Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 3Citation - Scopus: 3Numerical Solution of Space-Time Variable Fractional Order Advection-Dispersion Equation Using Jacobi Spectral Collocation Method(Univ Putra Malaysia Press, 2020) Moghadam, Soltanpour A.; Baleanu, Dumitru; Arabameri, M.; Barfeie, M.; Baleanu, D.; Soltanpour Moghadam, A.; MatematikThis article is aimed at studying computational solution of variable order fractional advection-dispersion equation for one-dimensional and two-dimensional spaces utilizing spectral collocation method. In the considered model, the time derivative is Coimbra fractional derivative and space derivative is a Riemann-Liouville derivative. Jacobi polynomials are applied as basic functions in approximation of the solution. The presented approach is an application of the shifted Jacobi-Gauss collocation (SJ-G-C) and the shifted Jacobi-Gauss-Radau collocation (SJ-GR-C) methods using for discretizing along space and time, respectively. Using the related collocation points, the problem would be changed to an algebraic equation system, which can be tackled applying a computational technique. At the end, several examples in one and two dimensional cases have been solved by introduced approach, it would be shown that the proposed numerical algorithm has considerably higher accuracy in contrast to the existing computational schemes including finite difference approach.Erratum Retraction Notice To “The Effect of Sedimentation Phenomenon of the Additives Silver Nano Particles on Water Pool Boiling Heat Transfer Coefficient: a Comprehensive Experimental Study” [J. Mol. Liq. 345 (2022) 117891] (Journal of Molecular Liquids (2022) 345, (S0167732221026167), (10.1016/J.molliq.2021.117891))(Elsevier B.V., 2025) Esfahani, M.B.B.; Mohammad Sajadi, S.; Abu-Hamdeh, N.H.; Bezzina, S.; Abdollahi, A.; Karimipour, A.; Baleanu, D.This article has been retracted: please see Elsevier policy on Article Correction, Retraction and Removal (https://www.elsevier.com/about/policies-and-standards/article-withdrawal). This article has been retracted at the request of the Editor-in-Chief. During revision the author Smain Bezzina was added to the revised paper without explanation and without exceptional approval by the journal editor, which is contrary to the journal policy on changes to authorship. Post-publication, an investigation conducted on behalf of the journal by Elsevier's Research Integrity & Publishing Ethics team also discovered that acceptance of this article was solely based upon the positive advice of a reviewer who was closely linked to two of the authors, Arash Karimipour and Ali Abdollahi. This compromised the editorial process and breached the journal's policies. The Ethics team has determined that the authors were requested by one of the reviewers to insert redundant references to their papers during the peer-review process. The investigation also discovered suspicious email addresses used by the authors during submission that were not associated with legitimate researcher accounts. Overall, the editor has determined that the authorship and the findings of the article cannot be relied upon, and has decided to retract the article. © 2025 Elsevier B.V.Erratum Retraction Notice To “Water Molecules Adsorption by a Porous Carbon Matrix in the Presence of Nacl Impurities Using Molecular Dynamic Simulation” [J. Mol. Liq. 347 (2022) 117998] (Journal of Molecular Liquids (2022) 347, (S0167732221027239), (10.1016/J.molliq.2021.117998))(Elsevier B.V., 2025) Moghadam, R.A.; Mohammad Sajadi, S.; Abu-Hamdeh, N.H.; Bezzina, S.; Kalbasi, R.; Karimipour, A.; Baleanu, D.This article has been retracted: please see Elsevier policy on Article Correction, Retraction and Removal (https://www.elsevier.com/about/policies-and-standards/article-withdrawal). This article has been retracted at the request of the Editor-in-Chief. During revision the author Smain Bezzina was added to the revised paper without explanation and without exceptional approval by the journal editor, which is contrary to the journal policy on changes to authorship. Post-publication, an investigation conducted on behalf of the journal by Elsevier's Research Integrity & Publishing Ethics team also discovered that acceptance of this article was solely based upon the positive advice of reviewers who were closely linked to one of the authors, Arash Karimipour. This compromised the editorial process and breached the journal's policies. The Ethics team has determined that the authors were requested by one of the reviewers to insert redundant references to their papers during the peer-review process. The investigation also discovered suspicious email addresses used by the authors during submission that were not associated with legitimate researcher accounts. Overall, the editor has determined that the authorship and the findings of the article cannot be relied upon, and has decided to retract the article. © 2025 Elsevier B.V.Article Citation - Scopus: 7Heuristic Computing With Active Set Method for the Nonlinear Rabinovich–fabrikant Model(Elsevier Ltd, 2023) Baleanu, D.; E Alhazmi, S.; Ben Said, S.; Sabir, Z.The current study shows a reliable stochastic computing heuristic approach for solving the nonlinear Rabinovich-Fabrikant model. This nonlinear model contains three ordinary differential equations. The process of stochastic computing artificial neural networks (ANNs) has been applied along with the competences of global heuristic genetic algorithm (GA) and local search active set (AS) methodologies, i.e., ANNs-GAAS. The construction of merit function is performed through the differential Rabinovich-Fabrikant model. The results obtained through this scheme are simple, reliable, and accurate, which have been calculated to optimize the merit function by using the GAAS method. The comparison of the obtained results through this scheme and the conventional reference solutions strengthens the correctness of the proposed method. Ten numbers of neurons along with the log-sigmoid transfer function in the neural network structure have been used to solve the model. The values of the