Akademik Çıktılar
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Article Citation - WoS: 6Citation - Scopus: 6A caputo fractional order boundary value problem with integral boundary conditions(Eudoxus Press, Llc, 2013) Babakhani, Azizollah; Abdeljawad, Thabet; MatematikIn this paper, we discuss existence and uniqueness of solutions to nonlinear fractional order ordinary differential equations with integral boundary conditions in an ordered Banach space. We use the Caputo fractional differential operator and the nonlinearity depends on the fractional derivative of an unknown function. The nonlinear alternative of the Leray- Schauder type Theorem is the main tool used here to establish the existence and the Banach contraction principle to show the uniqueness of the solution under certain conditions. The compactness of solutions set is also investigated and an example is included to show the applicability of our results.Article Citation - WoS: 24A chebyshev-laguerre-gauss-radau collocation scheme for solving a time fractional sub-diffusion equation on a semi-infinite domain(Editura Acad Romane, 2015) Bhrawy, A. H.; Abdelkawy, M. A.; Alzahrani, A. A.; Baleanu, D.; Alzahrani, E. O.; MatematikWe propose a new efficient spectral collocation method for solving a time fractional sub-diffusion equation on a semi-infinite domain. The shifted Chebyshev-Gauss-Radau interpolation method is adapted for time discretization along with the Laguerre-Gauss-Radau collocation scheme that is used for space discretization on a semi-infinite domain. The main advantage of the proposed approach is that a spectral method is implemented for both time and space discretizations, which allows us to present a new efficient algorithm for solving time fractional sub-diffusion equations.Article Citation - WoS: 0Citation - Scopus: 2A compact size multiband printed monopole antenna with triple sense circular polarization for wireless applications(Natl inst Optoelectronics, 2020) Al-Mihrab, M.; Salim, A.; Al-Saedi, H.; Ali, J.A penta-band printed monopole antenna based on a hexagonal open loop shape is presented in this paper. The proposed antenna demonstrated a variety in the polarization. Antenna is loaded with some parts and two stair-shaped slits is created in the partial ground plane for enhancing the multiband behavior. A circularly polarized (CP) waves are generated at a three bands with impedance bandwidths (IBWs) of 10.62%, 33.65% and 8.61% centered at 1.60, 5.20 and 6.50 GHz and 3-dB axial ratio bandwidths (ARBWs) of 9.10%, 7.58%, and 4.41% respectively. While a linearly polarized (LP) waves at the other two bands over ranges (2.51-2.64 GHz) and (3.10-3.31 GHz). Besides, the proposed antenna showed a different sense of circular polarization; right hand, left hand, and right hand. The antenna is simulated and fabricated on an FR-4 (glass epoxy) substrate with relative permittivity of 4.6, thickness of 1.6 mm and a loss tangent of 0.02. The properties of multiband and circular polarization, makes the proposed antenna candidates for many modern wireless applications.Article Citation - WoS: 11Citation - Scopus: 13A Composition Formula of the Pathway Integral Transform Operator(Aracne Editrice, 2014) Baleanu, Dumitru; Agarwal, Praveen; 56389; MatematikIn the present paper, we aim at presenting composition formula of integral transform operator due to Nair, which is expressed in terms of the generalized Wright hypergeometric function, by inserting the generalized Bessel function of the first kind w(v) z). Furthermore the special cases for the product of trigonometric functions are also consider.Conference Object Citation - Scopus: 0A course flow model developed for software engineering course(CEUR-WS, 2018) Yılmaz, M.; Güleç, U.As in the rest of the world, many software projects in our country exceed the planned budget and time limits, and the user expectations are not fully met. One of the important reasons for this is the lack of work force that well-trained in software engineering domain. In this article, details of a course flow model and the results of the model for the CENG 396 Software Engineering course, which has been carried out in Çankaya University Department of Computer Engineering for the last four years, will be given. The aim of this study is to explain the lesson flow model which is designed to cultivate the appropriate software engineering and software engineers equipped to conditions in Turkey. In addition, the secondary aim is to share the results of the analysis of this study with other software engineer course instructors so that they can benefit from our experience and achievements.Article Citation - Scopus: 7A Dynamical and Sensitivity Analysis of the Caputo Fractional-Order Ebola Virus Model: Implications for Control Measures(Thammasat