Akademik Çıktılar

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A 3D virtual environment for training soccer referees
(Elsevier Science Bv, 2019) Güleç, Ulaş; Gulec, Ulas; Yilmaz, Murat; Yılmaz, Murat; Isler, Veysi; O'Connor, Rory V.; Clarke, Paul M.; 47439
Emerging digital technologies are being used in many ways by and in particular virtual environments provide new opportunities to gain experience on real-world phenomena without having to live the actual real-world experiences. In this study, a quantitative research approach supported by expert validation interviews was conducted to determine the availability of virtual environments in the training of soccer referees. The aim is to design a virtual environment for training purposes, representing a real-life soccer stadium to allow the referees to manage matches in an atmosphere similar to the real stadium atmosphere. At this point, the referees have a chance to reduce the number of errors that they make in real life by experiencing difficult decisions that they encounter during the actual match via using the virtual stadium. In addition, the decisions and reactions of the referees during the virtual match were observed with the number of different fans in the virtual stadium to understand whether the virtual stadium created a real stadium atmosphere for the referees. For this evaluation, Presence Questionnaire (PQ) and Immersive Tendencies Questionnaire (ITQ) were applied to the referees to measure their involvement levels. In addition, a semi-structure interview technique was utilized in order to understand participants' opinions about the system. These interviews show that the referees have a positive attitude towards the system since they can experience the events occurred in the match as a first person instead of watching them from camera as a third person. The findings of current study suggest that virtual environments can be used as a training tool to increase the experience levels of the soccer referees since they have an opportunity to decide about the positions without facing the real-world risks.
A dispassionate view of seismic-hazard assessment
(Seismological Soc Amer, 2013) Gulkan, Polat; 5743
A linearization-based approach of homotopy analysis method for non-linear time-fractional parabolic PDEs
(Wiley, 2019) Odibat, Zaid; Baleanu, Dumitru; Baleanu, Dumitru; 56389
In this paper, a novel approach, namely, the linearization-based approach of homotopy analysis method, to analytically treat non-linear time-fractional PDEs is proposed. The presented approach suggests a new optimized structure of the homotopy series solution based on a linear approximation of the non-linear problem. A comparative study between the proposed approach and standard homotopy analysis approach is illustrated by solving two examples involving non-linear time-fractional parabolic PDEs. The performed numerical simulations demonstrate that the linearization-based approach reduces the computational complexity and improves the performance of the homotopy analysis method.
A Modification Fractional Homotopy Perturbation Method for Solving Helmholtz and Coupled Helmholtz Equations on Cantor Sets
(Mdpi, 2019) Baleanu, Dumitru; Baleanu, Dumitru; Jassim, Hassan Kamil; 56389
In this paper, we apply a new technique, namely, the local fractional Laplace homotopy perturbation method (LFLHPM), on Helmholtz and coupled Helmholtz equations to obtain analytical approximate solutions. The iteration procedure is based on local fractional derivative operators (LFDOs). This method is a combination of the local fractional Laplace transform (LFLT) and the homotopy perturbation method (HPM). The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the new technique.
A modified variational iteration method for solving fractional riccati differential equation by Adomian polynomials
(Walter de Gruyter Gmbh, 2013) Jafari, Hossein; Baleanu, Dumitru; Tajadodi, Hale; Baleanu, Dumitru; 56389
In this paper, we introduce a modified variational iteration method (MVIM) for solving Riccati differential equations. Also the fractional Riccati differential equation is solved by variational iteration method with considering Adomians polynomials for nonlinear terms. The main advantage of the MVIM is that it can enlarge the convergence region of iterative approximate solutions. Hence, the solutions obtained using the MVIM give good approximations for a larger interval. The numerical results show that the method is simple and effective.
A New Approach for Solving Multi Variable Orders Differential Equations With Mittag–Leffler Kernel
(Pergamon-elsevier Science Ltd, 2020) Ganji, R. M.; Baleanu, Dumitru; Jafari, H.; Baleanu, D.; 56389
In this paper we consider multi variable orders differential equations (MVODEs) with non-local and no-singular kernel. The derivative is described in Atangana and Baleanu sense of variable order. We use the fifth-kind Chebyshev polynomials as basic functions to obtain operational matrices. We transfer the original equations to a system of algebraic equations using operational matrices and collocation method. The convergence analysis of the presented method is discussed. Few examples are presented to show the efficiency of the presented method. (C) 2019 Elsevier Ltd. All rights reserved.
