Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
Browse
5 results
Search Results
Article Citation - WoS: 2Citation - Scopus: 2Experimental Design and Optimization for the Spectral Analysis of Two-Component Mixture(Chiminform Data S A, 2007) Dinc, Erdal; Baleanu, Dumitru; Arslan, Fahrettin; Baleanu, Dumitru; MatematikA chemometric experimental design was applied to obtain the optimal settings for spectrophotomeric quantitative resolution of two-component mixture containing benazepril hydrochloride (BE) and hydrochlorothiazide (HCT) in tablets. As it is known, the digital parameters for instance divisor concentration and All-interval are very important concepts for the application of the ratio spectra derivative spectrophotometry to the resolution of binary mixture systems. In this manuscript, a three-level full factor design was used to optimize the effects of the divisor concentration and Delta lambda-interval on the quantitative analysis of the above mentioned drugs in samples. Desirable results were obtained: firstly, with the divisor concentrations and Delta lambda-interval, 21.20 mu g/mL and Delta lambda=27.50 nm for BE in the ratio spectra first derivative spectrophotometry, secondly 27.20 mu g/mL and Delta = 5.4 for HCT in the ratio spectra second derivative method Under the above mentioned conditions, both first and second derivative approaches showed good precision, accuracy and linearity in the quantitative analysis of BE and HCT in two different pharmaceutical tablet products.Article Citation - WoS: 1Citation - Scopus: 1Fractional Differential Equation With a Complex Potential(Univ Nis, Fac Sci Math, 2020) Ugurlu, Ekin; Tas, Kenan; Baleanu, DumitruIn this manuscript, we discuss the square-integrable property of a fractional differential equation having a complex-valued potential function and we show that at least one of the linearly independent solutions of the fractional differential equation must be squarely integrable with respect to some function containing the imaginary parts of the spectral parameter and the potential function.Article Citation - WoS: 12Citation - Scopus: 15A Novel Method To Detect Almost Cyclostationary Structure(Elsevier, 2020) Baleanu, Dumitru; Bui Anh Tuan; Kim-Hung Pho; Mahmoudi, Mohammad Reza; Pho, Kim-hung; Tuan, Bui Anh; Anh Tuan, BuiThis paper is devoted to establish a computational approach to investigate that a discrete-time almost cyclostationary model is a suitable choice to fit on an observed dataset. The main idea is estimating the support of spectra and applying multiple testing. The simulated and real datasets are applied to study the performance of the introduced approach. The results confirm that the presented method acts efficiently in view of power study. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).Article Citation - WoS: 3Citation - Scopus: 5Coordinate-Free Approach for the Model Operator Associated With a Third-Order Dissipative Operator(Frontiers Media Sa, 2019) Ugurlu, Ekin; Baleanu, DumitruIn this paper we investigate the spectral properties of a third-order differential operator generated by a formally-symmetric differential expression and maximal dissipative boundary conditions. In fact, using the boundary value space of the minimal operator we introduce maximal selfadjoint and maximal non-selfadjoint (dissipative, accumulative) extensions. Using Solomyak's method on characteristic function of the contractive operator associated with a maximal dissipative operator we obtain some results on the root vectors of the dissipative operator. Finally, we introduce the selfadjoint dilation of the maximal dissipative operator and incoming and outgoing eigenfunctions of the dilation.Article Citation - WoS: 6Citation - Scopus: 6On Square Integrable Solutions of a Fractional Differential Equation(Elsevier Science inc, 2018) Ugurlu, Ekin; Baleanu, Dumitru; Tas, KenanIn this paper we construct the Weyl-Titchmarsh theory for the fractional Sturm-Liouville equation. For this purpose we used the Caputo and Riemann-Liouville fractional operators having the order is between zero and one. (C) 2018 Elsevier Inc. All rights reserved.