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Öğe Improving stability and buckling resistance of self-supporting ısotrussed telecommunication tower under wind load: an evaluation according to TIA-222-G standards(Faculty of Civil Engineering, Semnan University, 2025) Faharidine, Mahamoudou; Usama Aslam, Muhammad; Choufaikat, Mohamed MoutuouDespite the growing demand for durable telecommunication infrastructure, tower stability and durability remain significant challenges. The self-supporting isotrussed telecommunication tower (SSITT) offers a promising solution, but its performance under wind loads requires further improvements. This paper investigates SSITT stability and provides guidelines for wind load calculations based on the Telecommunications Industry Association Standard 222 Revision G (TIA-222-G). The isotruss, a lightweight lattice structure made from advanced composite materials, is analyzed using ABAQUS finite element software. Two 10 m 8-node SSITTs, using carbon/epoxy as the material, were modeled. The results show that the maximum displacements of 45.17 mm (Model 1) and 47.29 mm (Model 2) at the top are within acceptable limits, while the maximum stresses of 135.6 MPa (Model 1) and 198.9 MPa (Model 2) are below the material’s limit of 306 MPa. The study found that the longitudinal member experiences the highest stress levels, which may lead to buckling. To improve performance and durability, it is recommended that the longitudinal member be designed with a larger radius than the helical member.Öğe A different perspective solitons on sasakian manifolds admitting general connection(Univerzita Komenskeho, 2025) Mert, T.; Atçeken, Mehmet; Siddiqi M.D.In this study, we investigate the geometry of Sasakian manifolds that admit a general connection by means of special curvature conditions. We combine η-Ricci-Yamabe solitons with some special curvature conditions such as the projective and W1-curvature tensors, and obtain important characterizations of the Sasakian manifold. Furthermore, we present important results for Sasakian manifolds concerning different connections such as Tanaka-Webster, Schouten-Van Kampen, and Zamkovoy. © 2025, Comenius University in Bratislava. All rights reserved.Öğe On iteration method to the solution of more general volterra ıntegral equation in two variablesand a data dependence result(Manisa Celal Bayar Üniversitesi Fen Bilimleri Enstitüsü, 2021) Maldar, SametFixed point theory is one of the most important theories and has been studied extensively by researchers in many disciplines. One of these studies is its application to integral equations. In this work, we have shown that the iteration method given in [12] converges to the solution of the more general Volterra integral equation in two variables by using Bielecki’s norm. Also, a data dependence result for the solution of this integral equation has been proven.Öğe Special ruled surface in de-sitter 3-space(Fuat USTA, 2021) Mert, Tuğba; Atçeken, MehmetIn this paper, timelike base curve and spacelike main geodesic with the timelike ruled surface are studied, which is a special class of ruled surface in de-Sitter space S 3 1 . A ruled surface in the de-Sitter space S 3 1 is obtained by moving a geodesic along a curve. So we will call these surfaces in the de-Sitter space as the geodesic ruled surface. Developable ruled surface, striction point, striction curve, dispersion parameter, and orthogonal trajectory concepts are investigated for the obtained geodesic ruled surface.Öğe New exact solutions of conformable time-fractional bad and good modified boussinesq equations(Naim Çağman, 2021) Öztürk, Zafer; Sorgun, Sezer; Bilgil, Halis; Erdinç, ÜmmügülsümThe new exact solutions of the conformable time-fractional Bad and Good modified Boussinesq equations are obtained using the Exp-function method, which is different from previous literature works. These equations play a significant role in mathematical physics, engineering sciences and applied mathematics. Plentiful exact solutions with arbitrary parameters are effectively obtained by the method. The obtained solutions are shown graphically. It is shown that the Exp-function method provides a simpler but more effective mathematical tool for constructing exact solutions of non-linear evolution equations.Öğe An examination of data dependence for jungck-type ıteration method(Munise Didem Demirbaş, 2020) Maldar, SametIteration methods are an important field of study in fixed point theory and have an extensive literature. Different types of iteration methods were defined in many spaces by researchers, and the results such as convergence, rate of convergence, stability and data dependence of these methods were examined. In this study, a new iteration method of Jungck Type was defined and the convergence of this method for a certain mapping class was investigated. Then, using this mapping class for this iteration method, the results of stability and data dependence were obtained. Additionally, the rate of convergence of the newly defined iteration method with Jungck CR iteration method was compared under suitable conditions and an example supporting this result was given.