WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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Article Citation - WoS: 63Citation - Scopus: 70New Fractional Signal Smoothing Equations With Short Memory and Variable Order(Elsevier Gmbh, 2020) Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru; Ma, Chang-YouIn this paper, systems of fuzzy fractional differential equations with a lateral type of the Hukuhara derivative and the generalized Hukuhara derivative are numerically studied. Collocation method on discontinuous piecewise polynomial spaces is proposed. Convergence of the proposed method is analyzed. The superconvergent results on the graded mesh are studied. Examples are provided to support theoretical results. Finally, the effect of uncertainty in a diabetes model and its resulting complications is investigated as a practical application.Article Citation - WoS: 4Citation - Scopus: 4Comparison Between the Thermoelectric Properties of New Materials: the Alloy of Iron, Vanadium, Tungsten, and Aluminum (Fe2v0.8w0.2al) Against an Oxide Such as Naco2o4(Elsevier Gmbh, 2021) Kaid, Noureddine; Ameur, Houari; Inc, Mustafa; Baleanu, Dumitru; Menni, Younes; Lorenzini, Giulio; Sifi, IbtissemAn analysis of the thermoelectric characteristics of certain recently discovered materials is carried out in this investigation. The alloy of iron, vanadium, tungsten, and aluminum (Fe2V0.8W0.2Al) applied to a silicon crystal is compared to new inorganic thermoelectric materials, which are mosly oxides like NaCO2O4. For both materials, the thermoelectric effects, Seebeck effect, Peltier effect, Thomson effect, and Kelvin relations are described. The cooling rate's influence on the energy balance is also assessed. The traditional thermoelectric materials provided are mostly made up of toxic, rare and/or expensive elements, which makes large-scale thermoelectric generator integration difficult. In recent decades, research has shifted toward the development of novel materials with a better price-to-performance ratio. Despite a low conversion yield, the family of oxides offers significant benefits in this respect, which are particularly evident at high temperatures. The findings of our study indicated that Fe2V0.8W0.2 applied to a silicon crystal has good thermoelectric characteristics. A sufficient merit factor was found in the new substance under investigation.Article Citation - WoS: 23Citation - Scopus: 25Modeling the Fractional Non-Linear Schrodinger Equation Via Liouville-Caputo Fractional Derivative(Elsevier Gmbh, 2018) Morales-Delgado, V. F.; Gomez-Aguilar, J. F.; Taneco-Hernandez, M. A.; Baleanu, DumitruIn this paper the modified homotopy analysis transform method is applied to obtain approximate analytical solutions of the time-fractional non-linear Schrodinger equation. The fractional derivative is described in the Liouville-Caputo sense. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms. New exact solutions are constructed under constraint conditions. Employing theoretical parameters, we present some numerical simulations. (C) 2018 Elsevier GmbH. All rights reserved.Article Citation - WoS: 40Citation - Scopus: 41Dark and Singular Optical Solitons for the Conformable Space-Time Nonlinear Schrodinger Equation With Kerr and Power Law Nonlinearity(Elsevier Gmbh, 2018) Yusuf, Abdullahi; Aliyu, Aliyu Isa; Baleanu, Dumitru; Inc, MustafaThis paper extracts novel dark and singular optical solitons for the conformable space time nonlinear Schrodinger equation (CSTNLSE) with Kerr and power law nonlinearity by two integration schemes. The integration schemes are generalized tanh (GT), and Bernoulli (BL) sub-ODE methods. The constraints conditions for the existence of solitons are reported. The newly introduced fractional derivative called conformable derivative is used for extracting the soliton solutions. Numerical simulations of some of the obtained solutions are also presented. (C) 2018 Elsevier GmbH. All rights reserved.Article Citation - WoS: 22Citation - Scopus: 27A Novel Shuffling Technique Based on Fractional Chaotic Maps(Elsevier Gmbh, 2018) Baleanu, Dumitru; Wu, Guo-Cheng; Bai, Yun-RuAn image encryption technique based on the fractional logistic map is designed in this work. A novel shuffling technique is established by use of fractional chaotic signals. Then it is used to scramble pixel positions. The results are analyzed in comparison with the classical logistic map. Since the employed fractional chaotic map holds complicated dynamics behavior, the encryption result is highly secure. Moreover, by experimental and statistical analysis, we demonstrate that the encryption performance is better than the results in literature. (C) 2018 Published by Elsevier GmbH.Article Citation - WoS: 14Citation - Scopus: 15Gray Optical Soliton, Linear Stability Analysis and Conservation Laws Via Multipliers To the Cubic Nonlinear Schrodinger Equation(Elsevier Gmbh, 2018) Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru; Inc, MustafaThis paper addresses