Defterli, Özlem
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Defterli, Ö. & Defterli, Ozlem & Özlem, Defterli & Defterli, Ö & Defterli, O. & Defterli, Z & Defterli, O
Job Title
Doç. Dr.
Email Address
defterli@cankaya.edu.tr
Main Affiliation
02.02. Matematik
Matematik
02. Fen-Edebiyat Fakültesi
01. Çankaya Üniversitesi
Matematik
02. Fen-Edebiyat Fakültesi
01. Çankaya Üniversitesi
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Current Staff
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Sustainable Development Goals
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2ZERO HUNGER
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3GOOD HEALTH AND WELL-BEING
6
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4QUALITY EDUCATION
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5GENDER EQUALITY
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8DECENT WORK AND ECONOMIC GROWTH
1
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9INDUSTRY, INNOVATION AND INFRASTRUCTURE
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10REDUCED INEQUALITIES
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Documents
32
Citations
1213
h-index
15
Documents
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Scholarly Output
40
Articles
23
Views / Downloads
3478/671
Supervised MSc Theses
1
Supervised PhD Theses
0
WoS Citation Count
991
Scopus Citation Count
1024
Patents
0
Projects
0
WoS Citations per Publication
24.78
Scopus Citations per Publication
25.60
Open Access Source
11
Supervised Theses
1
| Journal | Count |
|---|---|
| Journal of Vibration and Control | 2 |
| International Journal of Modeling, Simulation, and Scientific Computing | 2 |
| Romanian Reports in Physics | 2 |
| Computers & Mathematics with Applications | 2 |
| Journal of Low Frequency Noise, Vibration and Active Control | 2 |
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40 results
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Now showing 1 - 10 of 40
Article Citation - WoS: 20Citation - Scopus: 23A Numerical Scheme for Two-Dimensional Optimal Control Problems With Memory Effect(Pergamon-elsevier Science Ltd, 2010) Defterli, OzlemA new formulation for multi-dimensional fractional optimal control problems is presented in this article. The fractional derivatives which are coming from the formulation of the problem are defined in the Riemann-Liouville sense. Some terminal conditions are imposed on the state and control variables whose dimensions need not be the same. A numerical scheme is described by using the Grunwald-Letnikov definition to approximate the Riemann-Liouville Fractional Derivatives. The set of fractional differential equations, which are obtained after the discretization of the time domain, are solved within the Grunwald-Letnikov approximation to obtain the state and the control variable numerically. A two-dimensional fractional optimal control problem is studied as an example to demonstrate the performance of the scheme. (C) 2009 Elsevier Ltd. All rights reserved.Master Thesis Mathematical aspects of superintgrable systems(2004) Defterli, ÖzlemSuperintegrallenebilir SistemlerArticle Citation - WoS: 5Citation - Scopus: 4Killing-Yano Tensors and Angular Momentum(inst Physics Acad Sci Czech Republic, 2004) Baleanu, D; Defterli, Z; Defterli, ÖzlemNew 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: 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, Ozlem; Tang, Yifa; Baleanu, Dumitru; Arshad, Sadia; Saleem, IramThis 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.Article Citation - Scopus: 88Fractional Diffusion on Bounded Domains(Walter de Gruyter GmbH, 2015) D'Elia, M.; Du, Q.; Gunzburger, M.; Lehoucq, R.; Defterli, O.; Meerschaert, M.M.The mathematically correct specification of a fractional differential equation on a bounded domain requires specification of appropriate boundary conditions, or their fractional analogue. This paper discusses the application of nonlocal diffusion theory to specify well-posed fractional diffusion equations on bounded domains. © 2015 Diogenes Co., Sofia.Conference Object Infectious Disease Dynamics within Advanced Fractional Operators(2019) Defterli, Özlem; Arshad, Sadia; Jajarmi, AminBook Part Hidden symmetries of two dimensional superintegrable systems(2007) Defterli, Özlem; Baleanu, DumitruClassification of the invariants of two - dimensional superintegrable systems is presented. The hidden symmetries associated to the existence of Killing - Yano tensors are investigated.Article Revealing Fractional Effects in an Asymmetric Two-Dimensional Oscillator through Variational Mechanics(SAGE Publications Ltd, 2026) Baleanu, Dumitru; Defterli, Ozlem; Asad, Jihad; Jajarmi, Amin; AlShaikh Mohammad, Noorhan F.The present study is an application of a generalized Lagrangian-Hamiltonian approach to the analysis of an asymmetric two-dimensional harmonic oscillator with the use of the Caputo fractional derivative. Fractional Euler-Lagrange and Hamiltonian equations were systematically developed and then solved numerically using a predictor-corrector version of the Adams-Bashforth-Moulton method. The results show that decreasing the value of the fractional order (alpha) generates a form of memory-based damping within the system that transforms the classical closed orbits of phase space into spiral inward trajectories and causes the total energy of the system to decrease according to a power law, regardless of whether there are any dissipative forces in the system. It was demonstrated that both the degree of coupling and the degree of asymmetry can cause the system to lose energy at different rates and to have different amounts of attenuation in each direction. It was also demonstrated that the model provides a smooth transition to classical conservative behavior as alpha approaches unity, which confirms the physical validity of this representation. This demonstrates that fractional variational mechanics provides a consistent and physically meaningful way to describe the transition from conservative to dissipative behavior for coupled oscillating systems that are governed by memory and non-local effects.Publication Article A Meta-Heuristic Stochastic Algorithm for the Numerical Treatment of Cancer Model through the Chemotherapy and Stem Cells(Elsevier, 2026) Baleanu, Dumitru; Defterli, Ozlem; Sabir, Zulqurnain; Abdelkawy, M. A.Objective: The aim of current research is to present the numerical performances of the cancer treatment model based on chemotherapy and stem cells using one of the heuristic computing neural network procedures. The cancer treatment model through chemotherapy and stem cells is categorized into stem cells, affected cells, tumor cells, and chemotherapy-based concentration drug. Method: A process of artificial neural network is applied using the hybrid optimization of global and local search schemes, which are taken as genetic algorithm (GA) and an active set (AS). An error-based fitness function is designed by using the differential model and then optimized by the hybridization of both global and local search schemes. GA is applied to exploit the global result and give a primary guess to the AS that further improves the results locally. AS is rooted in the GA, where GA produces new populaces and AS optimizes the fitness function for every individual. The hybridization of these two schemes is used iteratively for purifying the results. Ten numbers of neurons and log-sigmoid activation functions has been used to solve the cancer treatment model based on chemotherapy and stem cells. Results: For the correctness of the stochastic solver, the obtained numerical results have been compared with any traditional scheme. Moreover, the reliability and capability of the scheme are performed through the absolute error around 10-05 to 10-07 along with different statistical approaches for solving the mathematical model. Novelty: The proposed artificial neural network structure along with the hybrid optimization of global and local search schemes has never been implemented before to solve the cancer treatment model based on chemotherapy and stem cells.