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A Fast And Responsive Turn-On Fluorescent Probe Based On A Quinone Conjugated Alkoxy Derivative For Biothiols And A Cellular Imaging Study, Ulviyye Nemetova, Ayşe Nur Önem, Alev Er, Sefa Çeli̇k, Ayşen E. Özel, Sevi̇m Akyüz, Mustafa Özyürek, Si̇bel Şahi̇nler Ayla
A Fast And Responsive Turn-On Fluorescent Probe Based On A Quinone Conjugated Alkoxy Derivative For Biothiols And A Cellular Imaging Study, Ulviyye Nemetova, Ayşe Nur Önem, Alev Er, Sefa Çeli̇k, Ayşen E. Özel, Sevi̇m Akyüz, Mustafa Özyürek, Si̇bel Şahi̇nler Ayla
Turkish Journal of Chemistry
Detection of intracellular biothiols (cysteine (CYS), N-acetyl cysteine (NAC) and glutathione (GSH)) with high-selectivity and sensitivity is important to reveal biological functions. In this study, 2-(2-methoxy-4-methylphenoxy)-3-chloro-5,8-dihydroxynaphthalene-1,4-dione (3) (DDN-O) compound was newly synthesized and used as a fluorogenic probe (detector molecule) in the fluorometric method for the rapid, highly selective and sensitive determination of biothiols. The intensity values (λex = 260 nm, λem = 620 nm) of the product were measured by adding biotihols to the reaction medium at varying concentrations and the glutathione equivalent thiol content (GETC) values of each biotiol were calculated. Using the compoud (3), the reference biotiol …
New Naphthalene-Linked Pyrazoline-Thiazole Hybrids As Prominent Antilung And Antibreast Cancer Inhibitors, Hali̇li̇brahi̇m Çi̇ftçi̇, Masami Otsuka, Mikako Fujita, Belgi̇n Sever
New Naphthalene-Linked Pyrazoline-Thiazole Hybrids As Prominent Antilung And Antibreast Cancer Inhibitors, Hali̇li̇brahi̇m Çi̇ftçi̇, Masami Otsuka, Mikako Fujita, Belgi̇n Sever
Turkish Journal of Chemistry
Epidermal growth factor receptor (EGFR) and HER2, pioneer members of the receptor tyrosine kinase subfamily, are frequently mutated and/or overexpressed in several types of human cancers, including non-small cell lung cancer (NSCLC) and breast cancer, which are leading causes of cancer-related deaths worldwide. EGFR and HER2-focused anti-NSCLC and anti-breast cancer studies encouraged us to search for new potential agents. For this purpose, in the current work, naphthalene-linked pyrazoline-thiazole hybrids (BTT1-10 and BTP1-10) were synthesized and examined for their antiproliferative effects on A549 NSCLC and MCF-7 breast cancer cell lines. According to the results, MTT assay showed that BTT-5 induced strong …
Synthesis, Structure, Hirshfeld Surface Analysis, And Molecular Docking Studies Of The Cocrystal Between The Cu(Ii) Complex Of Salicylic Acid And Uncoordinated Piracetam, Nazokat N. Yuldasheva, Ikram I. Abdullaev, Oybek I. Khudoyberganov, Lola A. Gandjaeva, Pirnazar K. Kodamboev, Elyor Sh. Samandarov, Adkhamjon S. Normamatov, Abror Kh. Ruzmetov, Yuldosh Y. Yakubov, C. Balakrishnan, Bakhtiyar T. Ibragimov, Aziz Bakhti̇yarovich Ibragimov
Synthesis, Structure, Hirshfeld Surface Analysis, And Molecular Docking Studies Of The Cocrystal Between The Cu(Ii) Complex Of Salicylic Acid And Uncoordinated Piracetam, Nazokat N. Yuldasheva, Ikram I. Abdullaev, Oybek I. Khudoyberganov, Lola A. Gandjaeva, Pirnazar K. Kodamboev, Elyor Sh. Samandarov, Adkhamjon S. Normamatov, Abror Kh. Ruzmetov, Yuldosh Y. Yakubov, C. Balakrishnan, Bakhtiyar T. Ibragimov, Aziz Bakhti̇yarovich Ibragimov
Turkish Journal of Chemistry
The cocrystal or supramolecular complex between Cu(II) complex of salicylic acid and uncoordinated piracetam has been synthesized. Its structure is characterized by element analysis, FT-IR, UV-Visible spectroscopy and X-ray crystallography. Spectroscopic methods confirm the formation of the metal complex while X-ray crystallography establishes molecular and crystal structure of the obtained compound. Binuclear Cu(II) complex of salicylic acid (complex molecule) is in the form of “Chinese lantern” and it interacts with uncoordinated piracetam by complicated system of H-bonds. However, according to the Hirshfeld surface analysis a contribution of the O•••H/H•••O contacts is only 24.9% while H•••H and H•••C/C•••H contacts account for …
