PubMed İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8650

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Now showing 1 - 19 of 19

Citation - WoS: 152
Citation - Scopus: 184
A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative
(Springer, 2020) Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram; 56389; Matematik
We present a fractional-order model for the COVID-19 transmission with Caputo-Fabrizio derivative. Using the homotopy analysis transform method (HATM), which combines the method of homotopy analysis and Laplace transform, we solve the problem and give approximate solution in convergent series. We prove the existence of a unique solution and the stability of the iteration approach by using fixed point theory. We also present numerical results to simulate virus transmission and compare the results with those of the Caputo derivative.
Citation - WoS: 10
Citation - Scopus: 15
A novel computational approach to approximate fuzzy interpolation polynomials
(Springer international Publishing Ag, 2016) Jafarian, Ahmad; Jafari, Raheleh; Al Qurashi, Maysaa Mohamed; Baleanu, Dumitru; 56389; Matematik
This paper build a structure of fuzzy neural network, which is well sufficient to gain a fuzzy interpolation polynomial of the form y(p) = a(n)x(p)(n) +... + a(1)x(p) + a(0) where a(j) is crisp number (for j = 0,..., n), which interpolates the fuzzy data (x(j), y(j)) (for j = 0,..., n). Thus, a gradient descent algorithm is constructed to train the neural network in such a way that the unknown coefficients of fuzzy polynomial are estimated by the neural network. The numeral experimentations portray that the present interpolation methodology is reliable and efficient.
Citation - WoS: 9
Citation - Scopus: 15
A serious game for improving the decision making skills and knowledge levels of Turkish football referees according to the laws of the game
(Springer international Publishing Ag, 2016) Gulec, Ulas; Yilmaz, Murat; 47439; Bilgisayar Mühendisliği; Yazılım Mühendisliği
Digital game-based learning environments provide emerging opportunities to overcome learning barriers by combining newly developed technologies and traditional game design. This study proposes a quantitative research approach supported by expert validation interviews to designing a game-based learning framework. The goal is to improve the learning experience and decision-making skills of soccer referees in Turkey. A serious game was developed and tested on a group of referees (N = 54). The assessment results of these referees were compared with two sample t-test and the Wilcoxon signed-ranked test for both the experimental group and the control group. The findings of the current study confirmed that a game-based learning environment has greater merit over the paper-based alternatives.
Citation - WoS: 28
Citation - Scopus: 35
Caputo SIR model for COVID-19 under optimized fractional order
(Springer, 2021) Alshomrani, Ali S.; Ullah, Malik Z.; Baleanu, Dumitru; 56389; Matematik
Everyone is talking about coronavirus from the last couple of months due to its exponential spread throughout the globe. Lives have become paralyzed, and as many as 180 countries have been so far affected with 928,287 (14 September 2020) deaths within a couple of months. Ironically, 29,185,779 are still active cases. Having seen such a drastic situation, a relatively simple epidemiological SIR model with Caputo derivative is suggested unlike more sophisticated models being proposed nowadays in the current literature. The major aim of the present research study is to look for possibilities and extents to which the SIR model fits the real data for the cases chosen from 1 April to 15 March 2020, Pakistan. To further analyze qualitative behavior of the Caputo SIR model, uniqueness conditions under the Banach contraction principle are discussed and stability analysis with basic reproduction number is investigated using Ulam-Hyers and its generalized version. The best parameters have been obtained via the nonlinear least-squares curve fitting technique. The infectious compartment of the Caputo SIR model fits the real data better than the classical version of the SIR model (Brauer et al. in Mathematical Models in Epidemiology 2019). Average absolute relative error under the Caputo operator is about 48% smaller than the one obtained in the classical case (nu=1). Time series and 3D contour plots offer social distancing to be the most effective measure to control the epidemic.