absolute error are performed around 10−07 and 10−08 for each class of the Rabinovich-Fabrikant model. Moreover, the reliability of the ANNs-GAAS approach is observed by using different statistical approaches for solving the Rabinovich-Fabrikant model. © 2023 The AuthorsArticle Citation - WoS: 3Citation - Scopus: 2Unification and Extension of the Factorization Method for Constructing Exactly and Conditionally-Exactly Solvable Potentials. the Case of a Single Potential Generating Function(Elsevier, 2022) Nigmatullin, R. R.; Khamzin, A. A.; Baleanu, D.The article proposes a new algorithm for applying the factorization method to the problem of calculating the spectrum of exactly and conditionally exactly solvable potentials. The proposed algorithm allows us to unify and extend the capabilities of the factorization method to construct exactly solvable potentials. The new approach is demonstrated by calculating the eigenvalues of exactly solvable potentials constructed using a single function in the form of the Laurent-type polynomial. The algorithm makes it possible to significantly simplify the scheme for calculating the spectrum, parameters of the superpotential, as well as the constrain conditions for the parameters of the potential, in the case of conditionally exactly solvable potentials. It is shown that the shape of the spectrum is determined only by the differential equation, which is satisfied by the potential generating function.Article Citation - Scopus: 10The Korteweg-De Vries–caudrey–dodd–gibbon Dynamical Model: Its Conservation Laws, Solitons, and Complexiton(Shanghai Jiaotong University, 2022) Hosseini, K.; Akbulut, A.; Baleanu, D.; Salahshour, S.; Mirzazadeh, M.; Dehingia, K.The main purpose of the present paper is to conduct a detailed and thorough study on the Korteweg-de Vries–Caudrey–Dodd–Gibbon (KdV-CDG) dynamical model. More precisely, after considering the integrable KdV-CDG dynamical model describing certain properties of ocean dynamics, its conservation laws, solitons, and complexiton are respectively derived using the Ibragimov, Kudryashov, and Hirota methods. Several numerical simulations in two and three-dimensional postures are formally given to analyze the effect of nonlinear parameters. It is shown that nonlinear parameters play a key role in the dynamical properties of soliton and complexiton solutions. © 2022Article Citation - WoS: 23Citation - Scopus: 23The Generalized Sasa-Satsuma Equation and Its Optical Solitons(Springer, 2022) Hosseini, K.; Sadri, K.; Salahshour, S.; Baleanu, D.; Mirzazadeh, M.; Inc, MustafaThe principal goal of the presented paper is to investigate the dynamics of optical solitons for the generalized Sasa-Satsuma (GSS) equation describing the propagation of the femtosecond pulses in the systems of optical fiber transmission. More precisely, the governing model, which is a generalized version of the classical Sasa-Satsuma equation, is firstly reduced in a one-dimensional real regime through a specific transformation; then, its bright and dark optical solitons are established using the modified Kudryashov (MK) method. The changes in the amplitude of the bright and dark solitons are analyzed as a case study for various classes of free parameters. Considerable changes are observed in the optical solitons amplitude from the results presented in the current study.Article Citation - WoS: 12Citation - Scopus: 13Optical Solitons To the Ginzburg-Landau Equation Including the Parabolic Nonlinearity(Springer, 2022) Hosseini, K.; Mirzazadeh, M.; Akinyemi, L.; Baleanu, D.; Salahshour, S.The major goal of the present paper is to construct optical solitons of the Ginzburg-Landau equation including the parabolic nonlinearity. Such an ultimate goal is formally achieved with the aid of symbolic computation, a complex transformation, and Kudryashov and exponential methods. Several numerical simulations are given to explore the influence of the coefficients of nonlinear terms on the dynamical features of the obtained optical solitons. To the best of the authors' knowledge, the results reported in the current study, classified as bright and kink solitons, have a significant role in completing studies on the Ginzburg-Landau equation including the parabolic nonlinearity.Article Citation - WoS: 51Citation - Scopus: 56Optical Solitons of a High-Order Nonlinear Schrodinger Equation Involving Nonlinear Dispersions and Kerr Effect(Springer, 2022) Baleanu, D.; Salahshour, S.; Akinyemi, L.; Hosseini, K.; Mirzazadeh, M.The main aim of this paper is to conduct a detailed study on a high-order nonlinear Schrodinger (HONLS) equation involving nonlinear dispersions and the Kerr effect. More precisely, after reducing the governing model describing ultra-short pulses in optical fibers in a one-dimensional domain, its optical solitons including the bright and dark solitons are derived through the modified Kudryashov (MK) method. The dynamical behavior of the bright and dark solitons is formally investigated for different sets of the involved parameters. It is shown that increasing and decreasing nonlinear dispersions lead to significant changes in the amplitude of the bright and dark solitons.Article Citation - Scopus: 14The Dynamical Behavior for a Famous Class of Evolution Equations With Double Exponential Nonlinearities(Shanghai Jiaotong University, 2022) Baleanu, D.; Ali, K.K.; Nuruddeen, R.I.; Muhammad, L.; Aljohani, A.F.; Osman, M.S.; Alharthi, M.S.An analytical investigation for a famous class of evolution equations with double exponential nonlinearities that has vast applications in many nonlinear sciences is presented. These equations include the Tzitzéica Equation (TE), Dodd-Bullough-Mikhailov Equation (DBME), Tzitzéica-Dodd-Bullough-Mikhailov equation (TDBME) and the Peyrard Bishop DNA Equation (PB-DNA-E). Furthermore, the Kudryashov method for constructing exponential function solutions has been employed to reveal various sets of traveling wave solutions with different geometrical structures to the identified models. We also give the graphical illustrations of certain solutions to further analyze the results. © 2022