilized for illustrating the improved explicit integral solutions for the two of nonlinear evolution equations. To expose the importance and convenience of our assumed method, we herein presume two models, namely the nano-ionic currents equation and the soliton equation. The exact solutions are generated with the aid of our proposed method in such a manner that the solutions involve to the rational, trigonometric, and hyperbolic functions for the first presumed nonlinear equation as well as the trigonometric and hyperbolic functions for the second one with meaningful symbols that promote some unique periodic and solitary solutions. The method used here is an extension of the (G '/G)-expansion method to rediscover all known solutions. We offer 2D and 3D charts of the various recovery solutions to better highlight our findings. Finally, we compared our results with those of earlier solutions.
  • Article
    Citation - WoS: 28
    Citation - Scopus: 29
    Solitons and Jacobi Elliptic Function Solutions To the Complex Ginzburg-Landau Equation
    (Frontiers Media Sa, 2020) Hosseini, Kamyar; Mirzazadeh, Mohammad; Osman, M. S.; Al Qurashi, Maysaa; Baleanu, Dumitru
    The complex Ginzburg-Landau (CGL) equation which describes the soliton propagation in the presence of the detuning factor is firstly considered; then its solitons as well as Jacobi elliptic function solutions are obtained systematically using a modified Jacobi elliptic expansion method. In special cases, several dark and bright soliton solutions to the CGL equation are retrieved when the modulus of ellipticity approaches unity. The results presented in the current work can help to complete previous studies on the complex Ginzburg-Landau equation.
  • 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
    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.
  • Article
    Citation - WoS: 35
    Citation - Scopus: 41
    Physically Significant Wave Solutions To the Riemann Wave Equations and the Landau-Ginsburg Equation
    (Elsevier, 2021) Aktar, Most Shewly; Uddin, M. Hafiz; Akbar, M. Ali; Baleanu, Dumitru; Osman, M. S.; Barman, Hemonta Kumar; Kumar Barman, Hemonta
    The nonlinear Riemann wave equations (RWEs) and the Landau-Ginsburg-Higgs (LGH) equation are related to plasma electrostatic waves, ion-cyclotron wave electrostatic potential, superconductivity, and drift coherent ioncyclotron waves in centrifugally inhomogeneous plasma. In this article, the interactions between the maximum order linear and nonlinear factors are balanced to compute realistic soliton solutions to the formerly stated equations in terms of hyperbolic functions. The linear and nonlinear effects rheostat the structure of the wave profiles, which vary in response to changes in the subjective parameters combined with the solutions. The established solutions to the aforementioned models using the extended tanh scheme are descriptive, typical, and consistent, and include standard soliton shapes such as bright soliton, dark soliton, compacton, peakon, periodic, and others that can be used to analyze in ion-acoustic and magneto-sound waves in plasma, homogeneous, and stationary media, particularly in the propagation of tidal and tsunami waves.
  • Article
    Citation - WoS: 20
    Citation - Scopus: 20
    On Distinctive Solitons Type Solutions for Some Important Nonlinear Schrodinger Equations
    (Springer, 2021) Machado, J. A. T.; Baleanu, D.; Zafar, A.; Raheel, M.; Osman, M. S.
    The extended Jacobi elliptic function expansion (EJEFE) method is used to retrieve several types of optical solitons of two nonlinear Schrodinger equations, namely the Heisenberg ferromagnetic spin chains and Alfven envelop equations. The obtained traveling wave solutions and the corresponding plots are analysed by means of the symbolic package Mathematica. The solutions show that the proposed strategy is effective and reliable for solving different types of nonlinear differential equations.