Citation - WoS: 46
Citation - Scopus: 38
Existence of solution and stability for the fractional order novel coronavirus (nCoV-2019) model
(Springer, 2020) Hussain, Azhar; Baleanu, Dumitru; Adeel, Muhammad; 56389; Matematik
The aim of this work is to present a new fractional order model of novel coronavirus (nCoV-2019) under Caputo-Fabrizio derivative. We make use of fixed point theory and Picard-Lindelof technique to explore the existence and uniqueness of solution for the proposed model. Moreover, we explore the generalized Hyers-Ulam stability of the model using Gronwall's inequality.
Citation - WoS: 15
Citation - Scopus: 26
Fractional calculus and application of generalized Struve function
(Springer int Publ Ag, 2016) Nisar, Kottakkaran Sooppy; Baleanu, Dumitru; Al Qurashi, Maysaa' Mohamed; 56389; Matematik
A new generalization of Struve function called generalized Galue type Struve function (GTSF) is defined and the integral operators involving Appell's functions, or Horn's function in the kernel is applied on it. The obtained results are expressed in terms of the Fox-Wright function. As an application of newly defined generalized GTSF, we aim at presenting solutions of certain general families of fractional kinetic equations associated with the Galue type generalization of Struve function. The generality of the GTSF will help to find several familiar and novel fractional kinetic equations. The obtained results are general in nature and it is useful to investigate many problems in applied mathematical science.
Citation - WoS: 28
Citation - Scopus: 32
Fractional unit-root tests allowing for a fractional frequency flexible Fourier form trend: predictability of Covid-19
(Springer, 2021) Omay, Tolga; Baleanu, Dumitru; 56389; Çankaya Meslek Yüksekokulu; Matematik
In this study we propose a fractional frequency flexible Fourier form fractionally integrated ADF unit-root test, which combines the fractional integration and nonlinear trend as a form of the Fourier function. We provide the asymptotics of the newly proposed test and investigate its small-sample properties. Moreover, we show the best estimators for both fractional frequency and fractional difference operator for our newly proposed test. Finally, an empirical study demonstrates that not considering the structural break and fractional integration simultaneously in the testing process may lead to misleading results about the stochastic behavior of the Covid-19 pandemic.
Citation - WoS: 1
Citation - Scopus: 2
Higher-dimensional physical models with multimemory indices: analytic solution and convergence analysis
(Springer, 2020) Jaradat, Imad; Alquran, Marwan; Abdel-Muhsen, Ruwa; Momani, Shaher; Baleanu, Dumitru; 56389; Matematik
The purpose of this work is to analytically simulate the mutual impact for the existence of both temporal and spatial Caputo fractional derivative parameters in higher-dimensional physical models. For this purpose, we employ the gamma_-Maclaurin series along with an amendment of the power series technique. To supplement our idea, we present the necessary convergence analysis regarding the gamma_-Maclaurin series. As for the application side, we solved versions of the higher-dimensional heat and wave models with spatial and temporal Caputo fractional derivatives in terms of a rapidly convergent gamma_-Maclaurin series. The method performed extremely well, and the projections of the obtained solutions into the integer space are compatible with solutions available in the literature. Finally, the graphical analysis showed a possibility that the Caputo fractional derivatives reflect some memory characteristics.
Citation - WoS: 3
Identification of Circulating Tumor Cells Using Plasmonic Resonance Effect: Lab-on-a- Chip Analysis and Modelling
(Amer Scientific Publishers, 2020) Salmanogli, Ahmad; Gokcen, Dincer; 280089
Circulating tumor cells are widely used as biomarkers of cancer. Although early detection of these cells is vital for diagnosis and prognosis of deadly cancer, it is still a challenging issue due to the complex matrix of blood and their low presence in the bloodstream. In the present study, we propose a micro-channeled lab-on-a-chip system using two distinct methods based upon dielectrophoretic force and electrical properties of cells to increase the cell detection capability and identification efficiency and accuracy. The dielectric properties of cells contribute to the difference between negatively charged residues on the cell surface. Firstly, the dielectrophoretic force is used to separate background cells; then, the proposed high-accuracy identification method is used to better examine and study the unidentified cells. In the next phase, by amplification of the current of the unidentified cells flowing through the nanoparticle plasmonic resonance effects, the microfluidics output efficiency is significantly improved. As a result, highly accurate cell identification is achieved by taking advantage of the nanoparticle plasmonic properties. Overall, nanoparticle scattering in the plasmonic resonance condition, as well as their plasmonic hybridization, can improve output signal-to-noise ratio.
