WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

Browse

Now showing 1 - 20 of 63

A new class of 2m-point binary non-stationary subdivision schemes
(Springer, 2019) Ghaffar, Abdul; Baleanu, Dumitru; Ullah, Zafar; Bari, Mehwish; Nisar, Kottakkaran Sooppy; Al-Qurashi, Maysaa M.; Baleanu, Dumitru; 56389
A new class of 2m-point non-stationary subdivision schemes (SSs) is presented, including some of their important properties, such as continuity, curvature, torsion monotonicity, and convexity preservation. The multivariate analysis of subdivision schemes is extended to a class of non-stationary schemes which are asymptotically equivalent to converging stationary or non-stationary schemes. A comparison between the proposed schemes, their stationary counterparts and some existing non-stationary schemes has been depicted through examples. It is observed that the proposed SSs give better approximation and more effective results.
A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying
(Springer, 2019) Kumar, Devendra; Baleanu, Dumitru; Singh, Jagdev; Al Qurashi, Maysaa; Baleanu, Dumitru; 56389
The present paper deals with a new fractional SIRS-SI model describing the transmission of malaria disease. The SIRS-SI malaria model is modified by using the Caputo-Fabrizio fractional operator for the inclusion of memory. We also suggest the utilization of vaccines, antimalarial medicines, and spraying for the treatment and control of the malaria disease. The theory of fixed point is utilized to examine the existence of the solution of a fractional SIRS-SI model describing spreading of malaria. The uniqueness of the solution of SIRS-SI model for malaria is also analyzed. It is shown that the treatments have great impact on the dynamical system of human and mosquito populations. The numerical simulation of fractional SIRS-SI malaria model is performed with the aid of HATM and Maple packages to show the effect of different parameters of the treatment of malaria disease. The numerical results for fractional SIRS-SI malaria model reveal that the recommended approach is very accurate and effective.
A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative
(Springer international Publishing Ag, 2017) Baleanu, Dumitru; Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram; 56389
We present a new method to investigate some fractional integro-differential equations involving the Caputo-Fabrizio derivation and we prove the existence of approximate solutions for these problems. We provide three examples to illustrate our main results. By checking those, one gets the possibility of using some discontinuous mappings as coefficients in the fractional integro-differential equations.
A reliable technique for fractional modified Boussinesq and approximate long wave equations
(Springeropen, 2019) Veeresha, P.; Baleanu, Dumitru; Prakasha, D. G.; Qurashi, M. A.; Baleanu, D.; 56389
In this paper, an efficient technique is employed to study the modified Boussinesq and approximate long wave equations of the Caputo fractional time derivative, namely the q-homotopy analysis transform method. These equations play a vital role in describing the properties of shallow water waves through distinct dispersion relation. The convergence analysis and error analysis are presented in the present investigation for the future scheme. We illustrate two examples to demonstrate the leverage and effectiveness of the proposed scheme, and the error analysis is discussed to verify the accuracy. The numerical simulation is conducted to ensure the exactness of the future technique. The obtained numerical and graphical results are presented, the proposed scheme is computationally very accurate and straightforward to study and find the solution for fractional coupled nonlinear complex phenomena arising in science and technology.
About fractional supersymmetric quantum mechanics
(inst Physics Acad Sci Czech Republic, 2005) Baleanu, D; Baleanu, Dumitru; Muslih, SI; 56389
Fractional Euler-Lagrange equations are investigated in the presence of Grassmann variables. The fractional Hamiltonian and the path integral of the fractional supersymmetric classical model are constructed.
About metafluid dynamics
(inst Physics Acad Sci Czech Republic, 2004) Baleanu, D; Baleanu, Dumitru; 56389
The analog of Maxwell electromagnetism for hydrodynamic turbulence, the metafluid dynamics, is investigated as a constrained system within fractional Riemann-Liouville derivatives.