Quantum Singular Oscillator With Potential Controlled By Position-Dependent Mass, Elchin Jafarov, Shakir Nagiyev
Quantum Singular Oscillator With Potential Controlled By Position-Dependent Mass, Elchin Jafarov, Shakir Nagiyev
Turkish Journal of Physics
An exactly solvable model of a nonrelativistic quantum singular oscillator with a controlled potential is constructed. A position-dependent mass is introduced instead of a constant mass of the quantum system under consideration in such a way that it is possible to purposefully control the shape of the potential, turning it into a quantum well with different depths. It is shown that analytical expressions of the wave functions of such a quantum system are described through 2F1 type hypergeometric functions and Jacobi polynomials, whereas, the discrete energy spectrum corresponding to these analytic solutions is non-equidistant. In a specific limit, when the …
Sustainable Carbon Footprint Growth Mechanism In Forest Systems Under Patterns Ofglobal Climate Change, Wenbo Zhang, Guangxu Liu
Sustainable Carbon Footprint Growth Mechanism In Forest Systems Under Patterns Ofglobal Climate Change, Wenbo Zhang, Guangxu Liu
Turkish Journal of Agriculture and Forestry
Forests play a crucial role in regulating the global carbon cycle, but there are few existing studies on measuring the carbonfootprint of forest systems and analyzing the driving factors for sustained growth. This study investigated the carbon footprint of forestsystems, examined the driving factors behind their sustained growth under patterns of global climate change, and developed a researchmethodology to understand this sustained growth mechanism. To determine the carbon footprint and carbon-carrying capacity offorest systems, this study began with the impact of cities on forest systems and constructed a carbon footprint account for forest systems.Based on a relative growth model and …
Occurrence And Biodiversity Of Cyst Nematodes In Wheat And Barley Cultivation Areas Ofuşak Province, Türkiye, Seli̇n Türkay, Ebubeki̇r Yüksel, Refi̇k Bozbuğa, Di̇lek Di̇nçer, Ati̇lla Öcal, Furkan Ulaş, Muhammad Sameeullah, Abdelfettah Dababat, Mustafa İmren
Occurrence And Biodiversity Of Cyst Nematodes In Wheat And Barley Cultivation Areas Ofuşak Province, Türkiye, Seli̇n Türkay, Ebubeki̇r Yüksel, Refi̇k Bozbuğa, Di̇lek Di̇nçer, Ati̇lla Öcal, Furkan Ulaş, Muhammad Sameeullah, Abdelfettah Dababat, Mustafa İmren
Turkish Journal of Agriculture and Forestry
Plant parasitic nematodes (PPNs) are one of the major threats to various crops including cereals. In wheat and barleyproduction, the profitability of cultivation heavily depends on the management of cyst nematodes (CNs), especially on Heteroderaavenae, H. filipjevi, and H. latipons. In this study, field surveys were conducted in wheat and barley cultivation systems of Uşak Provinceto reveal the presence and diversity of PPNs. In total, 80 wheat and barley fields were surveyed, and samples (soil and root) wereprocessed for the isolation and identification of PPNs. The PPN genera were identified to the species level based on morphologicaland morphometric characters. CNs …
Advances In Hyperspectral Remote Sensing For Precision Fertilization Decision-Making: A Comprehensive Overview, Jing Nie, Ke Wu, Yang Li, Jingbin Li, Bohan Hou
Advances In Hyperspectral Remote Sensing For Precision Fertilization Decision-Making: A Comprehensive Overview, Jing Nie, Ke Wu, Yang Li, Jingbin Li, Bohan Hou
Turkish Journal of Agriculture and Forestry