University, 2023) Ahmed, I.; Yusuf, A.; Tariboon, J.; Muhammad, M.; Jarad, F.; Mikailu, B.B.; 234808; MatematikThe recurrence of outbreaks in cases of Ebola virus among African countries remains one of the greatest issues of concern. Practices such as hunting or consumption of contam-inated bush meat, unsafe funeral practices, and environmental contamination have all been implicated as possible contributors. This paper investigates the transmission dynamics of the Ebola virus model in the setting of a Caputo fractional-order derivative that accounts for both direct and indirect transmissions of the virus. By employing the concept of fixed theorems, we derived the existence and uniqueness results of the model. Moreover, we analyzed the forward normalized sensitivity indices to identify the critical parameters for controlling the infection and found that reducing the contact rate between infected individuals and susceptible vectors is vital to limiting the virus’s spread. Comparing the proposed fractional-order model with those of the previously developed integer-order model numerically, we found that the proposed model provides more reliable information on the model’s dynamics. Thus, we conclude that the Caputo fractional-order operator is a precise tool for describing the proposed model behavior and can help understand the complexities of Ebola virus disease outbreaks. © 2023, Thammasat University. All rights reserved.Article Citation - WoS: 4Citation - Scopus: 6A fractional derivative inclusion problem via an integral boundary condition(Eudoxus Press, Llc, 2016) Baleanu, Dumitru; Moghaddam, Mehdi; Mohammadi, Hakimeh; Rezapour, Shahram; MatematikWe investigate the existence of solutions for the fractional differential inclusion (c)D(alpha)x(t) is an element of F(t, x(t)) (equipped with the boundary value problems x(0) = 0 and x(1) = integral(eta)(0) x(s)ds, where 0 < eta < 1, 1 < alpha <= 2, D-c(alpha) is the standard Caputo differentiation and F : [0, 1] x R -> 2(R) is a compact valued multifunction. An illustrative example is also discussed.Article Citation - WoS: 5A fractional finite difference inclusion(Eudoxus Press, Llc, 2016) Baleanu, Dumitru; Rezapour, Shahram; Salehi, Saeid; MatematikIn this manuscript we investigated the fractional finite difference inclusion Delta(mu)(mu-2) x(t) is an element of F(t, x(t), Delta x(t)) via the boundary conditions Delta x(b + mu) = A and x(mu - 2) = B, where 1 <= 2, A,B is an element of R and F :N-mu-2(b+mu+2) x R -> 2(R) is a compact valued multifunction.Article Citation - Scopus: 5A Frational Finite Differene Inclusion(Eudoxus Press, LLC, 2016) Baleanu, D.; Rezapour, S.; Salehi, S.; MatematikIn this manuscript, we investigated the fractional finite difference inclusion (formula presented) via the boundary conditions Δx(b+μ)=A and x(μ-2)=B, where 1 < μ ≤ 2, A, B ε ℝ. and (formula presented) is a compact valued multifunction. © 2016 by Eudoxus Press, LLC, All rights reserved.Conference Object Citation - WoS: 15Citation - Scopus: 18A Gamification Approach to Improve the Software Development Process by Exploring the Personality of Software Practitioners(Springer-verlag Berlin, 2016) Yilmaz, Mert; Yilmaz, Murat; O'Connor, Rory V.; Clarke, Paul; Yazılım MühendisliğiAlthough there are various kinds of processes designed to manage the complexities of software development, it is still a challenging endeavor. Recently, a significant number of researchers have started to investigate social problems such as incompatibilities with respect to personality that is likely to be encountered in all stages of the software development process. However, there is no computer-based artifact to reveal the personality types of software practitioners. To bridge this gap, a virtual 3D assessment environment is developed with the ability to immerse individuals similar to a realistic model of the assessment. The interactive questionnaire is based on previous interactive personality assessment framework, which was specifically designed for software engineers. Based on the developed tool, a study was conducted on software practitioners. The data gathered via a survey study from software practitioners is analyzed to observe the difference between the results of paper-based and interactive versions of the same assessment. The analysis of this research states that there is a significant difference between the results of participant's survey scores. Overall, these results indicate that proposed tool is relevant to help software professionals to improve the software development process when personality types are in consideration.Article Citation - WoS: 3Citation - Scopus: 4A Gregus type common fixed point theorem of set-valued mappings in cone metric spaces(Eudoxus Press, Llc, 2011) Abdeljawad, T.; Murthy, P. P.; Tas, K.; 