the cubic nonlinear Schrodinger equation with a bounded potential (CNLSE) which describes optical solitary waves propagation properties in optical fiber. A gray optical soliton solution of this equation is retrieved for the first time by adopting an appropriate solitary wave ansatz which play a vital role in understanding various physical phenomena in nonlinear systems. The integration lead to a constraint condition on the solitary wave parameters which must hold for the soliton to exist. We studied the conservation laws (Cls) of the CNLSE by analyzing a system of partial differential equations (PDEs) obtained by transforming the equation into real and imaginary components. The multiplier approach is employed to retrieve the conservation laws. Moreover, the modulation instability (MI) analysis of the model is studied by employing the linear-stability analysis and the MI gain spectrum is got. Physical interpretations of the acquired results are demonstrated. It is hoped that the results reported in this paper can enrich the nonlinear dynamical behaviors of the CNLSE. (C) 2018 Elsevier GmbH. All rights reserved.Article Citation - WoS: 50Citation - Scopus: 51Optical Solitary Waves, Conservation Laws and Modulation Instability Analysis To the Nonlinear Schrodinger's Equation in Compressional Dispersive Alven Waves(Elsevier Gmbh, 2018) Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru; Inc, MustafaIn this paper, the sine-Gordon equation expansion method (SGEM) is used to acquire the optical solitary waves to the nonlinear Schrodinger's equation (NLSE) that arises from compressional dispersive Alven (CDA) waves. As a result of the operations, dark, bright, dark-bright and singular optical solitary waves are derived. The solitary waves appear with all necessary constraint conditions which guarantee their existence. The Lie point symmetry generators of a system of partial differential equations (PDEs) obtained by transforming the equation into real and imaginary parts are derived. We prove that the system is nonlinearly self-adjoint with an explicit form of a differential substitution satisfying the nonlinear self-adjoint condition. Then we use these facts to construct a set of conservation laws (Cls) for the system using the general Cls theorem presented by lbragimov. Furthermore, the modulation instability (MI) is studied based on the standard linear-stability analysis and the MI gain spectrum is got. Numerical simulation of the obtained results are analyzed with interesting figures showing the physical meaning of the solutions. (C) 2017 Elsevier GmbH. All rights reserved.Article Citation - WoS: 15Citation - Scopus: 17Dark and Combined Optical Solitons, and Modulation Instability Analysis in Dispersive Metamaterial(Elsevier Gmbh, 2018) Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru; Inc, MustafaThis paper obtains the dark and dark-bright or combined optical solitons to the nonlinear schrodinger equation (NLSE) describing propagation in dispersive metamaterial in optical fibers. The integration algorithm is the complex envelope function ansatz. This naturally lead to some constraint conditions placed on the soliton parameters which must hold for the solitons to exist. The intensities and the nonlinear phase shifts of the solitons are reported. Furthermore, the modulation instability analysis (MI) is studied based on the standard linear-stability analysis and the MI gain spectrum is got. Numerical simulation of some obtained results are analyzed with interesting figures showing the physical meaning of the solutions. (C) 2017 Elsevier GmbH. All rights reserved.Article Citation - WoS: 44Citation - Scopus: 49Optical Solitons for Biswas-Milovic Model in Nonlinear Optics by Sine-Gordon Equation Method(Elsevier Gmbh, 2018) Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru; Inc, MustafaThis article studies the dynamics of optical solitons to the Biswas-Milovic equation (BME) which describes the dynamics of optical solitons in generalized form. There are four types of nonlinear fibers studied in this paper. They are quadratic-cubic, Kerr and Parabolic laws. The integration algorithm adopted is the Sine-Gordon equation method (SGEM). Dark, bright and dark-singular optical solitons are derived. Complex singular solitons are also reported. The obtained results have important applications in the study of solitons in optical fibers. (C) 2017 Elsevier GmbH. All rights reserved.Article Citation - WoS: 19Citation - Scopus: 21Optical Solitons and Stability Analysis With Spatio-Temporal Dispersion in Kerr and Quadric-Cubic Nonlinear Media(Elsevier Gmbh, 2019) Inc, Mustafa; Yusuf, Abdullahi; Baleanu, Dumitru; Aliyu, Aliyu IsaIn this work, we investigate the optical solitons to the nonlinear Schrodinger equation (NISE) with spatio-temporal dispersion (STD) arising in ferromagnetic materials and optical fiber. The integration technique adopted is the Sine-Gordon expansion method (SGEM). In addition, the stability analysis of the model is performed.