Browsing by Author "Nigmatullin, Raoul R."

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Citation Count: Nigmatullin, R.R...et al. (2010). Analysis of a nanofilm of the mercaptophenyl diazonium modified gold electrode within new statistical parameters. Journal of Computational and Theoretical Nanoscience, 7(3), 562-570. http://dx.doi.org/10.1166/jctn.2010.1395
Analysis of a nanofilm of the mercaptophenyl diazonium modified gold electrode within new statistical parameters
(Amer Scientific Publishers, 2010) Nigmatullin, Raoul R.; Baleanu, Dumitru; Dinç, Erdal; Üstündağ, Zafer; Solak, Ali Osman; Kargin, Roman V.; 6981; 129297
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 Count: Nigmatulin, R.R...et al. (2010). Analysis of the effect of potential cycles on the reflective infrared signals of nitro groups in nanofilms: application of the fractional moments statistics. Electroanalysis, 22(4), 419-426. http://dx.doi.org/10.1002/elan.200900369
Analysis of the effect of potential cycles on the reflective infrared signals of nitro groups in nanofilms: application of the fractional moments statistics
(Wiley, 2010) Nigmatullin, Raoul R.; Alekhin, A. P.; Baleanu, Dumitru; Dinç, Erdal; Üstündağ, Zafer; Ekşi, Haslet; Solak, Ali Osman; 6981
The effect of the potential cycles on the reflective IR signals of nitro-groups in nanofilms was studied for the statistical characterization of nitrobenzene (NB) and nitroazobenzene (NAB)-modified glassy carbon (GC) surfaces. Both NB and NAB nanofilms were obtained by the electrochemical reduction of the diazonium tetrafluoroborate salts in acetonitrile using cyclic voltammetry (CV). The modified surfaces were denoted as GC-(NB)(n) and GC-(NAB)(n), respectively, where n indicates the number of CV cycles performed during modification. Reflective IR signals of the normalized NB and NAB nanofilms and GC were used for the quantitative evaluation of the effect of the potential cycles on the reflective IR signals of nitro-groups in nanofilms. The detection and quantitative 'reading' of the influence of number of CV cycles were realized in the frame of a new error controllable approach that was applied for analysis of all available set of data. This approach includes in itself the following basic steps: (a) the procedure of the division (normalization) on the GC spectra, (b) the comparison of the smoothed spectra for their statistical proximity in the frame of the statistics of the fractional moments, (c) extraction of possible calibration parameters for possible calibration of the normalized spectra with respect to the number of CV cycles. These three basic steps are becoming effective for detection of the influence of some external factors. In our case it is important to detect the influence of the factor n characterizing CV cycles
Citation Count: Nigmatullin, R.R...et al. (2011). Application of the linear principle for the strongly-correlated variables: Calculations of differences between spectra. Communications In Nonlinear Science And Numerical Simulation, 16(10), 4028-4036. http://dx.doi.org/10.1016/j.cnsns.2011.02.005
Application of the linear principle for the strongly-correlated variables: Calculations of differences between spectra
(Elsevier Science, 2011) Nigmatullin, Raoul R.; Popov, I. I.; Baleanu, Dumitru; Dinç, Erdal; Solak, A. U.; Ekşi, H.; Güzel, R.; 6981
In this paper the authors suggest a new method of detection of possible differences between similar near infrared (NIR) spectra based on the self-similar (fractal) property. This property is a general characteristic that belongs to a wide class of the strongly-correlated systems. As an example we take a set of NIR spectra measured for three systems: (1) glassy carbon (GC) electrodes, (2) GC electrodes affected by azobenzene (AB) substance and finally (3) films (AB-FILM). Besides the physical model that should describe the intrinsic properties of these substances we found the fitting function that follow from the linear principle for the strongly-correlated variables. This function expressed in the form of linear combination of 4 power-law functions describes with the high accuracy the integrated curves that were obtained from the averaged values of the initially measured spectra. The nine fitting parameters can be considered as the quantitative "finger prints" for detection of the differences between similar spectra. Besides this result we established the self-similar behavior of the remnant functions. In other words, the difference between the initially integrated function and its fitting function can be expressed in the form of linear combinations of periodical functions having a set of frequencies following to relationship omega(k) = omega(0)xi(k), where the initial frequency omega(0) and scaling factor xi are determined by the eigen-coordinates method. This behavior in the NIR spectra was discovered in the first time and physical reasons of such behavior merit an additional research
Citation Count: Nigmatullin, R.R...et al. (2013). "Application of the Prony'S Method To Analysis of the Ftır Data",Ifac Proceedings Volumes (Ifac-Papersonline), Vol. 46, No. 1, pp. 581-586.