A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws
(Pergamon-elsevier Science Ltd, 2019) Kumar, Devendra; Baleanu, Dumitru; Singh, Jagdev; Tanwar, Kumud; Baleanu, Dumitru; 56389
The present article deals with the exothermic reactions model having constant heat source in the porous media with strong memory effects. The Caputo, Caputo-Fabrizio and Atangana-Baleanu fractional operators are used to induce memory effects in the mathematical modeling of exothermic reactions. The patterns of heat flow profiles are very essential for heat transfer in every kind of the thermal insulation. In the present investigation, we focus on the driving force problem due to the fact that temperature gradient is assumed. The mathematical equation of the problem is confined in a fractional energy balance equation (FEBE), which furnishes the temperature portrayal in conduction state having uniform heat source on steady state. The fractional Laplace decomposition technique is utilized to obtain the numerical solution of the corresponding FEBE describing the exothermic reactions. Some numerical results for the fractional exothermic reactions model are presented through graphs and tables. (C) 2019 Elsevier Ltd. All rights reserved.
A new fractional modelling and control strategy for the outbreak of dengue fever
(Elsevier, 2019) Jajarmi, Amin; Baleanu, Dumitru; Arshad, Sadia; Baleanu, Dumitru; 56389
This paper deals with a new mathematical model for a dengue fever outbreak based on a system of fractional differential equations. The equilibrium points and stability of the new system are studied. To simulate this model, a new and efficient numerical method is provided and its stability and convergence are proved. According to a real outbreak on the Cape Verde Islands occurred in year 2009, the new model is examined for a period of three months by using singular or nonsingular kernels in the definition of derivative operator. Simulation results show that the proposed formalism with exponential kernel agrees well with the real data in the early stage of the epidemic while the Mittag-Leffler kernel fits the reality for the later part of the time interval. Hence, the new framework in a hybrid manner can properly simulate the dynamics of the disease in the whole of the time interval. In order to stabilize the disease-free equilibrium point of the system under investigation, two control strategies are suggested. Numerical simulations verify that the proposed stabilizing controllers are efficient and provide significantly remarkable results. (C) 2019 Elsevier B.V. All rights reserved.
A new fractional wavelet approach for the simultaneous determination of ampicillin sodium and sulbactam sodium in a binary mixture
(Pergamon-elsevier Science Ltd, 2006) Dinç, E; Baleanu, Dumitru; Baleanu, DB; 6981
A new application of the fractional wavelet transform (FWT) was proposed for the simultaneous determination of ampicillin (AP) and sulbactam (SB) in a pharmaceutical combination for injection. FWT approach is a new powerful tool for removing noise and irrelevant information from the absorption spectra. Cardinal information having higher peak amplitude, eliminated noise, sharp peaks with shrinking width of spectral range was obtained by the application of FWT procedure to the original absorption spectra. In this paper, FWT approach was subjected to the data vector of the UV-signals obtained from AP and SB in the wavelength range of 211.5-313.8 nm. Derivative transform was applied to the original absorption signal together with its FWT generalization. The calibration graphs for AP and SB were obtained by measuring the FWT and usual derivative amplitudes at zero-crossing points. The method validation was carried out by using the synthetic mixture analysis. Our proposed FWT approach was compared with the usual derivative spectrophotometry and chemometric methods (CLS, PCR and PLS) and a good agreement was reported. (c) 2005 Elsevier B.V. All rights reserved.
