Browsing by Author "Nigmatullin, Raoul R."

Now showing 1 - 16 of 16

Citation - WoS: 15
Citation - Scopus: 14
Analysis of a nanofilm of the mercaptophenyl diazonium modified gold electrode within new statistical parameters
(Amer Scientific Publishers, 2010) Nigmatullin, Raoul R.; Baleanu, Dumitru; Baleanu, Dumitru; Dinc, Erdal; Ustundag, Zafer; Solak, Ali Osman; Kargin, Roman V.; 6981; 129297; Matematik
The main aim of this study is to characterize the nanosurface of the mercaptophenyl diazonium modified gold (Au) surface by a new statistical approach. In this study the gold electrode surfaces were self-assembled in ethyl alcohol by 1.0 mM mercaptophenyl diazonium. FT-IR spectra of the surface modifier molecules in both solid and nanofilm of mercaptophenyl diazonium (MCP-Au) forms were recorded in the spectral range of 600-4,000 cm(-1). The FT-IR spectra of solid mercaptophenyl diazonium tetrafluoroborate salt were obtained by using KBr pellets. The above FT-IR spectra of both bare Au and its nanofilm of mercaptophenyl diazonium were processed by new statistical approach to reach optimal smoothing trend for the characterization of the modified electrode surface consisting of the nanofilm of gold-mercaptophenyl diazonium. In the frame of new statistical approach all measured spectra have been 'read' in terms of a set of universal statistical parameters. These new parameters help to establish the statistical proximity of the smoothed spectra compared and give a possibility to classify the measured spectra in accordance with new set of statistical and robust quantitative values. Besides, there is a possibility to receive the relative fluctuations and the smoothed spectra of the second order. So, thanks to new approach we do not loose any measured information: the smoothed spectra and accompanied them noise (relative fluctuations) can be analyzed separately for detection of possible influence of predominant external factors that can be essential for this type of measurements.
Citation - WoS: 18
Citation - Scopus: 18
Characterization of a benzoic acid modified glassy carbon electrode expressed quantitatively by new statistical parameters
(Elsevier, 2009) Nigmatullin, Raoul R.; Baleanu, Dumitru; Baleanu, Dumitru; Dinc, Erdal; Solak, Ali Osman; 6981; Matematik
The main aim of this study is to characterize the nanosurface of the benzoic acid modified glassy carbon (GC) electrode by using a new statistical approach. In this study, the electrode surfaces were modified by cyclic voltametry in the potential range of +0.4 and -0.8 V at a scan rate 200 mV s(-1) for four cycles versus Ag/Ag+ electrode in acetonitrile containing 0.1 M tetrabutylammonium tetraflouroborate (TBATFB). FT-IR spectra of the surface modifier molecules in both solid (GC and nanofilm (GC-benzoic acid)) forms were recorded in the spectral range 600-4000 cm(-1). The FT-IR spectra of p-aminobenzoic acid were obtained by using KBr pellets. The above FT-IR spectra of both GC and its nanofilm with benzoic acid were processed by new statistical approach to reach optimal smoothing trend for the characterization of the modified electrode surface consisting of the nanofilm of GC-benzoic acid. In the frame of new statistical approach all measured spectra have been 'read' in terms of a set of universal statistical parameters. (C) 2008 Elsevier B.V. All rights reserved.
Citation - WoS: 9
Citation - Scopus: 11
Chemical bonding structure of TiO2 thin films grown on n-type Si
(Elsevier Science Sa, 2011) Cetin, S. Sebnem; Baleanu, Dumitru; Baleanu, Cristina-Mihaela; Nigmatullin, Raoul R.; Baleanu, Dumitru; Ozcelik, Suleyman; 115476; 8762; Matematik
Titanium dioxide thin films were obtained by RF magnetron sputtering system with different Ar and O atmospheres. Chemical bonding structures of the thin films were investigated using the Fourier transform infrared spectroscopy (FTIR) in the range of 400-7500 cm(-1) for as-deposited and conventionally thermal annealed films at different temperature in air. These structural characterizations of the films were carried out by describing the low-frequency fluctuations of the FTIR spectra using the noninvasive (i.e. error controllable) procedure of the optimal linear smoothing. This approach is based on the criterion of the minimal relative error in selection of the proper smoothing window. It allows the receiving an optimal separation of a possible trend from the high-frequency fluctuations, defined as a random sequence of the relative fluctuations possessing zero trends. Thus, the noise can be read and extra information about the structures was then obtained by comparing with the experimental results. In the film annealed at 900 degrees C, the rutile phase was the dominant crystalline phase as revealed by infrared spectroscopy. At the annealing temperatures lower than 900 degrees C, both the anatase and the rutile phases were coexisting. In addition, symmetric and asymmetric Si-O-Si vibrations modes were observed at around 1000 cm(-1) and 800 cm(-1), respectively. These peaks suggest that a thin SiO2 film was formed at the TiO2/Si interface during the growth and the annealing of the TiO2 films. It was also observed that the reactivity between TiO2 film and Si substrate is increased with the increasing annealing temperature. (C) 2011 Elsevier B.V. All rights reserved.
