Defterli, Özlem
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Doç. Dr.
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defterli@cankaya.edu.tr
Main Affiliation
Matematik
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Current Staff
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Scholarly Output
32
Articles
38
Citation Count
826
Supervised Theses
1
32 results
Scholarly Output Search Results
Now showing 1 - 10 of 32
Conference Object Citation - WoS: 1Citation - Scopus: 1Killing-Yano tensors and superintegrable systems(inst Physics Acad Sci Czech Republic, 2004) Defterli, Özlem; Defterli, Ö; Baleanu, D; Baleanu, Dumitru; 31401; 56389; MatematikKilling-Yano (KY) and Killing tensors of the four types of metrics, that represent the two-dimensional spaces given in Darboux's classification, are obtained. It is proved that all spaces admit dual manifolds and their KY tensors are calculated.Book Part Hidden symmetries of two dimensional superintegrable systems(2007) Defterli, Özlem; Baleanu, Dumitru; 56389; 31401; MatematikClassification of the invariants of two - dimensional superintegrable systems is presented. The hidden symmetries associated to the existence of Killing - Yano tensors are investigated.Article Citation - WoS: 5Citation - Scopus: 4Killing-Yano tensors and angular momentum(inst Physics Acad Sci Czech Republic, 2004) Baleanu, Dumitru; Baleanu, D; Defterli, Z; Defterli, Özlem; 56389; 31401; MatematikNew geometries were obtained by adding a suitable term involving the components of the angular momentum to the corresponding free Lagrangians. Killing vectors, Killing-Yano and Killing tensors of the obtained manifolds were investigated.Article Citation - WoS: 12Citation - Scopus: 13Comparative analysis of fractional order dengue model with temperature effect via singular and non-singular operators(Pergamon-elsevier Science Ltd, 2021) Defterli, Ozlem; Defterli, Özlem; 31401; MatematikIn this work, we generalize a (deterministic) mathematical model that anticipates the influence of temperature on dengue transmission incorporating temperature-dependent model parameters. The motivation comes by the epidemiological evidence and several recent studies clearly states fluctuations in temperature, rainfall, and global climate indexes are determinant on the transmission dynamic and epidemic behavior of dengue virus that causes deadly diseases with incidence rates significantly risen worldwide in the past decade. Taking into account the importance of the subject in nowadays and the diversity of fractional calculus operators in mathematical modeling of complex real-world systems, in this paper we investigated the importance of the new model based on Mittag-Leffler kernel as being non-singular kernel. The sensitivity analysis of the generalized model is newly investigated. Numerical simulations are carried out in a comparative sense within the temperature fluctuations for both singular and non-singular fractional operators of different orders. (c) 2021 Elsevier Ltd. All rights reserved.Conference Object Infectious Disease Dynamics within Advanced Fractional Operators(2019) Defterli, Özlem; Arshad, Sadia; Jajarmi, Amin; 31401; MatematikArticle Citation - WoS: 3Citation - Scopus: 5Simpson's method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model(Iop Publishing Ltd, 2021) Defterli, Özlem; Arshad, Sadia; Saleem, Iram; Baleanu, Dumitru; Defterli, Ozlem; Tang, Yifa; Baleanu, Dumitru; 56389; MatematikThis manuscript is devoted to describing a novel numerical scheme to solve differential equations of fractional order with a non-singular kernel namely, Caputo-Fabrizio. First, we have transformed the fractional order differential equation to the corresponding integral equation, then the fractional integral equation is approximated by using the Simpson's quadrature 3/8 rule. The stability of the proposed numerical scheme and its convergence is analyzed. Further, a cancer growth Caputo-Fabrizio model is solved using the newly proposed numerical method. Moreover, the numerical results are provided for different values of the fractional-order within some special cases of model parameters.Conference Object Citation - Scopus: 2Stability Analysis of COVID-19 via a Fractional Order Mathematical Model(Springer Science and Business Media Deutschland GmbH, 2022) Defterli, Özlem; Arshad, S.; Wali, M.; Baleanu, Dumitru; Defterli, O.; Baleanu, D.; 56389; 31401; MatematikIn this work, a four compartmental SEIR model is constructed for the transmission of the Novel Coronavirus infectious disease using Caputo fractional derivative. The disease-free equilibrium and endemic equilibrium are investigated with the stability analysis correspondingly. The solution at different fractional orders is obtained using the Laplace Adomian Decomposition method. Furthermore, the dynamics of the proposed fractional order model are interpreted graphically to observe the behaviour of the spread of disease by altering the values of initially exposed individuals and transmission rate. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.Master Thesis Mathematical aspects of superintgrable systems(2004) Defterli, Özlem; MatematikSuperintegrallenebilir SistemlerArticle Citation - WoS: 50Citation - Scopus: 58Modeling, inference and optimization of regulatory networks based on time series data(Elsevier, 2011) Weber, Gerhard-Wilhelm; Defterli, Özlem; Defterli, Ozlem; Gok, Sirma Zeynep Alparslan; Kropat, Erik; ; 31401; 107899; MatematikIn this survey paper, we present advances achieved during the last years in the development and use of OR, in particular, optimization methods in the new gene-environment and eco-finance networks, based on usually finite data series, with an emphasis on uncertainty in them and in the interactions of the model items. Indeed, our networks represent models in the form of time-continuous and time-discrete dynamics, whose unknown parameters we estimate under constraints on complexity and regularization by various kinds of optimization techniques, ranging from linear, mixed-integer, spline, semi-infinite and robust optimization to conic, e.g., semi-definite programming. We present different kinds of uncertainties and a new time-discretization technique, address aspects of data preprocessing and of stability, related aspects from game theory and financial mathematics, we work out structural frontiers and discuss chances for future research and OR application in our real world. (C) 2010 Elsevier B.V. All rights reserved.Conference Object Citation - WoS: 0Citation - Scopus: 0Projector quantization method of systems with linearly dependent constraints(inst Physics Acad Sci Czech Republic, 2005) Defterli, Özlem; Defterli, O; Baleanu, D; Baleanu, Dumitru; 31401; MatematikThe local free coordinates on the constraint surface are obtained within symplectic projector method when the constraints are linearly dependent. One example is investigated in details.
