Akademik Çıktılar

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A Fourth Order Non-Polynomial Quintic Spline Collocation Technique for Solving Time Fractional Superdiffusion Equations
(Springer, 2019) Amin, Muhammad; Baleanu, Dumitru; Abbas, Muhammad; Iqbal, Muhammad Kashif; Ismail, Ahmad Izani Md.; Baleanu, Dumitru; 56389
The purpose of this article is to present a technique for the numerical solution of Caputo time fractional superdiffusion equation. The central difference approximation is used to discretize the time derivative, while non-polynomial quintic spline is employed as an interpolating function in the spatial direction. The proposed method is shown to be unconditionally stable and O(h(4) + Delta t(2)) accurate. In order to check the feasibility of the proposed technique, some test examples have been considered and the simulation results are compared with those available in the existing literature.
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 Novel Design of Two Loosely Coupled Bandpass Filter Based On Hilbert-Zz Resonator With Higher Harmonic Suppression
(Ieee, 2013) Mezaal, Yaqeen S.; Eyyuboglu, Halil T.; Ali, Jawad K.; 7688
New characteristics of fractal design scheme has been introduced to generate compact two poles capacitively coupled microstrip bandpass filter by using additional coupling stubs for different wireless applications. The presented fractal scheme is based on specific type of Hilbert space-filling curve which is called Hilbert-zz fractal geometry. The performance of generated bandpass filter structure has been analyzed using Sonnet software package with a relative dielectric constant of 9 and a substrate thickness of 1.27 mm. Results show that these filters possess good transmission and return loss characteristics, besides higher harmonics suppressions; meeting the specifications of most of wireless communication systems.
A Novel Method for the Analytical Solution of Fractional Zakharov–Kuznetsov Equations
(Springer, 2019) Shah, Rasool; Baleanu, Dumitru; Khan, Hassan; Baleanu, Dumitru; Kumam, Poom; Arif, Muhammad; 56389
In this article, an efficient analytical technique, called Laplace-Adomian decomposition method, is used to obtain the solution of fractional Zakharov- Kuznetsov equations. The fractional derivatives are described in terms of Caputo sense. The solution of the suggested technique is represented in a series form of Adomian components, which is convergent to the exact solution of the given problems. Furthermore, the results of the present method have shown close relations with the exact approaches of the investigated problems. Illustrative examples are discussed, showing the validity of the current method. The attractive and straightforward procedure of the present method suggests that this method can easily be extended for the solutions of other nonlinear fractional-order partial differential equations.
A numerical algorithm based on modified extended B-spline functions for solving time-fractional diffusion wave equation involving reaction and damping terms
(Springer, 2019) Khalid, Nauman; Baleanu, Dumitru; Abbas, Muhammad; Iqbal, Muhammad Kashif; Baleanu, Dumitru; 56389
In this study, we have proposed an efficient numerical algorithm based on third degree modified extended B-spline (EBS) functions for solving time-fractional diffusion wave equation with reaction and damping terms. The Caputo time-fractional derivative has been approximated by means of usual finite difference scheme and the modified EBS functions are used for spatial discretization. The stability analysis and derivation of theoretical convergence validates the authenticity and effectiveness of the proposed algorithm. The numerical experiments show that the computational outcomes are in line with the theoretical expectations. Moreover, the numerical results are proved to be better than other methods on the topic.
A Petri Net-based inference network for design automation under nondeterminism applied to mechatronic systems
(Pergamon Press Ltd, 1998) Erden, Z; Erkmen, AM; Erden, A
This paper introduces the completed part of an ongoing research, in which a Petri Net-based design inference network is developed for the representation and analysis of the functions and their interrelationships through information flow for the conceptual design stage of mechatronic systems in order to facilitate design automation. The theoretical framework behind the network is based on transition of Hybrid Automata into Petri Nets and application of this framework is introduced by a mechatronic design example.
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 Maxwell's Equations On Fractal Subsets of R-3
(de Gruyter Poland Sp Z O O, 2013) Golmankhaneh, Alireza K.; Baleanu, Dumitru; Golmankhaneh, Ali K.; Baleanu, Dumitru; 56389
In this paper we have generalized -calculus for fractals embedding in a"e(3). -calculus is a fractional local derivative on fractals. It is an algorithm which may be used for computer programs and is more applicable than using measure theory. In this Calculus staircase functions for fractals has important role. -fractional differential form is introduced such that it can help us to derive the physical equation. Furthermore, using the -fractional differential form of Maxwell's equations on fractals has been suggested.
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.
Applying new fixed point theorems on fractional and ordinary differential equations
(Springer, 2019) Karapınar, Erdal; Karapinar, Erdal; Abdeljawad, Thabet; Abdeljawad, Thabet; Jarad, Fahd; Jarad, Fahd; 234808
In this paper, we consider a fixed point theorem that extends and unifies several existing results in the literature. We apply the proven fixed point results on the existence of solution of ordinary boundary value problems and fractional boundary value problems with integral type boundary conditions in the frame of some Caputo type fractional operators.
Assessment of Criminal Charges Brought Against Teachers
(Nesibe Aydin Education inst, 2020) Ökdem, Meltem; Okdem, Meltem; 45368
The aim of this study was to assess the charges brought against teachers in criminal courts in Turkey. A qualitative research method was used in the study. The study used the document analysis method because it involved the study of legal documents. In order to determine what cases against teachers were brought to trial between 2004 and 2018, charges filed against teachers were obtained via www.kazanci.com and www.LegalBank.com. databases. The themes in the study were determined in accordance with the Turkish Criminal Law as crimes against the person, crimes against the nation and the state, and crimes against society. The study was initiated as a result of the fact that cases of violence in schools have increased rapidly in recent years. One factor in this is offenses committed by teachers, and this situation will cause grave social problems in the future if no measures are taken. It was found that most charges brought against teachers in the criminal courts were cases related to crimes against the person. This was followed by crimes against the nation and state and crimes against society. The curriculum of Faculties of Education should include courses such as human rights, education law, anger control and conflict management to raise teachers' awareness of these issues.
Certain Inequalities Via Generalized Proportional Hadamard Fractional Integral Operators
(Springer, 2019) Abdeljawad, Thabet; Rahman, Gauhar; Abdeljawad, Thabet; Jarad, Fahd; Jarad, Fahd; Khan, Aftab; Nisar, Kottakkaran Sooppy; 234808
In the article, we introduce the generalized proportional Hadamard fractional integrals and establish several inequalities for convex functions in the framework of the defined class of fractional integrals. The given results are generalizations of some known results.
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.

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