4971; MatematikThe main purpose of this paper is to obtain a common fixed point theorem for a pair of set-valued mappings of Gregus type condition in cone metric spaces, so that the main result obtained in [13] will be generalized to cone metric spaces. The cone under consideration will be normal with normal constant K = 1.Conference Object Citation - WoS: 1Citation - Scopus: 2A Homotopy Perturbation Solution for Solving Highly Nonlinear Fluid Flow Problem Arising in Mechanical Engineering(Amer inst Physics, 2018) Khan, Yasir; Akgul, Ali; Faraz, Naeem; Inc, Mustafa; Akgul, Esra Karatas; Baleanu, Dumitru; 56389; MatematikIn this paper, a highly nonlinear equations are treated analytically via homotopy perturbation method for fluid mechanics problem. The non-linear differential equations are transformed to a coupled non-linear ordinary, differential equations via similarity transformations. Graphical results are presented and discussed for various physical parameters.Article Citation - Scopus: 17A Jacobi Collocation Method for Troesch'S Problem in Plasma Physics(Editura Academiei Romane, 2014) Doha, E.H.; Baleanu, D.; Bhrawi, A.H.; Hafez, R.M.; 56389; MatematikIn this paper, we propose a numerical approach for solving Troesch's problem which arises in the confinement of a plasma column by radiation pressure. It is also an inherently unstable two-point boundary value problem. The spatial approximation is based on shifted Jacobi-Gauss collocation method in which the shifted Jacobi-Gauss points are used as collocation nodes. The results presented here demonstrate reliability and efficiency of the method.Article Citation - Scopus: 1A Lebesgue İntegrable Space of Boehmians for A Class of Dk Transformations(Eudoxus Press, LLC, 2018) Al-Omari, S.; Baleanu, D.; 56389; MatematikBoehmians are objects obtained by an abstract algebraic construction similar to that of field of quotients and it in some cases just gives the field of quotients. As Boehmian spaces are represented by convolution quotients, integral transforms have a natural extension onto appropriately defined spaces of Boehmians. In this paper, we have defined convolution products and a class of delta sequences and have examined the axioms necessary for generating the Dk spaces of Boehmians. The extended Dk transformation has therefore been defined as a one-to-one onto mapping continuous with respect to Δ and δ convergences. Over and above, it has been asserted that the necessary and sufficient conditions for an integrable sequence to be in the range of the Dk transformation is that the class of quotients belongs to the range of the representative. Further results related to the inverse problem are also discussed. © 2018 EUDOXUS PRESS, LLC.Conference Object Citation - WoS: 0Citation - Scopus: 0A Literature Survey on Integration of Wind Energy and Formal Structure of Buildings at Urban Scale(Springer international Publishing Ag, 2018) Paltun, Serpil; Gultekin, Arzuhan Burcu; Celebi, Gulser; 2919Providing the needed and indispensable steady, quality and safe energy is one of the most important issues today. Wind energy is one of the most important renewable energy source. Wind energy has found uses much more in water pumping and obtaining electricity in rural areas until last years. Today, wind energy has taken its place in the energy sector as an alternative source of energy production. High-density building arrays within a city, the combination of indoor and outdoor spaces with different purposes effect wind flow and acceptable wind comfort. In urban areas, wind energy and wind comfort are important requirements. Not only in new urbanisation areas but also for existing urban areas and city centers acceptable wind comfort plays an important role among and around buildings. When viewed from this angle, the aim of this study is enlightening the building aerodynamics, wind effect and wind energy in urban environment, and also giving information about how to analyze the wind comfort and design criteria in dense urban areas.Conference Object Citation - Scopus: 6A Machine-Based Personality Oriented Team Recommender for Software Development Organizations(Springer Verlag, 2015) Yilmaz, M.; Al-Taei, A.; O’Connor, R.V.; Yazılım MühendisliğiHiring the right person for the right job is always a challenging task in software development landscapes. To bridge this gap, software firms start using psychometric instruments for investigating the personality types of software practitioners. In our previous research, we have developed an MBTI-like instrument to reveal the personality types of software practitioners. This study aims to develop a personality-based team recommender mechanism to improve the effectiveness of software teams. The mechanism is based on predicting the possible patterns of teams using a machine-based classifier. The classifier is trained with empirical data (e.g. personality types, job roles), which was collected from 52 software practitioners working on five different software teams. 