With the rapid development of Internet of Things (IOT), big data analysis, artificial intelligence and other technologies, precision agriculture is receiving more and more attention and emphasis worldwide. Precision agriculture (PA), also known as fine agriculture and precision agriculture, refers to an agricultural method that obtains spatial and temporal variability information on crop yields and environmental factors (e.g., soil structure, topography, plant nutrients, water content, pests and diseases, etc.) in farm plots through high-tech to achieve positioning, timing, and quantification of the implementation of modern farming operation techniques and management.And fertilizer application plays an indispensable role in agricultural production. Reasonable …
An Improved Conditional Integrator Sliding Mode Controller Based On Swarm Intelligence For A Magnetic Levitation System, Abdelkader Kerraci, Mohamed Fayçal Khelfi, Zoubir Ahmed-Foitih
An Improved Conditional Integrator Sliding Mode Controller Based On Swarm Intelligence For A Magnetic Levitation System, Abdelkader Kerraci, Mohamed Fayçal Khelfi, Zoubir Ahmed-Foitih
Turkish Journal of Electrical Engineering and Computer Sciences
This paper proposes an enhanced Conditional Integrator Sliding Mode Controller using Particle Swarm Optimization (CISMCPSO) for a magnetic levitation system (MLS). The main advantage of this controller is its robustness to uncertainties and disturbances, which also avoids chattering and ensures zero static steady-state error. The main idea of CISMCPSO is to activate its integral action only when the sliding surface reaches the boundary layer while it is reduced to zero or close to zero elsewhere, which avoids destroying the transient response caused by the conventional integral sliding-mode controller. A particle swarm optimization algorithm schedules the conditional integral term parameter of …
Uniform 3d Scattering Point Model For Simulating The Dynamic Radar Echo From Wind Farm, Bo Tang, Zhendong Zhu, Zhiyu Shang, Huanghai Xie, Feng Wang, Jiaxu Chen
Uniform 3d Scattering Point Model For Simulating The Dynamic Radar Echo From Wind Farm, Bo Tang, Zhendong Zhu, Zhiyu Shang, Huanghai Xie, Feng Wang, Jiaxu Chen
Turkish Journal of Electrical Engineering and Computer Sciences
The calculation scale of simulating wind farm dynamic radar echo is gradually growing with the increasing scale of wind farms, which can hardly meet the requirements of real-time radar echo simulation. Considering that the method of surface element division can greatly influence the result of simulation, uniform surface element division is applied to accelerate the traditional simulation algorithm based on the refined 3D scattering point model and enhance the main characteristics of the radar echo. The solution time of dynamic radar echoes from 1-8 wind turbines is calculated to test the average speed that the uniform 3D scattering point model …
Developing Linguistic Patterns To Mitigate Inherent Human Bias In Offensive Language Detection, Toygar Tanyel, Besher Alkurdi, Serkan Ayvaz
Developing Linguistic Patterns To Mitigate Inherent Human Bias In Offensive Language Detection, Toygar Tanyel, Besher Alkurdi, Serkan Ayvaz
Turkish Journal of Electrical Engineering and Computer Sciences
With the proliferation of social media, there has been a sharp increase in offensive content, particularly targeting vulnerable groups, exacerbating social problems such as hatred, racism, and sexism. Detecting offensive language use is crucial to prevent offensive language from being widely shared on social media. However, the accurate detection of irony, implication, and various forms of hate speech on social media remains a challenge. Natural language-based deep learning models require extensive training with large, comprehensive, and labeled datasets. Unfortunately, manually creating such datasets is both costly and error-prone. Additionally, the presence of human-bias in offensive language datasets is a major …