Application of the Prony'S Method To Analysis of the FTIR Data
(IFAC Secretariat, 2013) Nigmatullin, Raoul R.; Baleanu, Dumitru; Özçelik, Süleyman; Çetin, Şebnem; 56389
In this manuscript we demonstrate the possibilities of a new spectroscopy that has controllable errors and enables to decompose any smoothed strongly-correlated signal into a linear combination of the trigonometric functions. These possibilities are illustrated on analysis of the FTIR spectra related to Zn with addition of a small concentration of dopant Mn at different temperatures. The Prony's distribution of frequencies can contain information about possible fractal structure of the signal analyzed. The informative-significant band of frequencies that is obtained after the application of the Prony's decomposition can open new possibilities in analysis of different smoothed signals.
Citation Count: Nigmatullin, R.R...et al. (2009). Characterization of a benzoic acid modified glassy carbon electrode expressed quantitatively by new statistical parameters. Physica-Low-Dimensional Systems&Nanostructures, 41(4), 609-616. http://dx.doi.org/10.1016/j.physe.2008.10.015
Characterization of a benzoic acid modified glassy carbon electrode expressed quantitatively by new statistical parameters
(Elsevier Science Bv, 2009) Nigmatullin, Raoul R.; Baleanu, Dumitru; Dinç, Erdal; Solak, Ali Osman; 6981
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
Citation Count: Çetin, S.Ş...et al. (2011). Chemical bonding structure of TiO2 thin films grown on n-type Si. Thin Solid Films, 519(16), 5712-5719. http://dx.doi.org/10.1016/j.tsf.2011.04.021
Chemical bonding structure of TiO2 thin films grown on n-type Si
(Elsevier Science SA, 2011) Çetin, S. Şebnem; Baleanu, Cristina-Mihaela; Nigmatullin, Raoul R.; Baleanu, Dumitru; Özçelik, Süleyman; 115476; 8762
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
Citation Count: Nigmatullin, R.R., Zhang, W., Baleanu, D. (2012). Dielectric response of different complex materials. IEEE Transactions On Dielectrics And Electrical Insulation, 19(4), 1344-1350.
Dielectric response of different complex materials
(IEEE-Inst Electrical Electronics Engineers Inc, 2012) Nigmatullin, Raoul R.; Zhang, Wei; Baleanu, Dumitru
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
Citation Count: Nigmatullin, Raoul R...et al. (2014). "Extraction of Reliable Information from Time-Domain Pressure and Flow Signals Measured By Means of Forced Oscillation Techniques", Revista De Chimie, 65, No. 3, pp. 299-305.
Extraction of Reliable Information from Time-Domain Pressure and Flow Signals Measured By Means of Forced Oscillation Techniques
(Chiminform Data, 2014) Nigmatullin, Raoul R.; Osokin, Sergey I.; Ionescu, Clara; Baleanu, Dumitru; 56389
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 Count: Baleanu, D...et al. (2010). Fractional Newtonian mechanics. Central European Journal Of Physics, 8(1), 120-125. http://dx.doi.org/10.2478/s11534-009-0085-x
Fractional Newtonian mechanics
(Versita, 2010) Baleanu, Dumitru; Golmankhaneh, Alireza K.; Nigmatullin, Raoul R.; Golmankhaneh, Ali K.
In the present paper, we have introduced the generalized Newtonian law and fractional Langevin equation. We have derived potentials corresponding to different kinds of forces involving both the right and the left fractional derivatives. Illustrative examples have worked out to explain the formalism
Citation Count: Nigmatullin, R.R., Baleanu, D. (2010). Is It Possible to Derive Newtonian Equations of Motion with Memory?. International Journal of Theoretical Physics, 49(4), 701-708. http://dx.doi.org/10.1007/s10773-010-0249-x
Is It Possible to Derive Newtonian Equations of Motion with Memory?
