Browsing by Author "Özdemir, Necati"
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Analysis of an axissymmetric fractional diffusionwave problem
Özdemir, Necati; Agrawal, O. P; Karadeniz, Derya; İskender, Beyza Billur (IOP Publishing Ltd, 2009)This paper presents an axissymmetric fractional diffusionwave problem which is considered in polar coordinates. The dynamic characteristics of the system are described with a partial fractional differential equation in ... 
Comparing the new fractional derivative operators involving exponential and Mittagleffler kernel
Yavuz, Mehmet; Özdemir, Necati (Amer Inst Mathematical SciencesAIMS, 2020)In this manuscript, we have proposed a comparison based on newly defined fractional derivative operators which are called as CaputoFabrizio (CF) and AtanganaBaleanu (AB). In 2015, Caputo and Fabrizio established a new ... 
Complex valued neural network with Mobius activation function
Özdemir, Necati; İskender, Beyza Billur; Özgür, Nihal Yılmaz (Elsevier Science Bv, 2011)In this work, we propose a new type of activation function for a complex valued neural network (CVNN). This activation function is a special Mobius transformation classified as reflection. It is bounded outside of the unit ... 
Conformable fractional wavelike equation on a radial symmetric plate
Avcı, Derya; Eroğlu, Beyza Billur İskender; Özdemir, Necati (Springer Verlag, 2017)The generalization of physical processes by using local or nonlocal fractional operators has been an attractive research topic over the last decade. Fractionalization of integer order models gives quite reality to mathematical ... 
Conformable heat equation on a radial symmetric plate
Avcı, Derya; İskender Eroğlu, Beyza Billur; Özdemir, Necati (Vinca Inst Nuclear Sci, 2017)The conformable heat equation is defined in terms of a local and limitbased definition called conformable derivative which provides some basic properties of integer order derivative such that conventional fractional ... 
Constrained optimal control of a fractionally damped elastic beam
Eroğlu, Beyza Billur İskender; Avcı, Derya; Özdemir, Necati (Walter De Gruyter GMBH, 2020)This work presents the constrained optimal control of a fractionally damped elastic beam in which the damping characteristic is described with the Caputo fractional derivative of order 1/2. To achieve the optimal control ... 
Control of thermal stresses in axissymmetric problems of fractional thermoelasticity for an infinite cylindrical domain
Povstenko, Yuriy; Avcı, Derya; Eroğlu, Beyza Billur İskender; Özdemir, Necati (Vinca Inst Nuclear Sci, 2017)In this paper, we study a control problem of thermal stresses in an infinite cylindrical body. The temperature distribution is defined by the timefractional heat conduction equation with the Caputo derivative of the order ... 
A different approach to the european option pricing model with new fractional operator
Yavuz, Mehmet; Özdemir, Necati (Edp Sciences S A, 2018)In this work, we have derived an approximate solution of the fractional BlackScholes models using an iterative method. The fractional differentiation operator used in this paper is the wellknown conformable derivative. ... 
Digital variable sampling integral control of infinite dimensional systems subject to input nonlinearity
Özdemir, Necati (IEEEInst Electrical Electronics Engineers Inc, 2009)In this technical note we present a novel sampleddata lowgain Icontrol algorithm for infinitedimensional systems in the presence of input nonlinearity. The system is assumed to be exponentially stable with invertible ... 
Digital variable sampling integral control of infinitedimensional systems
Özdemir, Necati (2000)In this paper we present sampleddata lowgain Icontrol algorithms for infinitedimensional systems in which the sampling period is not constant. The system is assumed to be exponentially stable with invertible steady ... 
The dirichlet problem of a conformable advectiondiffusion equation
Avcı, Derya ; Eroğlu, Beyza Billur İskender; Özdemir, Necati (Vinca Inst Nuclear Sci, 2017)The fractional advectiondiffusion equations are obtained from a fractional power law for the matter flux. Diffusion processes in special types of porous media which has fractal geometry can be modelled accurately by using ... 
Duhem histerisis girişli doğrusal sistemlerin oransal integral kontrolü
İskender, Beyza Billur (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2007)Bilim ve teknolojinin birçok alanında meydana gelen histerisis olgusu son zamanlarda uygulamaları açısından oldukça önem kazanmıştır. Bu uygulamalar beraberinde histerisisin istenmeyen etkilerinden kurtulmayı getirmiş ve ... 
A dynamic system approach for solving nonlinear programming problems with exact penalty function
Özdemir, Necati; Evirgen, Fırat (Vilnius Gediminas Technical Univ Press, 2008)The Dynamic system has attracted increasing attention in recent years. In this paper, a dynamic system approach for solving Nonlinear Programming (NLP) problems with inequality constrained is presented. First, the system ... 
A dynamic system approach to quadratic programming problems with penalty method
Özdemir, Necati; Evirgen, Fırat (Malaysian Mathematical Sciences Soc, 2010)In this work, we propose a dynamical system (state space) model approach to find a unique minimum of quadratic programming (QP) problem,;, with equality constrained. The unique minimum of the optimization problem is also ... 
Dynamical analysis of fractional order model for computer virus propagation with kill signals
Özdemir, Necati; Uçar, Sümeyra; Eroğlu, Beyza Billur İskender (Walter De Gruyter GMBH, 2020)The kill signals are alert about possible viruses that infect computer network to decrease the danger of virus propagation. In this work, we focus on a fractionalorder SEIRKS model in the sense of Caputo derivative to ... 
European vanilla option pricing model of fractional order without singular kernel
Yavuz, Mehmet; Özdemir, Necati (MDPI, 2018)Recently, fractional differential equations (FDEs) have attracted much more attention in modeling reallife problems. Since most FDEs do not have exact solutions, numerical solution methods are used commonly. Therefore, ... 
Fractional diffusionwave problem in cylindrical coordinates
Özdemir, Necati; Karadeniz, Derya (Elsevier Science Bv, 2008)in this Letter, we present analytical and numerical solutions for an axissymmetric diffusionwave equation. For problem formulation. the fractional time derivative is described in the sense of RiemannLiouville. The ... 
A fractional mixing propagation model of computer viruses and countermeasures involving mittagleffler type kernel
Uçar, Sümeyra; Özdemir, Necati; Hammouch, Zakia (Springer International Publishing Ag, 2020)Countermeasures are recognized as a remarkable effort to comprehend the computer virus problem and estimate its forthcoming actions. CountermeasureCompeting (CMC) strategy is a conception comprising viruses and countermeasures. ... 
Fractional optimal control of a 2dimensional distributed system using eigenfunctions
Özdemir, Necati; Agrawal, Om Prakash; İskender, Beyza Billur; Karadeniz, Derya (Springer, 2009)This paper presents an eigenfunctions expansion based scheme for Fractional Optimal Control (FOC) of a 2dimensional distributed system. The fractional derivative is defined in the RiemannLiouville sense. The performance ... 
Fractional optimal control problem of a distributed system in cylindrical coordinates
Özdemir, Necati; Karadeniz, Derya; İskender, Beyza Billur (Elsevier Science Bv, 2009)In this work, Fractional Optimal Control Problem (FOCP) of a Distributed system is investigated in cylindrical coordinates. Axissymmetry naturally arises in the problem formulation. The fractional time derivative is ...