A Cascade Genetic Algorithm Based Adaptive Backstepping Impedance Control For Upper Limb Rehabilitation Robot, Mawloud Aichaoui, Ameur Ikhlef
A Cascade Genetic Algorithm Based Adaptive Backstepping Impedance Control For Upper Limb Rehabilitation Robot, Mawloud Aichaoui, Ameur Ikhlef
Turkish Journal of Electrical Engineering and Computer Sciences
This paper proposes a novel cascade impedance control architecture designed for the upper limb exoskeleton rehabilitation robot. The proposed architecture comprises two parts: Firstly, the impedance reference trajectory is shaped from the desired trajectory utilizing the desired impedance model and feedback contact torques. The second part of the proposed controller is an adaptive backstepping control, responsible for tracking the generated impedance reference trajectory. Notably, the proposed adaptive backstepping impedance controller is non-model-based control approach, eliminating the need for the robot's model. Furthermore, a genetic algorithm is employed as an offline tuning method for the inner position loop controller, namely the …
A New Dxccdita Based Meminductor Emulator And Its Application In Chaotic Oscillator, Bhawna Aggarwal, Shireesh Kumar Rai, Harsh Jain
A New Dxccdita Based Meminductor Emulator And Its Application In Chaotic Oscillator, Bhawna Aggarwal, Shireesh Kumar Rai, Harsh Jain
Turkish Journal of Electrical Engineering and Computer Sciences
This work introduces a new dual-X current conveyor differential input transconductance amplifier (DXCCDITA) based meminductor emulator, alongside its application in chaotic oscillator has also been presented. To realize the designed meminductor emulator, one DXCCDITA, two resistors, and two capacitors are employed. Pinched hysteresis loops are achieved across a wide frequency range spanning from 100 Hz to 1.5 MHz, encompassing both decremental and incremental topologies. Additionally, the proposed circuit offers the flexibility to switch between incremental and decremental configurations using a simple switch. Through examination of non-volatility and transient responses, the efficiency of the presented emulator is evidently demonstrated. To further …
A Surface-Based Approach For 3d Approximate Convex Decomposition, Onat Zeybek Kuşkonmaz, Yusuf Sahi̇lli̇oğlu
A Surface-Based Approach For 3d Approximate Convex Decomposition, Onat Zeybek Kuşkonmaz, Yusuf Sahi̇lli̇oğlu
Turkish Journal of Electrical Engineering and Computer Sciences
Approximate convex decomposition enables the simplification of complex shapes into manageable convex components. In this work, we propose a novel surface-based method to achieve this which leads to efficient computation times and sufficiently convex results while avoiding over-approximating the input model. We start approximation using mesh simplification. Then we iterate over the surface polygons of the mesh and divide them into convex groups. We utilize planar and angular equations to determine suitable neighboring polygons for inclusion in forming convex groups. To ensure our method outputs a sufficient result for a wide range of input shapes, we run multiple iterations of …
Lgformer: Informer-Based Personalized Modeling For Blood Glucose Prediction, Xue Yuewei, Shaopeng Guan, Jia Wanhai
Lgformer: Informer-Based Personalized Modeling For Blood Glucose Prediction, Xue Yuewei, Shaopeng Guan, Jia Wanhai
Turkish Journal of Electrical Engineering and Computer Sciences
Effective diabetes management relies on precise prediction of blood glucose levels to minimize complications. However, the patterns and fluctuations in blood glucose vary significantly among patients, posing a challenge for existing prediction methods. Many current approaches fail to accommodate these individual differences, leading to less reliable predictions. In response to this challenge, we present LGformer, a novel prediction model based on the Informer architecture, designed to enhance both flexibility and accuracy. LGformer improves upon Informer by integrating LSTM and GRU layers into its probSparse Self-attention mechanism, allowing for personalized processing of blood glucose data tailored to each patient's unique profile. …