(Springer/Plenum Publishers, 2010) Nigmatullin, Raoul R.; Baleanu, Dumitru
In this paper for a given example we proved that the Riemann-Liouville fractional integral term appears naturally and relates the external force with acceleration within the fractional Newtonian equation. The consideration of some self-similar process that leads to the fractional integral as well as some possible generalizations of the proposed model was discussed
Citation Count: Baleanu, Dumitru; Nigmatullin, Raoul R., "Linear Discrete Systems With Memory: A Generalization of The Langmuir Model", Central European Journal of Physics, 11, No. 10, pp. 1233-1237, (2013).
Linear Discrete Systems With Memory: A Generalization of The Langmuir Model
(Sciendo, 2013) Baleanu, Dumitru; Nigmatullin, Raoul R.; 56389
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 Count: Nigmatullin, Raoul R.; Baleanu, Dumitru, "New relationships connecting a class of fractal objects and fractional integrals in space" Fractional Calculus and Applied Analysis, Vol.16, No.4, pp.911-936, (2013)
New relationships connecting a class of fractal objects and fractional integrals in space
(Versita, 2013) Nigmatullin, Raoul R.; Baleanu, Dumitru; 56389
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 Count: Baleanu, D...et al. (2010). Newtonian law with memory. Nonlinear Dynamics, 60(1-2), 81-86. http://dx.doi.org/10.1007/s11071-009-9581-1
Newtonian law with memory
(Springer, 2010) Baleanu, Dumitru; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Nigmatullin, Raoul R.
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 Count: Nigmatullin, R. R...et al. (2012). "NON-INVASIVE METHODS APPLIED FOR COMPLEX SIGNALS", Romanian Reports In Physics, Vol. 64, No. 4, pp. 1032-1045.
Non-Invasive Methods Applied for Complex Signals
(Editura Academiei Romane, 2012) Nigmatullin, Raoul R.; Ionescu, Clara; Osokin, Sergey I.; Baleanu, Dumitru; Toboev, V.A.; 56389
This paper presents the application of a novel algorithm on virtually generated data from patients during anesthesia. Realistic artefacts are simulated in order to validate the usefulness of the proposed methods in separating the signal components: biological trend and artefacts. The results show that the proposed new algorithm can be successfully employed on biological signals to dynamically extract information and distil useful parameters for clinical evaluation.
Citation Count: Nigmatullin, R.R., Omay, T., Baleanu, D. (2009). On fractional filtering versus conventional filtering in economics. Communications In Nonlinear Science And Numerical Simulation, 15(4), 979-986. http://dx.doi.org/10.1016/j.cnsns.2009.05.027
On fractional filtering versus conventional filtering in economics
(Elsevier Science, 2010) Nigmatullin, Raoul R.; Omay, Tolga; Baleanu, Dumitru
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
Citation Count: Nigmatullin, R.R...et al. (2015). On the analysis of data emerging in non-linear and complex systems comparison of two x-ray prony spectra. Revista De Chimie, 66(12), 1929-1937.
On the analysis of data emerging in non-linear and complex systems comparison of two x-ray prony spectra
(Chiminform Data SA, 2015) Nigmatullin, Raoul R.; Khramov, A. S.; Kiyamov, A. G.; Fatkhullin, B. F.; Machado, J. A. Tenreiro; Baleanu, Dumitru
New arguments proving that successive (repeated) measurements have a memory and actually remember each other are presented. The recognition of this peculiarity can change essentially the existing paradigm associated with conventional observation in behavior of different complex systems and lead towards the application of an intermediate model (IM). This IM can provide a very accurate fit of the measured data in terms of the Prony's decomposition. This decomposition, in turn, contains a small set of the fitting parameters relatively to the number of initial data points and allows comparing the measured data in cases where the "best fit" model based on some specific physical principles is absent. As an example, we consider two X-ray diffractometers (defined in paper as A-("cheap') and B-("expensive') that are used after their proper calibration for the measuring of the same substance (corundum a-Al20). The amplitude-frequency response (AFR) obtained in the frame of the Prony's decomposition can be used for comparison of the spectra recorded from (A) and (B) -X-ray diffractometers (XRDs) for calibration and other practical purposes. We prove also that the Fourier decomposition can be adapted to "ideal" experiment without memory while the Prony's decomposition corresponds to real measurement and can be fitted in the frame of the I M in this case. New statistical parameters describing the properties of experimental equipment (irrespective to their internal "filling") are found. The suggested approach is rather general and can be used for calibration and comparison of different complex dynamical systems in practical purposes
Citation Count: Nigmatullin, R.R., Khamzin, A.A., Baleanu, D. (2016). On the Laplace integral representation of multivariate Mittag-Leffler functions in anomalous relaxation. Mathematical Methods In The Applied Sciences, 39(11), 2983-2992. http://dx.doi.org/10.1002/mma.3746
On the Laplace integral representation of multivariate Mittag-Leffler functions in anomalous relaxation
(Wiley-Blackwell, 2016) Nigmatullin, Raoul R.; Khamzin, Airat A.; Baleanu, Dumitru
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.
