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Yayın Dirichlet problem for complex model partial differential equations(Taylor & Francis Ltd, 2020) Karaca, BahriyeComplex model partial differential equations of arbitrary order are considered. The uniqueness of the Dirichlet problem is studied. It is proved that the Dirichlet problem for higher order complex partial differential equations with one complex variable has infinitely many solutions.Yayın Dirichlet problem for higher-order equations in a ring domain(Informa UK Limited, 2022) Karaca, BahriyeIn this work, we study the solvability conditions and explicit solution of the Dirichlet problem for the inhomogeneous polyanalytic equation of arbitrary order in the ring domain. The higher-order problem is converted into the system of lower-degree ones.Yayın A note on dirichlet problem for partial differential equations with complex variables in the bidisc(Maltepe Üniversitesi, 2019) Karaca, BahriyeIn this study the results of the Dirichlet boundary value problem are for homogeneous and inhomogeneous complex partial differential equations are collected and analyzed. This study consists of two chapters. In the first chapter, some basic definitions and theorems from functional analysis and some technical preliminaries are presented. After these chapter 1 is devoted to the investigation of the Dirichlet problem for the one dimensional partial differential equations with complex variable in the unit disc D := {z : z < 1} of the complex plane. In the Chapter 2, I studied the Dirichlet problem for the two dimensional partial differential equations with complex variable in D 2 := D1 × D2 = {z = (z1, z2) : |zk| < 1, k = 1, 2}.Yayın PANI: silicene nanocomposites based non-enzymatic electrochemical voltammetric sensor for dopamine detection(Springer, 2023) Baytemir, Guelsen; Taşaltın, Nevin; Karaca, Bahriye; Karakuş, Selcan; Gursu, Gamze; Baris, Behzad; Yıldız, Dilber EsraSelective and sensitive detection of dopamine (DA) is imperative for the diagnosis and management of a wide range of neurological disorders, given its vital role as a critical neurotransmitter in the central nervous system. In this study, a series of non-enzymatic electrochemical voltammetric sensors based on polyaniline (PANI), PANI:Silicene, PANI:Coronene, and PANI:Rubrene nanocomposites (NCs) were developed for the detection of dopamine. The results showed that the PANI:Silicene NCs-based sensor exhibited a highly sensitive response towards DOP, with a sensitivity of 197.84 mu A mu M-1 cm(-2) and the lowest limit of detection (LOD) of 0.0385 mu M. The incorporation of silicene significantly enhanced the sensor's performance in terms of both sensitivity and LOD. These findings demonstrate the potential of PANI-Silicene NC-based sensors for highly sensitive and specific detection of DOP.Yayın Schwarz Problem for Higher Order Beltrami Equation(American Institute of Physics Inc., 2022) Karaca, BahriyeIn the present paper, we consider the Beltrami operator for the unit disc D. In this work, we investigate the solvability of the Schwarz problem for higher order Beltrami equation. In the unit disc, the explicit solution is given for this equation. © 2022 American Institute of Physics Inc.. All rights reserved.Yayın Schwarz-(Dirichlet-Neumann) Problem For The Nonhomogeneous Tri-analytic Equation(American Institute of Physics Inc., 2022) Karaca, BahriyeIn this paper, a combination of boundary value problems for the nonhomogeneous analytic equations have been studied. The aim of this paper is to find a solution for the Schwarz-(Dirichlet-Neumann) problem and obtain its solvability conditions. © 2022 American Institute of Physics Inc.. All rights reserved.Yayın SPDA: Ag nanotel ağ elektrotlu organik güneş hücresi(Bandırma Onyedi Eylül Üniversitesi, 2019) Taşaltın, Nevin; Karaca, BahriyeBu çalışmada, organik güneş pilleri için yüksek saydamlık ve düşük dirence sahip olması beklenen Sülfonatlı poli (difenilamin): Ag nanotel ağ saydam iletken elektrot hazırlanmıştır. Sülfonatlı poli (difenilamin): Ag nanotel ağ saydam iletken elektrotun yüzey direnci 10?cm-2 ve optik geçirgenliği % 88’dir. Elektrot organik güneş hücresinde kullanıldığında güneş hücresinin verimi %2,7 elde edilmiştir. Hazırlanan Sülfonatlı poli (difenilamin): Ag nanowire ağ elektrotu, gelecek vaat eden bir elektrot olarak organik elektronik cihazlarda kullanım için Indiyum kalay oksit malzemeye alternatiftir ve esnek elektronik uygulamalarda da kullanılabilir.