Adopting Virtual Reality as a Medium for Software Development Process Education
(Assoc Computing Machinery, 2018) Güleç, Ulaş; Gulec, Ulas; Yilmaz, Murat; Yılmaz, Murat; Isler, Veysi; O'Connor, Rory, V; Clarke, Paul; 47439
Software development is a complex process of collaborative endeavour which requires hands-on experience starting from requirement analysis through to software testing and ultimately demands continuous maintenance so as to mitigate risks and uncertainty. Therefore, training experienced software practitioners is a challenging task. To address this gap, we propose an interactive virtual reality training environment for software practitioners to gain virtual experience based on the tasks of software development. The goal is to transport participants to a virtual software development organization where they experience simulated development process problems and conflicting situations, where they will interact virtually with distinctive personalities, roles and characters borrowed from real software development organizations. This PhD in progress paper investigates the literature and proposes a novel approach where participants can acquire important new process knowledge. Our preliminary observations suggest that a complementary VR-based training tool is likely to improve the experience of novice software developers and ultimately it has a great potential for training activities in software development organizations.
An investigation of hydrogen bonded neutral B4Hn (n=1-11) and anionic B4H11(-1) clusters: Density functional study
(Elsevier Science Bv, 2007) Boyukata, Mustafa; Özdoğan, Cem; Ozdogan, Cem; Guvenc, Ziya B.; 120207
In this study, detailed analysis of the structural stability of hydrogen bonded four-atom boron clusters within the framework of density functional theory (DFT) is presented. Effects of the number of hydrogen atoms on the structural stability of 134, binding energy of the clusters, and also on the boron-hydrogen binding energy are investigated. Attention is also paid to the determination of energetically the most stable geometries of B4Hn (n = 1-11) boron hydrides, and to their isomers. The lower-lying electronic states of the B4Hn structures are investigated. In addition natural electron configurations of the most stable clusters and charge transfer between the atoms in the cluster are also analyzed. Furthermore, the stability of anionic form of B4H11(-1) cluster is examined. (c) 2006 Elsevier B.V. All rights reserved.
Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations
(Springer, 2019) Shaikh, Amjad; Baleanu, Dumitru; Tassaddiq, Asifa; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru; 56389
This manuscript deals with fractional differential equations including Caputo-Fabrizio differential operator. The conditions for existence and uniqueness of solutions of fractional initial value problems is established using fixed point theorem and contraction principle, respectively. As an application, the iterative Laplace transform method (ILTM) is used to get an approximate solutions for nonlinear fractional reaction-diffusion equations, namely the Fitzhugh-Nagumo equation and the Fisher equation in the Caputo-Fabrizio sense. The obtained approximate solutions are compared with other available solutions from existing methods by using graphical representations and numerical computations. The results reveal that the proposed method is most suitable in terms of computational cost efficiency, and accuracy which can be applied to find solutions of nonlinear fractional reaction-diffusion equations.
Cittaslow movement from a critical point of view
(Kare Publ, 2018) Ozmen, Ayca; Özmen, Ayça; Can, Mehmet Cengiz; 143106
The Cittaslow Movement, shaped upon the idea of slowness, emerged as a reaction to the negative effects of globalization on small cities. It was founded in 1999 in Italy through initiatives implemented by the mayors of 4 small towns (Greve in Chianti, Orvieto, Positano, Bra) and the founder of Slow Food. This movement, which aims to increase the quality of life by preserving and sustaining the local values of settlements, was quickly embraced by more than 200 small cities and towns in 30 countries. However, Cittaslow is still relatively new and developing movement, and the long-term results are not yet fully known. Cittaslow provides practical guidelines for a more livable settlement, rather than relying on theoretical concerns. It emerged as a result of social reflection rather than scientific research. Therefore, concomitant problems may arise in the implementation process. Nevertheless, in the near future, the concept is expected to continue to grow socially and scientifically through the efforts of Cittaslow International to improve the movement and as a result of the increasing interest of researchers and local authorities. It is therefore important to understand and interpret the essence of the Cittaslow Movement properly at this time. The aim of this article was to provide a framework for the founding ideas and goals of the Cittaslow Movement and to describe its development and progress. The outcomes thus far were evaluated from a critical point of view in order to make new proposals. The goal of this research was to raise awareness of the Cittaslow Movement among all stakeholders, particularly local authorities and residents.