Citation - WoS: 13
Citation - Scopus: 17
Modeling the transmission dynamics of delayed pneumonia-like diseases with a sensitivity of parameters
(Springer, 2021) Naveed, Muhammad; Baleanu, Dumitru; Raza, Ali; Rafiq, Muhammad; Soori, Atif Hassan; Mohsin, Muhammad; 56389; Matematik
Pneumonia is a highly transmitted disease in children. According to the World Health Organization (WHO), the most affected regions include South Asia and sub-Saharan Africa. 15% deaths of children are due to pneumonia. In 2017, 0.88 million children were killed under the age of five years. An analysis of pneumonia disease is performed with the help of a delayed mathematical modelling technique. The epidemiological system contemplates subpopulations of susceptible, carriers, infected and recovered individuals, along with nonlinear interactions between the members of those subpopulations. The positivity and the boundedness of the ongoing problem for nonnegative initial data are thoroughly proved. The system possesses pneumonia-free and pneumonia existing equilibrium points, whose stability is studied rigorously. Moreover, the numerical simulations confirm the validity of these theoretical results.
Citation - WoS: 21
Citation - Scopus: 25
Multicriteria Decision-Making Approach for Aggregation Operators of Pythagorean Fuzzy Hypersoft Sets
(Hindawi Ltd, 2021) Siddique, Imran; Zulqarnain, Rana Muhammad; Ali, Rifaqat; Jarad, Fahd; Iampan, Aiyared; 234808; Matematik
The Pythagorean fuzzy hypersoft set (PFHSS) is the most advanced extension of the intuitionistic fuzzy hypersoft set (IFHSS) and a suitable extension of the Pythagorean fuzzy soft set. In it, we discuss the parameterized family that contracts with the multi-subattributes of the parameters. The PFHSS is used to correctly assess insufficiencies, anxiety, and hesitancy in decision-making (DM). It is the most substantial notion for relating fuzzy data in the DM procedure, which can accommodate more uncertainty compared to available techniques considering membership and nonmembership values of each subattribute of given parameters. In this paper, we will present the operational laws for Pythagorean fuzzy hypersoft numbers (PFHSNs) and also some fundamental properties such as idempotency, boundedness, shift-invariance, and homogeneity for Pythagorean fuzzy hypersoft weighted average (PFHSWA) and Pythagorean fuzzy hypersoft weighted geometric (PFHSWG) operators. Furthermore, a novel multicriteria decision-making (MCDM) approach has been established utilizing presented aggregation operators (AOs) to resolve decision-making complications. To validate the useability and pragmatism of the settled technique, a brief comparative analysis has been conducted with some existing approaches.
Citation - WoS: 30
Citation - Scopus: 37
Numerical Simulation of MHD Couette Flow of a Fuzzy Nanofluid through an Inclined Channel with Thermal Radiation Effect
(Hindawi Ltd, 2021) Siddique, Imran; Zulqarnain, Rana Muhammad; Nadeem, Muhammad; Jarad, Fahd; 234808; Matematik
The present study especially concerns the investigation of the Couette flow and heat transfer with thermal radiation through an inclined channel. Single-wall carbon nanotube (SWCNT) and multiple-wall carbon nanotube (MWCNT) are nanoparticles embedded in the host fluid. The dimensionless highly nonlinear differential equations (DEs) are solved via numerical scheme bvp4c. The effects of the physical parameters on heat transfer are presented in the form of graphs. The results demonstrate that the heat transfer is enhanced by using solid particle frictions (SWCNT and MWCNT). The large estimation of a magnetic parameter declines the velocity component. The current and existing results with their comparisons are shown in the tabular form for the validation of our code. The current results are in good agreement with their existing results. Generally, fuzziness or uncertainty is inherent in modeling, analysis, and experimentation. Due to the uncertain environmental conditions, fuzziness broadly exists in various engineering heat transfer problems. In this work, the nanoparticles' volume fraction of the SWCNT and MWCNT is taken as uncertain parameters in terms of triangular fuzzy numbers (TFNs). The TFNs are controlled by the alpha-cut which has less computational effort for analyzing the fuzziness or uncertainties. Also, a comparison between the SWCNT and MWCNT through the membership function and the variability of the uncertainty is studied.