In-Situ Superconductor Temperature Sensor For Cryogenic Integrated Circuits, Emre Küçükyilmaz, Nazi̇f Orhun Tekci̇, Sasan Razmkhah, Ali̇ Bozbey
In-Situ Superconductor Temperature Sensor For Cryogenic Integrated Circuits, Emre Küçükyilmaz, Nazi̇f Orhun Tekci̇, Sasan Razmkhah, Ali̇ Bozbey
Turkish Journal of Electrical Engineering and Computer Sciences
Cryogenic circuits, such as those based on single flux quantum (SFQ) logic, function at extremely low temperatures. Therefore, the designs target the utilization of liquid helium (LHe) temperatures, maintaining them at 4.2 K. These specialized circuits can be subjected to measurement either within liquid helium (LHe) baths or enclosed within closed-cycle cryocoolers.However, when utilizing LHe in cryocooler systems, inherent weak thermal contact can lead to temperature gradients between the circuit chip and the cold head, where conventional temperature sensors are typically placed. To address this challenge, this study introduces an innovative on-chip temperature sensing approach that capitalizes on the temperature …
Fault Diagnosis Of Photovoltaic Array Based On Gated Residual Network With Multi-Head Self Attention Mechanism, Ahmed Mesai Belgacem, Mounir Hadef, Abdesslem Djerdir
Fault Diagnosis Of Photovoltaic Array Based On Gated Residual Network With Multi-Head Self Attention Mechanism, Ahmed Mesai Belgacem, Mounir Hadef, Abdesslem Djerdir
Turkish Journal of Electrical Engineering and Computer Sciences
Effective fault identification and diagnosis in photovoltaic (PV) arrays is vital for improving the effectiveness, and safety of solar energy systems. While various artificial intelligence methods have successfully established fault detection and diagnosis models, introducing inefficiencies and potentially overlooking useful features. Moreover, these methods often employ neural networks with limited performance capabilities. In response to these challenges, this paper introduces an innovative intelligent model that integrates a combination of a gated residual neural network (GRN) and a multi-head self-attention mechanism (MHSA). To evaluate the proposed fault diagnosis model, the small-scale PV grid system is implemented, and fault simulation experiments, including …
Computing Exterior Isoclinism Of Crossed Modules, Zekeri̇ya Arvasi̇, Alper Odabaş
Computing Exterior Isoclinism Of Crossed Modules, Zekeri̇ya Arvasi̇, Alper Odabaş
Turkish Journal of Mathematics
In this paper, we introduce exterior isoclinism for crossed modules, extending the concept of isoclinism from groups to these 2-dimensional algebraic structures. Motivated by work on tensor and exterior products of non-abelian groups, we utilize non-abelian exterior products, exterior squares, and exterior centers to define this new equivalence relation. Additionally, we provide computational tools implemented in the GAP system to identify exterior isoclinism families of small groups and crossed modules.
The Multiples Of A Numerical Semigroup, Ignacio Ojeda, José Carlos Rosales
The Multiples Of A Numerical Semigroup, Ignacio Ojeda, José Carlos Rosales
Turkish Journal of Mathematics
Given two numerical semigroups $S$ and $T$ we say that $T$ is a multiple of $S$ if there exists an integer $d \in \mathbb{N} \setminus \{0\}$ such that $S = \{x \in \mathbb{N} \mid d x \in T\}$. In this paper we study the family of multiples of a (fixed) numerical semigroup. We also address the open problem of finding numerical semigroups of embedding dimension $e$ without any quotient of embedding dimension less than $e$, and provide new families with this property.
