Yazar "Alisoy, Gülizar" seçeneğine göre listele
Listeleniyor 1 - 7 / 7
Sayfa Başına Sonuç
Sıralama seçenekleri
Öğe A note on applications of time-domain solution of Cole permittivity models(Elsevier Gmbh, 2017) Alagöz, Barış Baykant; Alisoy, Gülizar; Alagoz, Serkan; Alisoy, HafızThe complex dielectric permittivity is an important parameter for characterization of electrical properties of dielectric materials. Experimental studies demonstrated that Cole models of dielectric permittivity can provide a better fitting to the experimental data because of allowing for fractional-order frequency dependence. This study aims to investigate physical interpretation of time domain solutions of Cole permittivity models. For this purpose, impulse responses of Cole-Cole model and Davidson-Cole model are expressed in Mittag-Leffler function form by using inverse Laplace transform. The impulse responses of these models are decomposed into impulsive and dispersive components, and the relations of these components with relaxation mechanism of dielectric materials are discussed. By considering impulse response solution of Cole-Cole models, a fractional order dynamic capacitance model is introduced for time domain equivalent circuit modeling of dielectric materials. Moreover, transient properties of electromagnetic wave penetration to dielectric materials are analyzed according to impulse response solution of Cole-Cole model. To illustrate applications of proposed time domain permittivity solutions, the Cole-Cole model of ethyl-acetate liquids was also studied and results are presented. (C) 2017 Elsevier GmbH. All rights reserved.Öğe Existence and multiplicity of solutions for a Schrödinger-Kirchhoff type equation involving the fractional p(. ,.) -Laplacian operator in RN(Springer-Verlag Italia s.r.l., 2021) Ayazoğlu, R.; Saraç, Y.; Şener, S.Ş.; Alisoy, GülizarIn this paper, by using variational approach, Mountain Pass Theorem and Krasnoselskii’s genus theory, we show the existence and multiplicity of solutions for a Schrödinger–Kirchhoff type equation involving the fractional p(. ,.) -Laplacian in fractional Sobolev space with variable exponent. We also establish a Bartsch–Wang type compact embedding theorem for fractional Sobolev space with variable exponent. © 2020, Universitat de Barcelona.Öğe Existence of one weak solution for p(X)-biharmonic equations involving a concave-convex nonlinearity(Drustvo Matematicara Srbije, 2017) Mashiyev, R.A.; Alisoy, Gülizar; Ekincioğlu, İsmailIn the present paper, using variational approach and the theory of the variable exponent Lebesgue spaces, the existence of nontrivial weak solutions to a fourth order elliptic equation involving a p(x)-biharmonic operator and a concave-convex nonlinearity the Navier boundary conditions is obtained. © 2017, Drustvo Matematicara Srbije. All rights reserved.Öğe Infinitely many solutions for a class of stationary Schrodinger equations with non-standard growth(Taylor & Francis Ltd, 2018) Ayazoğlu (Mashiyev), Rabil; Alisoy, GülizarIn this paper, we study the existence of infinitely many solutions for a class of stationary Schrodinger type equations in R-N involving the p(x)-Laplacian. The non-linearity is superlinear but does not satisfy the Ambrosetti-Rabinowitz type condition. The main arguments are based on the geometry supplied by Fountain Theorem. We also establish a Bartsch type compact embedding theorem for variable exponent spaces.Öğe Multiple small solutions for p(x)-Schrodinger equations with local sublinear nonlinearities via genus theory(Univ Szeged, Bolyai Institute, 2017) Ayazoğlu (Mashiyev), Rabil; Ekincioğlu, İsmail; Alisoy, GülizarIn this paper, we deal with the following p(x) - Schrodinger problem: { (-div (vertical bar del u vertical bar(p(x)-2)del u) + V(x) vertical bar u vertical bar(p(x)-2) u = f (x, u) in R-N; u is an element of W-1,W-p(x) (R-N), where the nonlinearity is sublinear. We present the existence of infinitely many solutions for the problem. The main tool used here is a variational method and Krasnoselskii's genus theory combined with the theory of variable exponent Sobolev spaces. We also establish a Bartsch-Wang type compact embedding theorem for the variable exponent spaces.Öğe Solution of the Cauchy Problem in Fourier Series for a Linear RC Circuit with a Resistor and Two Capacitors(2023) Özkutlu, Numan Derda; Alisoy, Hafız; Alisoy, GülizarAs it is known, solutions obtained in terms of Fourier series are widely used for more detailed analysis of mathematical models defined for different engineering problems. In this study, for the mathematical analysis of transient events in active RC based linear electronic circuits, the Cauchy problem is defined and solved in terms of Fourier series. For this reason, first of all, the mathematical model needed for the mathematical definition of the investigated problem was created. Based on the defined mathematical model, a quadratic differential equation for the linear RC electric circuit is obtained and the voltage and current changes are analysed for simple special cases using the Fourier series. As a result, mathematical modelling of transient processes occurring in linear RC circuits and mathematical problems defined as the Cauchy problem for such circuits have been solved analytically. It is thought that the results of the research will contribute theoretically and practically to the solution of the problems that arise in the study and design automation of different electronic circuits containing nonlinear circuit elements.Öğe Transient Analysis of Double Layer Metal-Gas-Dielectric-Metal DBD Cell(2017) Alisoy, Gülizar; Hansu, Fevzi; Alagöz, Barış Baykant; Alisoy, HafızThe investigation of Dielectric Barrier Discharges (DBD) in the absence of breakdown has significance in the perspective of the technological processes based on discharge phenomena and high voltage techniques. This study carries out transient analyses for the temporal evolution of electrical field, space charge density, polarization current while charging experimental Metal-Gas-Dielectric-Metal (MGDM) DBD cell. For these proposes, a theoretical model based on current continuity and two-layer polarization mechanism is developed for the investigation of an experimental MGDM electrodes system. In the steady state, the model obeys energy conservation law. Analysis results are discussed on the basis of experimental current measurements to explain pulsed DBD current
