Browsing by Author "Avcı, Derya"
Now showing items 1-17 of 17
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Analysis of advective-diffusive transport phenomena modelled via non-singular mittag-leffler kernel
Avcı, Derya; Yetim, Aylin (Edp Sciences S A, 2019)In this study, a linear advection-diffusion equation described by Atangana-Baleanu derivative with non-singular Mittag-Leffler kernel is considered. The Cauchy, Dirichlet and source problems are formulated on the half-line. ... -
Atangana-baleanu türevli lineer adveksiyon-difüzyon denkleminin başlangıç-sınır değer problemleri
Yetim, Aylin (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2019)Kesirli analiz tam sayı mertebeli türev ve integrallerin, keyfi mertebeye genişletilmesi olarak tanımlanmaktadır. Kesirli operatörler, gerçek hayatta karşılaşılabilen birçok problem için problemin gerçekliğine en yakın ... -
Cauchy and source problems for an advection-diffusion equation with Atangana-Baleanu derivative on the real line
Avcı, Derya; Yetim, Aylin (Pergamon-Elsevier Science LTD, 2019)In this paper, a linear advection-diffusion equation involving Atangana-Baleanu derivative described with the Mittag-Leffler kernel is considered on the real line. Different kinds of diffusive transports in the nature obey ... -
Conformable fractional wave-like 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 limit-based 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 time-fractional heat conduction equation with the Caputo derivative of the order ... -
Kesirli türev ile modellenen bir bilgisayar virüsü yayılımının sistem analizi ve optimal kontrolü
Bozaner, Fatma (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2022)Bilgisayar virüsleri insan yapımı olan ve aynı bir biyolojik virüsün insandan insana bulaşması gibi bilgisayardan bilgisayara yayılarak ilerler. Bilgisayar virüslerinin dinamiklerini anlayabilmek ve yol açabileceği zararları ... -
Numerical solution of a two-dimensional anomalous diffusion problem
Özdemir, Necati; Avcı, Derya (Springer New York, 2012)In this chapter, we present the numerical solution of a space-time fractional anomalous diffusion problem in two-dimensional space. Space derivatives with respect to x and y variables are defined in terms of Riesz-Feller ... -
Optimal boundary control of thermal stresses in a plate based on time-fractional heat conduction equation
Özdemir, Necati; Povstenko, Yuriy; Avcı, Derya; İskender, Beyza Billur (Taylor & Francis Inc, 2014)This article presents an optimal control problem for a fractional heat conduction equation that describes a temperature field. The main purpose of the research was to find the boundary temperature that takes the thermal ... -
Optimal control of a linear time-invariant space-time fractional diffusion process
Özdemir, Necati; Avcı, Derya (Sage Publications Ltd, 2014)This paper presents a formulation and numerical solutions of an optimal control problem of a linear time-invariant space-time fractional diffusion equation. The main aim of this formulation is minimization of a performance ... -
Optimal control of the Cattaneo-Hristov heat diffusion model
Avcı, Derya; Eroğlu, Beyza Billur İskender (Springer Wien, 2021)In this study, the optimal control problem for Cattaneo-Hristov heat diffusion, a partial differential equation including both fractional-order Caputo-Fabrizio and integer-order 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 time-conformable fractional heat conduction equation. The aim is to find the boundary temperature that takes thermal ... -
Separable solutions of Cattaneo-Hristov heat diffusion equation in a line segment: Cauchy and source problems
Eroğlu, Beyza Billur İskender; Avcı, Derya (Elsevier, 2021)The behavior of Cattaneo-Hristov 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 ... -
Temperature profiles and thermal stresses due to heat conduction under fading memory effect
Avcı, Derya (Springer Heidelberg, 2021)Examining the thermal stresses in thermally loaded materials used in the construction of technological devices is a fundamental problem to determine how functionally durable they are. Therefore, it is noteworthy to analyze ... -
Time-fractional boundary optimal control of thermal stresses
In this paper, a temperature field described by a fractional heat subconduction equation with a boundary temperature control is considered. The foundation of an optimal boundary control to take the thermal stress under ... -
Uzay-zaman kesirli difüzyon sistemlerinin optimal kontrolü
Avcı, Derya (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2013)Doğadaki pek çok fiziksel olay ideal ya da diğer bir deyişle normal bir davranış göstermez. Bu olayların anlaşılır hale gelebilmesinde matematiksel disiplin bir araç olarak kullanılmaktadır. Klasik analizin keyfi mertebeli ...