A New Hybrid Algorithm for Continuous Optimization Problem
(Elsevier Science inc, 2018) Farnad, Behnam; Baleanu, Dumitru; Jafarian, Ahmad; Baleanu, Dumitru; 56389
This paper applies a new hybrid method by a combination of three population base algorithms such as Genetic Algorithm (GA), Particle Swarm Optimization (PSO) and Symbiotic Organisms Search (SOS). The proposed method has been inspired from natural selection process and it completes this process in GA by using the PSO and SOS. It tends to minimize the execution time and in addition to reduce the complexity. Symbiotic organisms search is a robust and powerful metaheuristic algorithm which has attracted increasing attention in recent decades. There are three alternative phases in the proposed algorithm: GA, which develops and selects best population for the next phases, PSO, which gets experiences for each appropriate solution and updates them as well and SOS, which benefits from previous phases and performs symbiotic interaction update phases in the real-world population. The proposed algorithm was tested on the set of best known unimodal and multimodal benchmark functions in various dimensions. It has further been evaluated in, the experiment on the clustering of benchmark datasets. The obtained results from basic and non-parametric statistical tests confirmed that this hybrid method dominates in terms of convergence, execution time, success rate. It optimizes the high dimensional and complex functions Rosenbrock and Griewank up to 10(-330) accuracy in less than 3 s, outperforming other known algorithms. It had also applied clustering datasets with minimum intra-cluster distance and error rate. (C) 2017 Elsevier Inc. All rights reserved.
A New Numerical Algorithm For Fractional Fitzhugh-Nagumo Equation Arising in Transmission of Nerve Impulses
(Springer, 2018) Kumar, Devendra; Baleanu, Dumitru; Singh, Jagdev; Baleanu, Dumitru; 56389
The principal objective of this study is to present a new numerical scheme based on a combination of q-homotopy analysis approach and Laplace transform approach to examine the Fitzhugh-Nagumo (F-N) equation of fractional order. The F-N equation describes the transmission of nerve impulses. In order to handle the nonlinear terms, the homotopy polynomials are employed. To validate the results derived by employing the used scheme, we study the F-N equation of arbitrary order by using the fractional reduced differential transform scheme. The error analysis of the proposed approach is also discussed. The outcomes are shown through the graphs and tables that elucidate that the used schemes are very fantastic and accurate.
A new quadrature routine for improper and oscillatory integrals
(Elsevier Science inc, 2007) Sermutlu, E.; Sermutlu, Emre; Eyyuboglu, H. T.; 17647; 7688
In MATLAB environment, a new quadrature routine based on Gaussian quadrature rule has been developed. Its performance is evaluated for improper integrals, rapidly oscillating functions and other types of functions requiring a. large number of evaluations. This performance is compared against the other quadrature routines written for MATLAB in terms of capability, accuracy and computation time. It is found that our routine rates quite favourably. (c) 2006 Elsevier Inc. All rights reserved.
A note on (p, q)-analogue type of Fubini numbers and polynomials
(Amer inst Mathematical Sciences-aims, 2020) Khan, Waseem Ahmad; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru; 56389
In this paper, we introduce a new class of (p, q)-analogue type of Fubini numbers and polynomials and investigate some properties of these polynomials. We establish summation formulas of these polynomials by summation techniques series. Furthermore, we consider some relationships for (p, q)-Fubini polynomials associated with (p, q)-Bernoulli polynomials, (p, q)-Euler polynomials and (p, q)-Genocchi polynomials and (p, q)-Stirling numbers of the second kind.
A Novel Approach for Korteweg-de Vries Equation of Fractional Order
(Shahid Chamran Univ Ahvaz, Iran, 2019) Jassim, Hassan Kamil; Baleanu, Dumitru; Baleanu, Dumitru; 56389
In this study, the local fractional variational iteration method (LFVIM) and the local fractional series expansion method (LFSEM) are utilized to obtain approximate solutions for Korteweg-de Vries equation (KdVE) within local fractional derivative operators (LFDOs). The efficiency of the considered methods is illustrated by some examples. The results reveal that the suggested algorithms are very effective and simple and can be applied for linear and nonlinear problems in mathematical physics.
A novel approach for renovation of current social housing stock based on energy consumption in Turkey: significance of occupant behaviour
(Taylor & Francis Ltd, 2019) Harputlugil, Guelsu Ulukavak; Harputlugil, Timuçin; Harputlugil, Timucin; Pedergnana, Matthieu; Sarioglu, Esra; 26110; 40295
The goal of this research is to attempt establishing occupant behaviour profiles and how that behaviour impacts energy consumption with regard to indoor comfort levels in the current social housing stock in Turkey. The data consists of a large statistical survey that included four housing complexes situated in different climate regions in Turkey. Another more detailed survey was given to occupants of housing blocks in Ankara. Apartments were also monitored during a one-week period in summer and again in winter. All collected data were evaluated by sensitivity analysis. The results showed that occupant presence at home and operating windows had the most profound effect on internal loads and comfort levels whole year. Additionally, the transparency level of curtains, impacts the indoor temperature during the winter time. The results were used to develop a web-based tool which is going to be a guide for renovation strategies of current housing stock.