Moment-Based Approximation For Variance Of Semi-Markovian Random Walk With Gamma Distributed Interference Of Chance, Büşra Alakoç, Asli Bektaş Kamişlik, Tülay Yazir, Tahi̇r Khaniyev
Moment-Based Approximation For Variance Of Semi-Markovian Random Walk With Gamma Distributed Interference Of Chance, Büşra Alakoç, Asli Bektaş Kamişlik, Tülay Yazir, Tahi̇r Khaniyev
Turkish Journal of Mathematics
This study proposed moment-based approximations for the expected value and variance of the ergodic distribution of the semi-Markovian random walk process (X(t)) with gamma distributed interference of chance. Many studies have investigated analogous moment problems by using asymptotic approach. The key distinguishing aspect of this study from others in the literature is obtaining Kambo’s approximations for the moments of X(t) instead of asymptotic expansions. Firstly, the approximation formulas for the moments of boundary functional SN(z) of X(t) were obtained. Then using these results, approximation formulas for the first two moments of the ergodic distributions of X(t) were derived. Finally, the …
Free Weakly K-Nilpotent N-Tuple Semigroups, Anatolii V. Zhuchok, Jorg Koppitz
Free Weakly K-Nilpotent N-Tuple Semigroups, Anatolii V. Zhuchok, Jorg Koppitz
Turkish Journal of Mathematics
In this paper, we construct a free object in the variety of weakly k-nilpotent n-tuple semigroups and characterize the least weakly k-nilpotent congruence on a free n-tuple semigroup. Moreover, we present separately free weakly k-nilpotent n-tuple semigroups of rank 1, calculate the cardinality of the free weakly k-nilpotent n-tuple semigroup for the finite case, emphasize that the semigroups of the free weakly k-nilpotent n-tuple semigroup are isomorphic and the automorphism group of the free weakly k-nilpotent n-tuple semigroup is isomorphic to the symmetric group. We also describe all maximal n-tuple subsemigroups of the free weakly k-nilpotent n-tuple semigroup and all …
Explicit Solution Of System Of Two Higher-Order Recurrences, László Németh, László Szalay
Explicit Solution Of System Of Two Higher-Order Recurrences, László Németh, László Szalay
Turkish Journal of Mathematics
We give a method to determine an explicit solution to a system of two inhomogeneous linear recursive sequences of higher order. Our approach can be used efficiently in solving certain combinatorial problems. We finish the paper by considering a tiling problem with black and white dominoes, and we use the method as a demonstration to find the solution.
Some Complementary Results On Asymptotic Behavior Of Solutions Of Neutral Difference Equations, Nour H. M. Alsharif, Başak Karpuz
Some Complementary Results On Asymptotic Behavior Of Solutions Of Neutral Difference Equations, Nour H. M. Alsharif, Başak Karpuz
Turkish Journal of Mathematics
This paper focuses on examining the boundedness and asymptotic behavior of all solutions of the neutral difference equations\begin{equation}\Delta[x_{n}-p_{n}x_{n-\kappa}]+q_{n}x_{n-\ell}=0\quad\text{for}\ n=0,1,\cdots,\label{abseq1}\tag{$\star$}\end{equation}and\begin{equation}\Delta[x_{n}-px_{n-\kappa}]+q_{n}x_{n-\ell}=0\quad\text{for}\ n=0,1,\cdots,\label{abseq2}\tag{$\star\star$}\end{equation}where $\kappa,\ell\in\N$, $\{p_{n}\}\subset[0,1)$, $p\in[0,1)$ and $\{q_{n}\}\subset[0,\infty)$.Diverging from much of the existing literature, our results accommodate the scenario where$\{p_{n}\}\subset[\frac{1}{2},1)$ and $p\in[\frac{1}{2},1)$ for \eqref{abseq1} and \eqref{abseq2}, respectively.Furthermore, we underscore the practical implications of our results through the presentation of numerical examples. This paper focuses on examining the boundedness and asymptotic behavior of all solutions of the neutral difference equations \begin{equation} \Delta[x_{n}-p_{n}x_{n-\kappa}]+q_{n}x_{n-\ell}=0\quad\text{for}\ n=0,1,\cdots,\label{abseq1}\tag{$\star$} \end{equation} and \begin{equation} \Delta[x_{n}-px_{n-\kappa}]+q_{n}x_{n-\ell}=0\quad\text{for}\ n=0,1,\cdots,\label{abseq2}\tag{$\star\star$} \end{equation} where $\kappa,\ell\in\N$, $\{p_{n}\}\subset[0,1)$, $p\in[0,1)$ and $\{q_{n}\}\subset[0,\infty)$. Diverging from much of the existing literature, our results …
Fibration Category Structures Induced By Enrichments, Mehmet Aki̇f Erdal
Fibration Category Structures Induced By Enrichments, Mehmet Aki̇f Erdal
Turkish Journal of Mathematics
