Browsing by Author "Eroğlu, Beyza Billur İskender"
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Complex Conformable Derivative
Uçar, Sümeyra; Özgür, Nihal Yılmaz; Eroğlu, Beyza Billur İskender (Springer Heidelberg, 2019)In this study, we introduce a new complex conformable derivative and integral with noninteger order which coincides the classical complex derivative and integral for = 1. We examine basic properties of these newly defined ... 
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 ... 
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 ... 
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 ... 
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 ... 
Generalized conformable variational calculus and optimal control problems with variable terminal conditions
Eroğlu, Beyza Billur İskender; Yapışkan, Dilara (Amer Inst Mathematical SciencesAIMS, 2020)This paper provides generalized transversality conditions for the problems of variational calculus and optimal control, constructed by the conformable derivative. The generalized term is used to emphasize the problems with ... 
Local generalization of transversality conditions for optimal control problem
Eroğlu, Beyza Billur İskender; Yapışkan, Dilara (Edp Sciences S A, 2019)In this paper, we introduce the transversality conditions of optimal control problems formulated with the conformable derivative. Since the optimal control theory is based on variational calculus, the transversality ... 
Modeling of Duhem hysteresis with RiemannLiouville fractional derivative
Eroğlu, Beyza Billur İskender (Balıkesir Üniversitesi, 2020)In the view of memory effect of hysteresis, this work aims to interpret hysteresis nonlinearities in terms of RiemannLiouville fractional derivative which is a singular operator with memory and hereditary properties. ... 
Optimal control of the CattaneoHristov heat diffusion model
Avcı, Derya; Eroğlu, Beyza Billur İskender (Springer Wien, 2021)In this study, the optimal control problem for CattaneoHristov heat diffusion, a partial differential equation including both fractionalorder CaputoFabrizio and integerorder derivatives, is formulated for a rigid heat ... 
Optimal control problem for a conformable fractional heat conduction equation
Eroğlu, Beyza Billur İskender; Avcı, Derya; Özdemir, Necati (Polish Acad Sciences Inst Physics, 2017)This paper presents an optimal boundary temperature control of thermal stresses in a plate, based on timeconformable fractional heat conduction equation. The aim is to find the boundary temperature that takes thermal ... 
Separable solutions of CattaneoHristov heat diffusion equation in a line segment: Cauchy and source problems
Eroğlu, Beyza Billur İskender; Avcı, Derya (Elsevier, 2021)The behavior of CattaneoHristov heat diffusion moving in a line segment under the influence of specified initial and source temperatures has been investigated. The Fourier method has been applied to determine the ...