Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Now showing 1 - 10 of 22
  • Article
    Citation - WoS: 7
    On Dynamics of Fractional-Order Model of Hcv Infection
    (Univ Prishtines, 2017) Khodabakhshi, Neda; Baleanu, Dumitru; Vaezpour, S. Mansour; Baleanu, Dumitru; Matematik
    In this paper, we investigate the dynamical behavior of the fractional-order model within Caputo derivative of HCV infection. Stability analysis of the equilibrium points is according to the basic reproduction number R-0. The numerical simulations are also presented to illustrate the results.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 8
    Psychometric Properties of the Turkish Version of Cohen- Mansfield Agitation Inventory in Patients With Dementia
    (Gunes Kitabevi Ltd Sti, 2012) Baştuğ, Gülbahar; Ozel-Kizil, E. Tugba; Bastug, Gulbahar; Erdogan, Seyda; Sakarya, Direnc; Durmaz, Nazli; Psikoloji
    Introduction: Cohen-Mansfield Agitation Inventory (CMAI) is frequently used in patients with dementia for the assessment of agitation severity. This instrument is especially used in research investigating the severity of behavioral symptoms and their treatment responses. In this study, psychometric properties of the Turkish version of CMAI were investigated in patients with dementia (n=52). Materials and Method: CMAI-Turkish version was applied by face-to-face interview to the caregivers of dementia patients who were admitted to a geriatric psychiatry outpatient clinic. For validity, the correlations between CMAI total scores and Neuropsychiatry Inventory (NPI) total and subscale scores were evaluated. For internal consistency, Cronbach alpha value of the items was calculated. Results: CMAI scores were significantly correlated with NPI scores and Cronbach alpha value of the scale was high (0.89). Conclusion: Turkish version of CMAI is a valid and reliable tool for the assessment of the frequency and severity of agitation behavior. Further studies might evaluate inter-rater reliability of the scale in inpatients with dementia.
  • Article
    Citation - WoS: 4
    Citation - Scopus: 5
    One-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; Matematik
    One-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 - WoS: 11
    Citation - Scopus: 11
    Best Proximity Results on Condensing Operators Via Measure of Noncompactness With Application To Integral Equations
    (Chiang Mai Univ, Fac Science, 2020) Gabeleh, Moosa; Karapınar, Erdal; Asadi, Mehdi; Karapinar, Erdal; Matematik
    We prove the best proximity point results for condensing operators on C-class of functions, by using a concept of measure of noncompactness. The results are applied to show the existence of a solution for certain integral equations. We express also an illsutrative examples to indicate the validity of the observed results.
  • Article
    Citation - WoS: 32
    Citation - Scopus: 33
    Lie Symmetry Analysis and Exact Solutions of the Time Fractional Gas Dynamics Equation
    (Natl inst Optoelectronics, 2016) Hashemi, M. S.; Baleanu, Dumitru; Baleanu, D.; Matematik
    Finding the symmetries of a given fractional differential equation is a hot topic in the field of fractional differentiation and its applications. In this manuscript, the Lie symmetries of the time fractional gas dynamics (TFGD) equation are analyzed and new exact solutions are obtained.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Solving Existence Problems Via F-Contraction in Modified B-Metric Spaces
    (Turkic World Mathematical Soc, 2022) Karapinar, E.; Karapınar, Erdal; Sedghi, S.; Shobe, N.; Matematik
    In this paper, we introduce a new abstract structure, expanded b-metric, as an natural extension of b-metric. We also define basic topological notions in expanded b -metric to able to investigate the existence of fixed point for such mappings under various F-contractive conditions. We provide example to illustrate the results presented herein.
  • Article
    Citation - WoS: 5
    Citation - Scopus: 6
    Coincidence Point Theorem on Hilbert Spaces Via Weak Ekeland Variational Principle and Application To Boundary Value Problem
    (Chiang Mai Univ, Fac Science, 2021) Asadi, Mehdi; Karapınar, Erdal; Karapinar, Erdal; Matematik
    In this paper, we give a new coincidence point theorem for two operators on Hilbert spaces for certain operators by using the weak Ekeland variational principle. Our paper extends and improves the results on the topic in the literature. We consider a boundary value problem as an application of our results.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 8
    Simple Mathematical Resolution for Binary Mixture of Oxfendazole and Oxyclozanide in Bolus by Bivariate and Multivariate Calibrations Based on the Linear Regression Functions
    (Editura Acad Romane, 2008) Dinc, Erdal; Baleanu, Dumitru; Baleanu, Dumitru; Tokar, Ferdi; Matematik
    Two simple mathematical approaches were proposed for the simultaneous determination of oxfendazole (OXF) and oxyclozanide (OXY) in their synthetic binary mixtures and commercial veterinary formulation without requiring a priory separation step. One of these mathematical calibration techniques is called the bivariate calibration (BSC) based Oil four linear regression functions obtained at the wavelengths (230nm and 305 nm) with two single-component regression equations for each compound. The selection of the above mentioned wavelengths was performed by using the Kaiser technique. In the second mathematical approach, the multivariate spectral calibration (MSC) was constructed by a combined use of 42 linear regression functions consisting of 21 single linear regression equations for each compound at 21-wavelength set in between 230 and 330 run with intervals of Delta lambda=5nm. These two mathematical approaches were validated and applied to the quantitative analysis of the commercial veterinary formulation containing OXF and OXY. In this study successful results for the synthetic and real samples were reported.
  • Article
    Chemometric Calibration Based on the Wavelet Transform for the Quantitative Resolution of Two-Colorant Mixtures
    (Editura Acad Romane, 2005) Baleanu, Dumitru; Dinç, E; Baleanu, D; Taş, Kenan; Üstundag, O; Tas, K; Matematik
    In this study we proposed a wavelet transform (WT) followed by two chemometric techniques for the quantitative determination of sunset yellow (SUN) and tartrazine (TAR) in their market samples. Absorbances of the concentration set formed by TAR and SUN mixtures were measured between 335-575 nm at 480 points with 0.5 nm intervals and their absorbance values as absorbance data vectors were transferred into the wavelets domain. A continuous wavelet transform (CWT) was applied, to the absorbance data. The obtained CWT-coefficients (x-block) and concentration set (y-block) were used for the construction of the principal component regression (VCR) and partial least squares (PLS) calibrations. Good results were reported for the application of the combining wavelets and chemometric tools in the determination of colorants in samples.
  • Article
    On Singular Fifth-Order Boundary Value Problems With Deficiency Indices (5, 5)
    (Math Soc Serbia-drustvo Matematicara Srbije, 2022) Uğurlu, Ekin; Ugurlu, Ekin; Tas, Kenan; Taş, Kenan; Matematik
    This paper is devoted to introduce a way of construction of the well-defined boundary conditions for the solutions of a singular fifth-order equation with deficiency indices (5, 5). Imposing suitable separated and coupled boundary conditions some properties of the eigenvalues of the problems have been investigated.