Citation - WoS: 1
Citation - Scopus: 2
Dielectric response of different complex materials
(Ieee-inst Electrical Electronics Engineers inc, 2012) Nigmatullin, Raoul R.; Baleanu, Dumitru; Zhang, Wei; Baleanu, Dumitru; Matematik
In this paper we describe novel results of the application of the non-orthogonal amplitude-frequency analysis of the smoothed signals (NAFASS) approach [1] for the analysis of the dielectric response of some complex materials. Our goal is to convince experimentalists that the NAFASS approach can serve as a useful tool in the cases when an underlying physical model is absent or in cases when it is necessary to calibrate the equipment with uncertain quantitative characteristics. The parameters obtained in the frame of the NAFASS approach can be used as metrological parameters for comparison of electromagnetic responses associated with properties of different dielectric materials.
Extraction of Reliable Information from Time-Domain Pressure and Flow Signals Measured By Means of Forced Oscillation Techniques
(Chiminform Data, 2014) Baleanu, Dumitru; Osokin, Sergey I.; Ionescu, Clara; Baleanu, Dumitru; 56389; Matematik
This paper aims to give a proof-of-concept for the possible application of the forced oscillation lung function test to assess the viscoelastic properties of the airways and tissue. In particular, a novel signal processing algorithm is employed on non-stationary, noisy, (relatively) short time series of respiratory pressure and flow signals. This novel technique is employed to filter the useful information from the signals acquired under two measurement conditions: pseudo-functional residual capacity (PFRC) and pseudo-total lung capacity (PTLC). The PFRC is the measurement performed at lowest lung volume with maximum deflation, and the PTLC is measurement performed at the maximum lung volume under maximum inflation. The results suggest that the proposed technique is able to extract information on the viscoelastic properties of the lung tissue at a macroscopic level. The conclusion of this preliminary study is that the proposed combination of signal processing method and lung function test is suited to be employed on a large database in order to deliver reference values and perform further statistical analysis.
Citation - WoS: 2
Citation - Scopus: 5
Linear Discrete Systems With Memory: A Generalization of The Langmuir Model
(de Gruyter Poland Sp Z O O, 2013) Baleanu, Dumitru; Baleanu, Dumitru; Nigmatullin, Raoul R.; 56389; Matematik
In this manuscript we analyzed a general solution of the linear nonlocal Langmuir model within time scale calculus. Several generalizations of the Langmuir model are presented together with their exact corresponding solutions. The physical meaning of the proposed models are investigated and their corresponding geometries are reported.
Citation - WoS: 8
Citation - Scopus: 8
New Method and Treatment Technique Applied To Interband Transition In Gaas1-Xpx Ternary Alloys
(versita, 2011) Baleanu, Cristina-Mihaela; Baleanu, Dumitru; Nigmatullin, Raoul R.; Cetin, Saime Sebnem; Baleanu, Dumitru; Ozcelik, Suleyman; 56389; Matematik
In this paper we presented a new method (Eigen-Coordinates (ECs)) that can be used for calculations of the critical points (CPs) energy of the interband-transition edges of the heterostructures. This new method is more accurate and complete in comparison with conventional ones and has a wide range of application for the calculation of the fitting parameters related to nontrivial functions that initially have nonlinear fitting parameters that are difficult to evaluate. The new method was applied to determine the CPs energies from the dielectric functions of the MBE grown GaAs1-xP (x) ternary alloys obtained using spectroscopic ellipsometry (SE) measurements at room temperature in the 0.5-5 eV photon energy region. The obtained results are in good agreement with the results of the other methods.