12 software practitioners were selected for the testing process who were recommended by the classifier to work for these teams. The preliminary results suggest that a personality-based team recommender system may provide an effective approach as compared with ad-hoc methods of team formation in software development organizations. Ultimately, the overall performance of the proposed classifier was 83.3%. These findings seem acceptable especially for tasks of suggestion where individuals might be able to fit in more than one team. © Springer International Publishing Switzerland 2015.Book Part Citation - Scopus: 2A Multiple Criteria Ranking Method Based on Outranking Relations: An Extension for Prospect Theory(Springer Science and Business Media Deutschland GmbH, 2022) Karasakal, E.; Karasakal, O.; Şentürk, H.; 216553; Endüstri MühendisliğiIn this study, Prospect Theory is integrated into a well-known multiple criteria ranking method, PROMETHEE. PROMETHEE considers the outranking relations among alternatives based on the preference functions. Prospect Theory evaluates the alternatives with a difference function based on gains and losses. The preference functions of PROMETHEE are modified to capture the choice behavior of the decision maker. The proposed method is a generalization of PROMETHEE that can handle the higher loss impact case as well as the usual equal loss and gain impact. The proposed method is compared with PROMETHEE, PT-PROMETHEE that is an extension of PROMETHEE with reference alternative, and the weighted sum method using an exemplary data set and Times Higher Education (THE) World University Ranking 2019 and 2020 data. The results show that rankings of alternatives change significantly when the impact of losses is larger than gains. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.Article Citation - WoS: 8Citation - Scopus: 8A new method for dissipative dynamic operator with transmission conditions(Springer Basel Ag, 2018) Ugurlu, Ekin; Tas, Kenan; 238990; 4971; MatematikIn this paper, we investigate the spectral properties of a boundary value transmission problem generated by a dynamic equation on the union of two time scales. For such an analysis we assign a suitable dynamic operator which is in limit-circle case at infinity. We also show that this operator is a simple maximal dissipative operator. Constructing the inverse operator we obtain some information about the spectrum of the dissipative operator. Moreover, using the Cayley transform of the dissipative operator we pass to the contractive operator which is of the class With the aid of the minimal function we obtain more information on the dissipative operator. Finally, we investigate other properties of the contraction such that multiplicity of the contraction, unitary colligation with basic operator and CMV matrix representation associated with the contraction.Book Part Citation - WoS: 0Citation - Scopus: 1A New Route for Regional Planning in Turkey: Recent Developments(Springer international Publishing Ag, 2019) Ozdemir, Suna S.; 25219Since the 1930s, regional plans have been drawn up for various regions in Turkey. However, the institutional practice of regional development policy as well as regional planning began with the establishment of the State Planning Organisation in 1960. After the 1960s, through Five-Year National Development Plans, a regional development policy was defined, and regional development plans were formulated for some specific regions. In practice, there were some challenges and problems during that period in regional planning. The shift in the regional development policy and regional planning began in 1999 with Turkey's accession period to the European Union. For adaptation to the EU's regional policy, some newpolicies, legislation, and institutional set-ups were defined. This chapter mainly focuses on these new policies and instruments, namely the new route taken by regional planning in Turkey.Article Citation - WoS: 5Citation - Scopus: 6A note on fractional neutral integro-differential inclusions with state-dependent delay in Banach spaces(Eudoxus Press, Llc, 2016) Suganya, Selvaraj; Baleanu, Dumitru; Arjunan, Mani Mallika; MatematikWe have applied different fixed point theorems to examine the existence results for fractional neutral integro-differential inclusions (FNIDI) with state-dependent delay (SDD) in Banach spaces. We tend to conjointly discuss the cases once the multivalued nonlinear term takes convex values further as nonconvex values. An example is offered to demonstrate the obtained results.