Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article On the Determination of the Quadratic Pencil of the Sturm-Liouville Operator With an Impulse(Pleiades Publishing Ltd, 2025) Khalili, Y.; Baleanu, D.In this work, an inverse problem for the quadratic pencil of the Sturm-Liouville operator with an impulse in the finite interval is considered. It is shown that some information on eigenfunctions at some internal point \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$b\in\left(\frac{1}{2},1\right)$$\end{document} and parts of two spectra uniquely determine the potential functions and all parameters in the boundary conditions. Moreover we prove that the potential functions on the whole interval and the parameters in the boundary conditions can be established from one spectrum and the potentials prescribed on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left(\frac{1}{2},1\right)$$\end{document}.Article Recent Advances in Special Functions, Fractional Operators and Their Real World Applications(Cambridge Scientific Publishers, 2021) Singh, J.; Baleanu, Dumitru; Baleanu, D.; Kumar, D.; Hammouch, Z.; MatematikThis special issue ”Recent Advances in Special Functions, Fractional Operators and their Real World Applications” of the journal Mathematics in Engineering, Science and Aerospace (MESA) is mainly collection of the research articles presented in 3rd International Conference on Mathematical Mod-elling, Applied Analysis and Computation (ICMMAAC-20) organized by the Department of Mathe-matics, JECRC University, Jaipur, India during August 7-9, 2020. This collection of articles is mainly concerned to address a wide range of special functions, operators of fractional order and their uses in mathematical modelling and computation of distinct problems of physical sciences, chemical sci-ences, biological sciences, engineering sciences, social science and economics. In the this special is-sue, expository and original research papers associated with the new trends and challenges in special functions and fractional order calculus and as well as their uses in real world problems are collected. Some are invited papers. © CSP - Cambridge, UK; I&S - Florida, USA, 2021Article Citation - WoS: 26Citation - Scopus: 25Numerical Investigations on the Physical Dynamics of the Coupled Fractional Boussinesq-Burgers System(Editura Acad Romane, 2020) Abu Irwaq, I.; Baleanu, Dumitru; Alquran, M.; Jaradat, I; Noorani, M. S. M.; Momani, S.; Baleanu, D.; MatematikThe coupled Boussinesq-Burgers system is a physical model of fluid flows in a dynamical system that describes the propagation of shallow water waves. In this work, we upgrade this model to include time-fractional derivatives. The effect of the fractional order in the propagation of the obtained solutions is discussed by using an adaptation of both the time-spectrum function method and the homotopy perturbation method. One of the main findings worth to be mentioned, is that the field functions involved in the coupled fractional Boussinesq-Burgers system have different stability behaviors. Tables and 3D plots regarding the accuracy of the proposed numerical methods are presented and comparison is made to show the preference of either method.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.Article Hyers-Ulam Stability of Fractional Stochastic Differential Equations With Random Impulse(Comenius Univ, 2022) Varshini, S.; Banupriya, K.; Ramkumar, K.; Ravikumar, K.; Baleanu, D.; Kandasamy, Banupriya; Sandrasekaran, Varshini; Kasinathan, RamkumarThe goal of this study is to derive a class of random impulsive fractional stochastic differential equations with finite delay that are of Caputo-type. Through certain constraints, the existence of the mild solution of the aforementioned system are acquired by Kransnoselskii's fixed point theorem. Furthermore, through Ito isometry and Gronwall's inequality, the Hyers-Ulam stability of the reckoned system is evaluated using Lipschitz condition.Article Computing Hankel Determinants Hm(2) of Dixon Elliptic Functions With Modulus α = 0 Using Regular C Fraction(Cambridge Scientific Publishers, 2025) Silambarasan, R.; Belgacem, F.B.M.; Nisar, K.S.; Baleanu, D.In this research paper Dixon elliptic functions (DEF) having modulus, α = 0, smN(x,0): N ≥ 1 smN(x,0)cm(x,0) and smN(x,0)cm(x,0): N ≥ 0 are expanded by Regular C fractions and generalized using the Sumudu transform. Then Hankel determinants Hm(2) of DEF are calculated without resort to Maclaurin's series. For this purpose Heliermann correspondence is applied to Regular C Fraction (RCF) coefficients. Higher order results are given using formal notation and compact form. Some known and previous results are proven and numerical examples given to check the validity in light of this paper's new findings. © (2025), (Cambridge Scientific Publishers). All rights reserved.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 - WoS: 1Citation - Scopus: 1Fractional Systems With Multi-Parameters Fractional Derivatives(Springer, 2025) Muslih, S.I.; Agrawal, O.P.; Baleanu, D.Recently, a generalization of fractional variational formulations in terms of multiparameter fractional derivatives was introduced by Agrawal and Muslih. This treatment can be used to obtain the Lagrangian and Hamiltonian equations of motion. In this paper, we also extend our work to introduce the generalization of the formulation for constrained mechanical systems containing multi-parameter fractional derivatives. Three examples for regular and constrained fractional systems are analyzed. © The Author(s) 2025.Book Part Introduction(Elsevier, 2022) Karaca, Y.; Baleanu, D.