Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 4Citation - Scopus: 5One-Dimension Continuous Wavelet Resolution for the Simultaneous Analysis of Binary Mixture of Benazepril and Hydrochlorothiazide in Tablets Using Spectrophotometric Absorbance Data(Editura Academiei Romane, 2004) Dinç, E; Baleanu, Dumitru; Baleanu, D; MatematikOne-dimensional continuous wavelets transform (CWT) followed by a zero-crossing technique were applied to the quantitative resolution of a binary mixture of benazepril (BE) and hydrochlorothiazide (HCT) in two commercial tablet formulations. UV-spectra in the range of 210.1-300.0 nm, were recorded and transferred as vectors having 900 components into MATLAB 6.5. The analyzed signals corresponding to the above vectors were subjected to three CWT families, namely, Mexican (MEX), Haar (HA) and Daubechies3 (DAUB3) wavelets. For these three families a detailed analysis procedure was performed and we retained only those parameters creating many zero-crossing points for transformed signals. At locations where the wavelet transform of one component vanishes, the value of the mixture's transformed signal is due only to the other component. This allows rapid approximate determination of the concentrations. The above three wavelet bases provided reliable results of the analysis of the mixtures containing BE and HCT in two pharmaceutical tablet formulations.Article Citation - Scopus: 17A Jacobi Collocation Method for Troesch's Problem in Plasma Physics(Editura Academiei Romane, 2014) Doha, E.H.; Baleanu, Dumitru; Baleanu, D.; Bhrawi, A.H.; Hafez, R.M.; MatematikIn this paper, we propose a numerical approach for solving Troesch's problem which arises in the confinement of a plasma column by radiation pressure. It is also an inherently unstable two-point boundary value problem. The spatial approximation is based on shifted Jacobi-Gauss collocation method in which the shifted Jacobi-Gauss points are used as collocation nodes. The results presented here demonstrate reliability and efficiency of the method.Article Citation - WoS: 32Citation - Scopus: 24An Analytical Study of (2 + 1)-Dimensional Physical Models Embedded Entirely in Fractal Space(Editura Academiei Romane, 2019) Alquran, M.; Baleanu, Dumitru; Jaradat, I.; Baleanu, D.; Abdel-Muhsen, R.; MatematikIn this article, we analytically furnish the solution of (2+1)-dimension-al fractional differential equations, with distinct fractal-memory indices in all coordinates, as a trivariate (α, β, γ)−fractional power series representation. The method is tested on several physical models with inherited memories. Moreover, a version of Taylor’s theorem in fractal three-dimensional space is presented. As a special case, the solutions of the corresponding integer-order cases are extracted by letting α, β, γ → 1, which indicates to some extent for a sequential memory. © 2019, Editura Academiei Romane. All rights reserved.Article Citation - WoS: 12Citation - Scopus: 15Determination of Guaifenesin and Dextromethorphan in a Cough Syrup by Hplc With Fluorometric Detection(Editura Academiei Romane, 2006) Ozdemir, Abdil; Baleanu, Dumitru; Aksoy, Halil; Dinc, Erdal; Baleanu, Dumitru; Dermis, Saadet; MatematikA practical high-performance liquid chromatographic method with fluorometric detection for the determination of guaifenesin and dextromethorphan in cough syrup is described. The developed method contains simple, accurate and rapid sample preparation steps for the separation and simultaneous determination of active compounds in samples with existence of other excipients. Amilorid (AM) was used as an internal standard (IS) that has a fluorescence character in the working wavelength region. A good chromatographic separation of two drugs and IS was achieved on a Waters Symmetry(R) C18 Column 5 mu m 4.6 x 250 mm with mobile phase consisting of phosphate buffer (0.2 M, pH=2), acetonitrile and methyl alcohol (v/v, 62:23:15). Eluents were monitored by fluorescence detection at the excitation and emission wavelengths of 277 and 588 nm, respectively. Under the described conditions, the obtained calibration graphs are linear over the concentration range of 0.054.2 and 1.2-2.4 mg/mL for dextromethorphan and guaifenesin, respectively and the regression coefficients were greater than 0.999. The validation study was carried out fulfilling the ICH guidelines in order to prove that the new analytical method meets the fundamental criteria including selectivity, linearity, precision, accuracy and sensitivity.Article Hydrogen hosting of nanoscale boron cluster(Editura Academiei Romane, 2008) Böyükata, Mustafa; Özdoğan, C.; Güvenç, Ziya B.; Bäoyäukata, M.; ÄozdoGan, C.; Gäuvenc, Z.B.In this paper the Density Functional Results of hydrogen bonded boron micro clusters with B3LYP/6-311++G(d,p) level of computations will be presented. Energetics and structural stability with their possible stable geometries of various selected micro complexes of B(m)H(n) (for m and n <= 11 )boron hydrides have been analysed, and their binding energies with HOMO-LUMO energy gaps have been determined. Mainly, erects of the number of hydrogen atoms on the structures of the boranes are assessed. Moreover, for the cage configurations their distortions have been investigated for the neutral, anionic and cationic cases. It has been observed that there have been two opposing factors for the cage configurations. One of which is the "peeling" of the cage structures by the hydrogen atoms, and the other one is reforming a smaller cage form simultaneously with there remaining boron atoms inside. This is observed mostly for the odd values of m. From our studies it has been also observed that with the bare boronclusters alone, it is difficult to increase the capacity of the hydrogen storage. Therefore, further studies are necessary with the boron complexesArticle A Computationally Efficient Method For a Class of Fractional Variational and Optimal Control Problems Using Fractional Gegenbauer Functions(Editura Academiei Romane, 2018) El-Kalaawy, Ahmed A.; Doha, Eid H.; Ezz-Eldien, Samer S.; Abdelkawy, M. A.; Hafez, R. M.; Amin, A. Z. M.; Baleanu, Dumitru; Zaky, M. A.This paper is devoted to investigate, from the numerical point of view, fractional-order Gegenbauer functions to solve fractional variational problems and fractional optimal control problems. We first introduce an orthonormal system of fractional-order Gegenbauer functions. Then, a formulation for the fractional-order Gegenbauer operational matrix of fractional integration is constructed. An error upper bound for the operational matrix of the fractional integration is also given. The properties of the fractional-order Gegenbauer functions are utilized to reduce the given optimization problems to systems of algebraic equations. Some numerical examples are included to demonstrate the efficiency and the accuracy of the proposed approach.