Computable solution of fractional kinetic equations using Mathieu-type series
(Springer, 2019) Khan, Owais; Baleanu, Dumitru; Khan, Nabiullah; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy; 56389
The Mathieu series appeared in the study of elasticity of solid bodies in the work of Emile Leonard Mathieu. Since then numerous authors have studied various problems arising from the Mathieu series in several diverse ways. In this line, our aim is to study the solution of fractional kinetic equations involving generalized Mathieu-type series. The generality of this series will help us to deduce results related to a fractional kinetic equation involving another form of Mathieu series. To obtain the solution, we use the Laplace transform technique. Besides, a graphical representation is given to observe the behavior of the obtained solutions.
Computation of Iterative Solutions Along With Stability Analysis to A Coupled System of Fractional Order Differential Equations
(Springeropen, 2019) Ali, Sajjad; Abdeljawad, Thabet; Abdeljawad, Thabet; Shah, Kamal; Jarad, Fahd; Arif, Muhammad; 234808
In this research article, we investigate sufficient results for the existence, uniqueness and stability analysis of iterative solutions to a coupled system of the nonlinear fractional differential equations (FDEs) with highier order boundary conditions. The foundation of these sufficient techniques is a combination of the scheme of lower and upper solutions together with the method of monotone iterative technique. With the help of the proposed procedure, the convergence criteria for extremal solutions are smoothly achieved. Furthermore, a major aspect is devoted to the investigation of Ulam-Hyers type stability analysis which is also established. For the verification of our work, we provide some suitable examples along with their graphical represntation and errors estimates.
Cosmological perturbations in FRW model with scalar field within Hamilton-Jacobi formalism and symplectic projector method
(Sciendo, 2006) Baleanu, Dumitru; Baleanu, Dumitru; 56389
The Hamilton-Jacobi analysis is applied to the dynamics of the scalar fluctuations about the Friedmann-Robertson-Walker (FRW) metric. The gauge conditions are determined from the consistency conditions. The physical degrees of freedom of the model are obtained by the symplectic projector method. The role of the linearly dependent Hamiltonians and the gauge variables in the Hamilton-Jacobi formalism is discussed. (c) Versita Warsaw and Springer-Verlag Berlin Heidelberg. All rights reserved.
Dark-bright optical solitary waves and modulation instability analysis with (2+1)-dimensional cubic-quintic nonlinear Schrodinger equation
(Taylor & Francis Ltd, 2019) Inc, Mustafa; Baleanu, Dumitru; Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru; 56389
This paper addresses the (2+1)-dimensional cubic-quintic nonlinear Schrodinger equation (CQNLS) that serves as the model to study the light propagation through nonlinear optical media and non-Kerr crystals. A dark-bright optical solitary wave solution of this equation is retrieved by adopting the complex envelope function ansatz. This type of solitary wave describes the properties of bright and dark optical solitary waves in the same expression. The integration naturally lead to a constraint condition placed on the solitary wave parameters which must hold for the solitary waves to exist. Additionally, the modulation instability (MI) analysis of the model is studied based on the standard linear stability analysis and the MI gain spectrum is got. Numerical simulation and physical interpretations of the obtained results are demonstrated. It is hoped that the results reported in this paper can enrich the nonlinear dynamical behaviors of the CQNLS.
Dispersive Optical Solitons and Modulation Instability Analysis of Schrodinger-Hirota Equation With Spatio-Temporal Dispersion and Kerr Law Nonlinearity
(Academic Press Ltd- Elsevier Science Ltd, 2018) Inc, Mustafa; Baleanu, Dumitru; Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru; 56389
This paper obtains the dark, bright, dark-bright or combined optical and singular solitons to the perturbed nonlinear Schrodinger-Hirota equation (SHE) with spatio-temporal dispersion (STD) and Kerr law nonlinearity in optical fibers. The integration algorithm is the Sine-Gordon equation method (SGEM). Furthermore, the modulation instability analysis (MI) of the equation is studied based on the standard linear-stability analysis and the MI gain spectrum is got. (C) 2017 Elsevier Ltd. All rights reserved.