We study fibration category structures induced by enrichments over symmetric monoidal categories that are also fibration categories. Let $\mathcal V$ be a monoidal category that is also a fibration category. Assume that $\mathcal V$ has an interval object. We show that the fibration category structure on $\mathcal V$ can be transferred over any $\mathcal V$-enriched category through corepresentable functors provided that certain power objects exists. We also give its $G$-equivariant extension for a group $G$, so that under mild conditions the category of $G$-objects in a $\mathcal V$-enriched category admits a (non-trivial) fibration category structure. We later show that several …
The 2-Adic Valuation Of Shifted Padovan And Perrin Numbers And Applications, Eric Bravo, Nuretti̇n Irmak
The 2-Adic Valuation Of Shifted Padovan And Perrin Numbers And Applications, Eric Bravo, Nuretti̇n Irmak
Turkish Journal of Mathematics
We characterize the 2-adic valuation of (Pn − 1)n≥0 , where (Pn)n≥0 denotes the Padovan sequence. In addition, we use this formula to find all the Cullen and Proth numbers that are Padovan numbers. We also fully describe the 2-adic order of (Rn + 1)n≥0 , where (Rn)n≥0 denotes the Perrin sequence, and use it to find all Woodall and Proth numbers of the second kind which are Perrin numbers. As a consequence we find that 3, 5, 9, and 65 are the only Fermat numbers in the Padovan sequence; while 3 and 7 and 2 and 5 are the …
Coefficient Problems For A Certain Subclass Of Analytic And Univalent Functions, Osman Altintaş, Ni̇zami̇ Mustafa
Coefficient Problems For A Certain Subclass Of Analytic And Univalent Functions, Osman Altintaş, Ni̇zami̇ Mustafa
Turkish Journal of Mathematics
In the present work, some new subclasses of analytic and univalent functions are introduced and some 5 geometric properties such as coefficient estimates problem are studied for them. Furthermore, we show that our results 6 are generalization for some earlier works in the literature and we show this by comparing ours with those related.
Numerical Solutions Of Sird Model Of Covid-19 By Utilizing Pell-Lucascollocation Method, Gamze Yildirim, Şuayi̇p Yüzbaşi
Numerical Solutions Of Sird Model Of Covid-19 By Utilizing Pell-Lucascollocation Method, Gamze Yildirim, Şuayi̇p Yüzbaşi
Turkish Journal of Mathematics
This article presents an SIRD model based on the evolution of Coronavirus Disease 2019 (COVID-19) caused by SARS-CoV-2 from the coronavirus family. Firstly, we constitute Pell-Lucas collocation method (PLCM) for this model. According to method, the matrix forms of the Pell-Lucas polynomials (PLPs) are constituted. By utilizing this matrix forms, solution forms and all terms in this model are expressed in matrix form. Thus, PLCM transforms our model into a system of the matrix equations. By solving this system, the approximate solutions are obtained. In addition, the error analysis is also presented. In the examples of this study, we analyzed …
Some Free Boundary Problem Arising In Rock Mechanics, Anvarbek Meirmanov, Koblandy Yerzhanov
Some Free Boundary Problem Arising In Rock Mechanics, Anvarbek Meirmanov, Koblandy Yerzhanov
Turkish Journal of Mathematics
An initial boundary value problem for the in-situ leaching of rare metals with the acid solution in the elastic skeleton is considered. First, we describe physical processes at the microscopic level with a dimensional pore size [[EQUATION]]1 by the model [[EQUATION]], where dynamics of the incompressible solid skeleton is described by the Lamé equations and the physical process in the pore space by the Stokes equations for the incompressible fluid in combination with the diffusion and transport equations for the concentration of acid and product of chemical reactions. Since the solid skeleton changes its geometry upon dissolution, the “pore space …
The Compositions Derived From By Changing Variable In Singular Distributions, Emi̇n Özçağ
The Compositions Derived From By Changing Variable In Singular Distributions, Emi̇n Özçağ
Turkish Journal of Mathematics
In this paper we concern further results of \cite{kn:oz9,kn:oz8} by using the method mainly related to the finite part of divergent integral, in fact we consider the powers for positive integers of the composition of the Dirac delta function and an infinitely differentiable function having any number of distinct multiple roots which will be defined as the neutrix limit of the regular sequence $\delta^k_n(f(x))$. Moreover we show that the powers of the composition $\delta(f(x))$ for negative integers can be also defined via neutrix settings. Some compositions as examples to better understand will be given.