Citation - WoS: 20
Citation - Scopus: 31
New relationships connecting a class of fractal objects and fractional integrals in space
(versita, 2013) Nigmatullin, Raoul R.; Baleanu, Dumitru; Baleanu, Dumitru; 56389; Matematik
Many specialists working in the field of the fractional calculus and its applications simply replace the integer differentiation and integration operators by their non-integer generalizations and do not give any serious justifications for this replacement. What kind of "Physics" lies in this mathematical replacement? Is it possible to justify this replacement or not for the given type of fractal and find the proper physical meaning? These or other similar questions are not discussed properly in the current papers related to this subject. In this paper new approach that relates to the procedure of the averaging of smooth functions on a fractal set with fractional integrals is suggested. This approach contains the previous one as a partial case and gives new solutions when the microscopic function entering into the structural-factor does not have finite value at N a parts per thousand << 1 (N is number of self-similar objects). The approach was tested on the spatial Cantor set having M bars with different symmetry. There are cases when the averaging procedure leads to the power-law exponent that does not coincide with the fractal dimension of the self-similar object averaged. These new results will help researches to understand more clearly the meaning of the fractional integral. The limits of applicability of this approach and class of fractal are specified.
Citation - WoS: 64
Citation - Scopus: 70
Newtonian law with memory
(Springer, 2010) Baleanu, Dumitru; Baleanu, Dumitru; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Nigmatullin, Raoul R.; Matematik
In this study we analyzed the Newtonian equation with memory. One physical model possessing memory effect is analyzed in detail. The fractional generalization of this model is investigated and the exact solutions within Caputo and Riemann-Liouville fractional derivatives are reported.
Citation - WoS: 28
Citation - Scopus: 29
On fractional filtering versus conventional filtering in economics
(Elsevier, 2010) Omay, Tolga; Nigmatullin, Raoul R.; Omay, Tolga; Baleanu, Dumitru; Baleanu, Dumitru; Çankaya Meslek Yüksekokulu; Matematik
In this study, we compare the Hodrick-Prescott Filter technique with the Fractional filtering technique that has recently started to be used in various applied sciences like physics, engineering, and biology. We apply these filtering techniques to quarterly GDP data from Turkey for the period 1988:1-2003:2. The filtered series are analyzed using Minimum Square Error (MSE) and real life evidence. In the second part of the study, we use simulated data to analyze the statistical properties of the aforementioned filtering techniques. (C) 2009 Elsevier B.V. All rights reserved.
Citation - WoS: 14
Citation - Scopus: 14
On the Laplace integral representation of multivariate Mittag-Leffler functions in anomalous relaxation
(Wiley, 2016) Nigmatullin, Raoul R.; Baleanu, Dumitru; Khamzin, Airat A.; Baleanu, Dumitru; Matematik
In the given paper, a special method of representation of the Mittag-Leffler functions and their multivariate generalizations in the form of the Laplace integrals is suggested. The method is based on the usage of the generalized multiplication Efros theorem. The possibilities of a new method are demonstrated on derivation of the integral representations for relaxation functions used in the anomalous dielectric relaxation in time domain. Copyright (C) 2016 JohnWiley & Sons, Ltd.
Citation - WoS: 6
Citation - Scopus: 7
Raman Spectra of Nanodiamonds: New Treatment Procedure Directed for Improved Raman Signal Marker Detection
(Hindawi Ltd, 2013) Nigmatullin, Raoul R.; Baleanu, Dumitru; Baleanu, Dumitru; Povarova, Diana; Salah, Numan; Habib, Sami S.; Memic, Adnan; 56389; Matematik
Detonation nanodiamonds (NDs) have shown to be promising agents in several industries, ranging from electronic to biomedical applications. These NDs are characterized by small particle size ranging from 3 to 6 nm, while having a reactive surface and a stable inert core. Nanodiamonds can exhibit novel intrinsic properties such as fluorescence, high refractive index, and unique Raman signal making them very attractive imaging agents. In this work, we used several nanodiamond preparations for Raman spectroscopic studies. We exposed these nanodiamonds to increasing temperature treatments at constant heating rates (425-575 degrees C) aiding graphite release. We wanted to correlate changes in the nanodiamond surface and properties with Raman signal which could be used as a detection marker. These observations would hold potential utility in biomedical imaging applications. First, the procedure of optimal linear smoothing was applied successfully to eliminate the high-frequency fluctuations and to extract the smoothed Raman spectra. After that we applied the secondary Fourier transform as the fitting function based on some significant set of frequencies. The remnant noise was described in terms of the beta-distribution function. We expect this data treatment to provide better results in biomolecule tracking using nanodiamond base Raman labeling.