Citation - WoS: 16
Citation - Scopus: 19
On the optimal control of coronavirus (2019-nCov) mathematical model; a numerical approach
(Springer, 2020) Sweilam, N. H.; Al-Mekhlafi, S. M.; Albalawi, A. O.; Baleanu, D.; 56389; Matematik
In this paper, a novel coronavirus (2019-nCov) mathematical model with modified parameters is presented. This model consists of six nonlinear fractional order differential equations. Optimal control of the suggested model is the main objective of this work. Two control variables are presented in this model to minimize the population number of infected and asymptotically infected people. Necessary optimality conditions are derived. The Grunwald-Letnikov nonstandard weighted average finite difference method is constructed for simulating the proposed optimal control system. The stability of the proposed method is proved. In order to validate the theoretical results, numerical simulations and comparative studies are given.
Citation - WoS: 58
Citation - Scopus: 63
On two fractional differential inclusions
(Springer international Publishing Ag, 2016) Baleanu, Dumitru; Hedayati, Vahid; Rezapour, Shahram; Al Qurashi, Maysaa' Mohamed; 56389; Matematik
We investigate in this manuscript the existence of solution for two fractional differential inclusions. At first we discuss the existence of solution of a class of fractional hybrid differential inclusions. To illustrate our results we present an illustrative example. We study the existence and dimension of the solution set for some fractional differential inclusions.
Citation - WoS: 32
Citation - Scopus: 39
Relationships of Internet addiction and Internet gaming disorder symptom severities with probable attention deficit/hyperactivity disorder, aggression and negative affect among university students
(Springer Wien, 2019) Evren, Cuneyt; Evren, Bilge; Dalbudak, Ercan; Topcu, Merve; Kutlu, Nilay; 256656
The aim of the present study was to evaluate relationships of Internet addiction (IA) and Internet gaming disorder (IGD) symptom severities with probable attention deficit/hyperactivity disorder (ADHD) and aggression among university students, while controlling the effects of anxiety and depressive symptoms. The study was conducted with online survey among 1509 volunteered university students in Ankara who regularly use the Internet, among whom we conducted analyses related with IA. Among these students, 987 of them, who play video games, were included in the analyses related with IGD. Correlation analyses revealed that the severities of the scale scores were mildly correlated with each other both among students who regularly use the Internet and students who play video games. Probable ADHD was associated with the severity of IA symptoms, together with depression and aggression, particularly physical aggression and hostility, in ANCOVA analyses. Similarly probable ADHD was also associated with the severity of IGD symptoms, together with depression and aggression, particularly physical aggression, anger and hostility, in ANCOVA analyses. These findings suggest that the presence of probable ADHD is related with both severity of IA and IGD symptoms, together with aggression and depression.