A Novel Shuffling Technique Based on Fractional Chaotic Maps
(Elsevier Gmbh, 2018) Bai, Yun-Ru; Baleanu, Dumitru; Baleanu, Dumitru; Wu, Guo-Cheng; 56389
An image encryption technique based on the fractional logistic map is designed in this work. A novel shuffling technique is established by use of fractional chaotic signals. Then it is used to scramble pixel positions. The results are analyzed in comparison with the classical logistic map. Since the employed fractional chaotic map holds complicated dynamics behavior, the encryption result is highly secure. Moreover, by experimental and statistical analysis, we demonstrate that the encryption performance is better than the results in literature. (C) 2018 Published by Elsevier GmbH.
A practical approach to performance-based building design in architectural project
(Routledge Journals, Taylor & Francis Ltd, 2020) Sayin, Selcuk; Celebi, Gulser
The aim of this study is to develop an approach that can enhance and contribute to the practical applicability of performance-based building design in architectural projects. The need for such an approach is based on the current lack of a practical application for performance-based design in architectural projects, despite the numerous studies conducted in this regard to date. The approach has been applied in a commercial building project designed by an architectural firm in Konya. The performance evaluation of the design developed in accordance with the requirements of the client/builder and the restrictions of regulations was carried out using IES VE 2014 software at a specific phase of the design process. Through this building performance simulation tool; the thermal protection of the envelope/heat loss and solar gain, thermal comfort (temperature, humidity), air quality (freshness), daylight and glare levels were evaluated for the selected spaces in the building, and following the evaluation, new design proposals were put forward to improve the design so as to meet the performance goal.
A Reliable Mixed Method for Singular Integro-Differential Equations of Non-Integer Order
(Edp Sciences S A, 2018) Baleanu, Dumitru; Baleanu, Dumitru; Darzi, Rahmat; Agheli, Ahram; 56389
It is our goal in this article to apply a method which is based on the assumption that combines two methods of conjugating collocation and multiple shooting method. The proposed method can be used to find the numerical solution of singular fractional integro-differential boundary value problems (SFIBVPs) D-upsilon y(t) + eta integral(t)(0) (t - s)(zeta-1) y(s) ds = g(t), 1 < upsilon <= 2, 0 < zeta < 1, eta is an element of R, where D-upsilon denotes the Caputo derivative of order upsilon. Meanwhile, in a separate section the existence and uniqueness of this method is also discussed. Two examples are presented to illustrate the application and further understanding of the methods.
A Singular Abc-Fractional Differential Equation With P-Laplacian Operator
(Pergamon-elsevier Science Ltd, 2019) Jarad, Fahd; Khan, Hasib; Jarad, Fahd; Abdeljawad, Thabet; Abdeljawad, Thabet; Khan, Aziz; 234808
In this article, we have focused on the existence and uniqueness of solutions and Hyers-Ulam stability for ABC-fractional DEs with p-Laplacian operator involving spatial singularity. The existence and uniqueness of solutions are derived with the help of the well-known Guo-Krasnoselskii theorem. Our work is a continuation of the study carried out in the recently published article " Chaos Solitons & Fractals. 2018;117:16-20." To manifest the results, we include an example with specific parameters and assumptions. (C) 2019 Elsevier Ltd. All rights reserved.
A uniqueness criterion for fractional differential equations with Caputo derivative
(Springer, 2013) Baleanu, Dumitru; Baleanu, Dumitru; Mustafa, Octavian G.; O'Regan, Donal
We investigate the uniqueness of solutions to an initial value problem associated with a nonlinear fractional differential equation of order alpha a(0,1). The differential operator is of Caputo type whereas the nonlinearity cannot be expressed as a Lipschitz function. Instead, the Riemann-Liouville derivative of this nonlinearity verifies a special inequality.

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