Citation - WoS: 6
Citation - Scopus: 8
Spectral analysis of HIV drugs for acquired immunodeficiency syndrome within modified non-invasive methods
(Chiminform Data S A, 2013) Nigmatullin, Raoul R.; Baleanu, Dumitru; Baleanu, Dumitru; Al-Zhrani, Abdulrahim A.; Alhamed, Yahia A.; Zahid, Adnan H.; Youssef, Tamer E.; 56389; Matematik
In this study a chromatographic separation of active ingredients for four drugs namely Combivir Kaletra, Valcyte and Viramune was performed on thin layer chromatography (TLC). Their spectra were analyzed for acquired immunodeficiency syndrome by using the Fourier transform infrared spectroscopy spectra combined with the new procedure of the optimal linear smoothing. Fourier transform of the second type was applied as the fitting function based on some significant set of frequencies for the smoothed signals. The obtained results show that the proposed method is efficient and easy to apply in extracting of a hidden information from signals corresponding to the four investigated drugs.
Citation - WoS: 18
Citation - Scopus: 22
The Derivation of the Generalized Functional Equations Describing Self-Similar Processes
(Walter de Gruyter Gmbh, 2012) Nigmatullin, Raoul R.; Baleanu, Dumitru; Baleanu, Dumitru; 56389; Matematik
The generalized functional equations describing a wide class of different self-similar processes are derived. These equations follow from the observation that microscopic function describing an initial self-similar process increases monotonically or even cannot have a certain value. The last case implies the behavior of trigonometric functions cos(z zeta (n) ), sin(z zeta (n) ) at zeta > 1 and n a parts per thousand << 1 that can enter to the microscopic function and when the limits of the initial scaling region are increasing and becoming large. The idea to obtain the desired functional equations is based on the approximate decoupling procedure reducing the increasing microscopic function to the linear combination of the same microscopic functions but having smaller scales. Based on this idea the new solutions for the well-known Weierstrass-Mandelbrot function were obtained. The generalized functional equations derived in this paper will help to increase the limits of applicability in description of a wide class of self-similar processes that exist in nature. The procedure that is presented in this paper allows to understand deeper the relationship between the procedure of the averaging of the smoothed functions on discrete self-similar structures and continuous fractional integrals.
Citation - WoS: 7
Citation - Scopus: 10
The First Observation of Memory Effects in the InfraRed (FT-IR) Measurements: Do Successive Measurements Remember Each Other?
(Public Library Science, 2014) Nigmatullin, Raoul R.; Baleanu, Dumitru; Osokin, Sergey I.; Baleanu, Dumitru; Al-Amri, Sawsan; Azam, Ameer; Memic, Adnan; 56389; Matematik
Over the past couple of decades there have been major advances in the field of nanoscience and nanotechnology. Many applications have sprouted from these fields of research. It is essential, given the scale of the materials, to attain accurate, valid and reproducible measurements. Material properties have shown to be a function of their size and composition. Physiochemical properties of the nanomaterials can significantly alter material behavior compared to bulk counterparts. For example, metal oxide nanoparticles have found broad applications ranging from photo-catalysis to antibacterial agents. In our study, we synthesized CuO nanoparticles using well established sol-gel based methods with varying levels of Ni doping. However, upon analysis of measured infrared data, we discovered the presence of quasi-periodic (QP) processes. Such processes have previously been reported to be tightly associated with measurement memory effects. We were able to detect the desired QP process in these measurements from three highly accurate repetitive experiments performed on each Ni (1-7%) doped CuO sample. In other words, successive measurements performed in a rather short period of time remember each other at least inside a group of neighboring measurements.
The first observation of memory effects in the infrared (FT-IR) measurements: Do successive measurements remember each other?
(2014) Baleanu, Dumitru; Osokin, Sergey I.; Baleanu, Dumitru; Al-Amri, Sawsan; Azam, Ameer; Memic, Adnan; 56389; Matematik
Over the past couple of decades there have been major advances in the field of nanoscience and nanotechnology. Many applications have sprouted from these fields of research. It is essential, given the scale of the materials, to attain accurate, valid and reproducible measurements. Material properties have shown to be a function of their size and composition. Physiochemical properties of the nanomaterials can significantly alter material behavior compared to bulk counterparts. For example, metal oxide nanoparticles have found broad applications ranging from photo-catalysis to antibacterial agents. In our study, we synthesized CuO nanoparticles using well established sol-gel based methods with varying levels of Ni doping. However, upon analysis of measured infrared data, we discovered the presence of quasi-periodic (QP) processes. Such processes have previously been reported to be tightly associated with measurement memory effects. We were able to detect the desired QP process in these measurements from three highly accurate repetitive experiments performed on each Ni (1-7%) doped CuO sample. In other words, successive measurements performed in a rather short period of time remember each other at least inside a group of neighboring measurements.