Citation Count: Nigmatullin, R.R., Popov, I.I., Baleanu, D. (2011). Predictions based on the cumulative curves: Basic principles and nontrivial example. Communications In Nonlinear Science And Numerical Simulation, 16(2), 895-915. http://dx.doi.org/10.1016/j.cnsns.2010.05.023
Predictions based on the cumulative curves: Basic principles and nontrivial example
(Elsevier Science BV, 2011) Nigmatullin, Raoul R.; Popov, I.I.; Baleanu, Dumitru
In this paper the new prediction method based on analysis of the integrated (cumulative) curves is suggested. This method includes the procedure of the optimal linear smoothing (POLS) for the finding of optimal trends, independent "reading" of relative fluctuations in terms of beta-distribution function that are formed after subtraction of the calculated trend and the recognition of the proper fitting hypothesis for the integrated optimal trends by the eigen-coordinates method. The combined noninvasive approach was applied to analysis of temperature data obtained from the site http://data.giss.nasa.gov/gistemp/ related to the global warming (GW) phenomenon. These data are considered as nontrivial examples of verification of new forecasting method. The available data were combined into six files covering the mean/anomalous temperature 1546 month's points covering the period from the January of 1880 up to October of 2008. Besides the global registered points the combined files included in themselves the north/south data points measured independently for both the Earth's hemispheres. The combined new method (preliminary verified on mimic data) applied to these files predicts the changing of the GW period by the global cooling (GC) period that will happen during the years 2038-2136. Besides this important result a new method helps to discover the influence of a small but stable oscillating process with a set of self-similar periods Omega(n) = Omega(0)xi(n), n = 0, +/- 1, +/- 2, +/- 3, +/- 4 with mean period < T > = 12.55 year. This fact should present interest for ecologists and meteorologists working in this field. (C) 2010 Elsevier B.V. All rights reserved
Raman Spectra of Nanodiamonds: New Treatment Procedure Directed for Improved Raman Signal Marker Detection
(Hindawi LTD, 2013) Nigmatullin, Raoul R.; Baleanu, Dumitru; Povarova, Diana; Salah, Numan; Habib, Sami S.; Memic, Adnan; 56389
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 Count: Nigmatullin, Raoul R.; Baleanu, Dumitru (2019). "Relationships between 1D and space fractals and fractional integrals and their applications in physics", Applications in Physics, Part A, pp. 183-219.
Relationships between 1D and space fractals and fractional integrals and their applications in physics
(2019) Nigmatullin, Raoul R.; Baleanu, Dumitru; 56389
In this paper, the exact relationships between the averaging procedure of a smooth function over 1D-fractal sets and the fractional integral of the RL-type are found. The numerical verifications are realized for confirmation of the analytical results and the physical meaning of these obtained formulas is discussed. Besides, the generalizations of the results for a combination of fractal circuits having a discrete set of fractal dimensions were obtained. We suppose that these new results help to deeper understand the intimate links between fractals and fractional integrals of different types, especially in applications of the fractional operators in complex systems. These results can be used in different branches of the interdisciplinary physics, where the different equations describing the complex physical phenomena, and the fractional derivatives and integrals with complex-conjugated power-law exponents are used. We consider also possibilities of applications of these results in classical mechanics. Besides these exact results, in Section 3, we consider the difficulties that can arise in attempting to generalize them for 2D and 3D fractals. We suggest one approximate approach (tested numerically) that can solve these arising difficulties.