Equations of motion for Einstein’s field in non-integer dimensional space
(inst Physics Acad Sci Czech Republic, 2006) Sadallah, Madhat; Baleanu, Dumitru; Muslih, Sami I.; Baleanu, Dumitru
Equations of motion for Einstein's field in fractional dimension of 4 spatial coordinates are obtained. It is shown that time dependent part of Einstein's wave function is single valued for only 4-integer dimensional space.
Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations
(Springer, 2019) Jarad, Fahd; Ali, Arshad; Shah, Kamal; Abdeljawad, Thabet; Jarad, Fahd; Gupta, Vidushi; Abdeljawad, Thabet; 234808
In this paper, we study a coupled system of implicit impulsive boundary value problems (IBVPs) of fractional differential equations (FODEs). We use the Schaefer fixed point and Banach contraction theorems to obtain conditions for the existence and uniqueness of positive solutions. We discuss Hyers-Ulam (HU) type stability of the concerned solutions and provide an example for illustration of the obtained results.
Extended cubic B-splines in the numerical solution of time fractional telegraph equation
(Springer, 2019) Akram, Tayyaba; Baleanu, Dumitru; Abbas, Muhammad; Ismail, Ahmad Izani; Ali, Norhashidah Hj M.; Baleanu, Dumitru; 56389
A finite difference scheme based on extended cubic B-spline method for the solution of time fractional telegraph equation is presented and discussed. The Caputo fractional formula is used in the discretization of the time fractional derivative. A combination of the Caputo fractional derivative together with an extended cubic B-spline is utilized to obtain the computed solutions. The proposed scheme is shown to possess the unconditional stability property with second order convergence. Numerical results demonstrate the applicability, simplicity and the strength of the scheme in solving the time fractional telegraph equation with accuracies very close to the exact solutions.
Family of odd point non-stationary subdivision schemes and their applications
(Springeropen, 2019) Ghaffar, Abdul; Baleanu, Dumitru; Ullah, Zafar; Bari, Mehwish; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru; 56389
The (2s-1)-point non-stationary binary subdivision schemes (SSs) for curve design are introduced for any integer s2. The Lagrange polynomials are used to construct a new family of schemes that can reproduce polynomials of degree (2s-2). The usefulness of the schemes is illustrated in the examples. Moreover, the new schemes are the non-stationary counterparts of the stationary schemes of (Daniel and Shunmugaraj in 3rd International Conference on Geometric Modeling and Imaging, pp.3-8, 2008; Hassan and Dodgson in Curve and Surface Fitting: Sant-Malo 2002, pp.199-208, 2003; Hormann and Sabin in Comput. Aided Geom. Des. 25:41-52, 2008; Mustafa et al. in Lobachevskii J. Math. 30(2):138-145, 2009; Siddiqi and Ahmad in Appl. Math. Lett. 20:707-711, 2007; Siddiqi and Rehan in Appl. Math. Comput. 216:970-982, 2010; Siddiqi and Rehan in Eur. J. Sci. Res. 32(4):553-561, 2009). Furthermore, it is concluded that the basic shapes in terms of limiting curves produced by the proposed schemes with fewer initial control points have less tendency to depart from their tangent as well as their osculating plane compared to the limiting curves produced by existing non-stationary subdivision schemes.
(Formula Presented) Algorithms In Tight-Binding Molecular-Dynamics Simulations of the Electronic Structure of Carbon Nanotubes
(American Physical Soc, 2003) Dereli, G; Özdoğan, Cem; Ozdogan, C; 40569
The O(N) and parallelization techniques have been successfully applied in tight-binding molecular-dynamics simulations of single-walled carbon nanotubes (SWNT's) of various chiralities. The accuracy of the O(N) description is found to be enhanced by the use of basis functions of neighboring atoms (buffer). The importance of buffer size in evaluating the simulation time, total energy, and force values together with electronic temperature has been shown. Finally, through the local density of state results, the metallic and semiconducting behavior of (10x10) armchair and (17x0) zigzag SWNT's, respectively, has been demonstrated.

Browse

Browsing WoS İndeksli Yayınlar Koleksiyonu by Scopus Q "N/A"