Citation - WoS: 23
Citation - Scopus: 29
Study of Triangular Fuzzy Hybrid Nanofluids on the Natural Convection Flow and Heat Transfer between Two Vertical Plates
(Hindawi Ltd, 2021) Nadeem, Muhammad; Elmoasry, Ahmed; Siddique, Imran; Jarad, Fahd; Zulqarnain, Rana Muhammad; Alebraheem, Jawdat; Elazab, Naseer S.; 234808; Matematik
The prime objective of the current study is to examine the effects of third-grade hybrid nanofluid with natural convection utilizing the ferro-particle Fe(3)O(4)and titanium dioxide TiO2 and sodium alginate (SA) as a host fluid, flowing through vertical parallel plates, under the fuzzy atmosphere. The dimensionless highly nonlinear coupled ordinary differential equations are computed adopting the bvp4c numerical approach. This is an extremely effective technique with a low computational cost. For validation, it is found that as the volume fraction of Fe3O4+TiO2 hybrid nanoparticles rises, so does the heat transfer rate. The current and existing results with their comparisons are shown in the form of the tables. The present findings are in good agreement with their previous numerical and analytical results in a crisp atmosphere. The nanoparticles volume fraction of Fe(3)O(4 & nbsp;)and TiO2 is taken as uncertain parameters in terms of triangular fuzzy numbers (TFNs) [0, 0.05, 0.1]. The TFNs are controlled by a-cut and the variability of the uncertainty is studied through triangular membership function (MF).
Citation - WoS: 38
Citation - Scopus: 43
The mean value theorem and Taylor's theorem for fractional derivatives with Mittag-Leffler kernel
(Pushpa Publishing House, 2018) Fernandez, Arran; Baleanu, Dumitru; 56389; Matematik
We establish analogues of the mean value theorem and Taylor's theorem for fractional differential operators defined using a Mittag-Leffler kernel. We formulate a new model for the fractional Boussinesq equation by using this new Taylor series expansion.
Citation - WoS: 28
Citation - Scopus: 33
Two new spectrophotometric approaches to the multicomponent analysis of the acetaminophen and caffeine in tablets by classical least-squares and principal component regression techniques
(Elsevier Science Sa, 2002) Dinç, E; Baleanu, D; 56389; Matematik
Classical least-squares (CLS) and principal. component regression (PCR) techniques were proposed for the simultaneous analysis of tablets containing acetaminophen and caffeine without using a chemical separation procedure. The chemometric calibrations were prepared by measuring the absorbances values at the 15 wavelengths in the spectral region 215-285 nm and by using a training set of the mixtures of both drugs in 0.1 M HCl. The obtained chemometric calibrations were used for the estimation of acetaminophen and caffeine in samples. The numerical calculations were performed with the 'MAPLE V' software. By applying two techniques to synthetic mixtures, the mean recoveries and the relative standard deviations in the CLS and PCR techniques were found as 99.5 and 1.29, 99.7 and 1.00% for acetaminophen and 99.9 and 1.92, 100.0 and 1.178% for caffeine, respectively. Our results were compared with those obtained previously by one of us considering HPLC method as a reference method. These two methods were successfully applied to a pharmaceutical tablet formulation of two drugs. (C) 2002 Elsevier Science S.A. All rights reserved.
Citation - Scopus: 11
Wavelet analysis for the multicomponent determination in a binary mixture of caffeine and propyphenazone in tablets
(Elsevier Masson SAS, 2004) Dinç, E.; Baleanu, D.; Aboul-Enein, H.Y.; 56389; Matematik
An approach based on both discrete and continuous wavelet analysis followed by a zero-crossing technique was developed. We applied this approach to obtain a high resolution in the binary mixture of caffeine (CA) and propyphenazone (PR) in the presence of their overlapping signals in the working length. The optimization of the wavelet families was accomplished for this mixture. The de-noise procedure was carried out by using 4-level Haar discrete wavelet transform and the resulted de-noised signal was investigated by continuous Mexican (MEX) and Haar (HA) transforms. Finally, a zero-crossing technique was applied on the transformed signal and the constructed calibration was tested by analyzing the composition of the different mixture containing CA and PR. All calculations have been performed within EXCEL and Matlab 6.5 software. The obtained results indicate that our procedure is flexible and applicable for the mixture analysis. © 2004 Elsevier SAS. All rights reserved.

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