Öğe Yaklaşık kosimplektik manifoldlar üzerinde η ricci solitonlar(Erzincan Binali Yıldırım Üniversitesi, Fen Bilimleri Enstitüsü, 2020) Yıldırım, MustafaBu çalışmanın amacı yaklaşık kosimplektik manifoldlar üzerinde η −Ricci solitonlar ele alınarak bazı eğrilik koşulları altında bu tür manifoldların yapısını incelemektir.Öğe Yeni bir iterasyon yöntemi için yakınsaklık hızı(Iğdır Üniversitesi, 2020) Maldar, SametBu çalışmada yeni bir iterasyon yöntemi tanımlanmıştır. Bu iterasyon yönteminin Banach uzaylarında uygun koşullar altında yakınsaklığı incelenmiştir ve başka bir iterasyon yöntemiyle yakınsama anlamında denk olduğu gösterilmiştir. Son olarak yeni iterasyon yönteminin literatürdeki mevcut bir iterasyon yöntemine göre daha iyi bir yakınsama hızına sahip olduğu ispatlanarak bu sonucu destekleyen bir örnek verilmiştir.Öğe Exact Solutions of Rosenzweig-Macarthur (RM) Model Equations by Using Exp Function Method(Osman Sağdıç, 2019) Öztürk, Zafer; Bilgil, HalisHe’s exp function method aims to finding exact solutions of nonlinear evolution equations in mathematical physics. The exactsolutions of the Rosenzweig-MacArthur (RM) model equations is obtain by using the exp-function method. The method is by transformation used to construct solitary and soliton solutions of nonlinear evolution equations. The free parameters in the obtained generalized solutions might imply some meaningful results in physical process.Öğe Gaussian (𝒔, 𝒕)-Pell and Pell-Lucas Sequences and Their Matrix Representations(Bitlis Eren Üniversitesi Rektörlüğü, 2019) Karaaslan, Nusret; Yağmur, TülayIn this study, the Gaussian (𝑠,𝑡)-Pell and Pell-Lucas sequences are defined. Moreover, by using these sequences,the Gaussian (𝑠,𝑡)-Pell and Pell-Lucas matrix sequences are defined. Furthermore, generating functions, Binet’sformulas and some summation formulas of these sequences are given. Finally, some relationships betweenGaussian (𝑠,𝑡)-Pell and Pell-Lucas matrix sequences are obtained.Öğe (s, t)-Modified Pell Sequence and Its Matrix Representation(Erzincan Binali Yıldırım Üniversitesi, Fen Bilimleri Enstitüsü, 2019) Karaaslan, Nusret; Yağmur, TülayIn this paper, we investigate a generalization of modified Pell sequence, which is called (𝑠, 𝑡)-modified Pell sequence. By considering this sequence, we define the matrix sequence whose elements are (𝑠, 𝑡)-modified Pell numbers. Furthermore, we obtain Binet formulas, the generating functions and some sums formulas of these sequences. Finally, we give some relationships between (𝑠, 𝑡)-Pell and (𝑠, 𝑡)-modified Pell matrix sequences.Öğe İteratif Yaklaşım Altında Bir Fonksiyonel-İntegral Denklem Sınıfının Çözümünün İncelenmesi(Iğdır Üniversitesi, 2019) Atalan, YunusBu çalışmada üç adımlı bir sabit nokta iterasyon algoritması kullanılarak fonksiyonel-integraldenklem sınıfının çözümüne ulaşılabildiği gösterilmiştir. Ayrıca bu integral denklem için veri bağlılığısonucu elde edilmiş olup, bu sonucu destekleyen bir örnek verilmiştir.Öğe Local T2 Constant Filter Convergence Spaces(Matematikçiler Derneği, 2018) Erciyeş, Kayhan; Baran, Tesnim MeryemThe aim of this paper is to characterize local Hausdorff constant filter convergence spaces and showthat they are hereditary, productive and coproductive.Öğe Semi-Symmetric Lorentz-Sasakian Space Forms and Some Special Curvature Tensors(Southeast Asian Mathematical Society, 2025) Mert, Tuğba; Atçeken, Mehmet; Uygun, PakizeIn this article, the concept of semi-symmetry for Lorentz-Sasakian space forms on some W-curvature tensors is investigated. Firstly, flatness and xi-flatness states of some W-curvature tensors are investigated. Then, characterization of Lorentz-Sasakian space forms in case of semi-symmetry is obtained for the W-curvature tensors considered.Öğe A counterexample to Elaydi’s conjecture(Eskişehir Teknik Üniversitesi, 2025) Alper, Güvey İsmailIn this work, we define a chaotic map that contradicts Elaydi’s conjecture. Firstly, we present some important concepts used in this paper and define a continuous map f on [0,2], which is connected according to the usual topology on R. Moreover, we show that f is chaotic on [0,2] by using topological conjugacy with the ‘tent map’. Finally, we conclude that f^2=f∘f is not chaotic on [0,2]. In addition, this example also shows that topological transitivity does not imply total transitivity.Öğe Fractional integral inequalities for s-convex functions in the first sense(Taylor and Francis Ltd., 2025) Tınaztepe, Gültekin; Yeşilce Işık, İlknurCertain fractional integral inequalities via general fractional integral operator are presented for s-convex functions in the first sense. Also, they are restated in terms of the Riemann-Liouville and Hadamard fractional integrals and illustrated.Öğe Separation and connectedness in the category of constant filter convergence spaces(University of Nis, 2025) Erciyes, Ayhan; Baran, Tesnim MeryemThe purpose of this work is to introduce two notions of closure in the category ConFCO of constant filter convergence spaces with continuous maps and investigate whether they satisfy the idempotency, productivity, (weak) hereditariness, and (full) additiveness as well as examine how they are related to each other. Moreover, we characterize each of Ti, i = 1, 2 spaces with respect to these closures and examine epimorphisms in the subcategories of ConFCO. Furthermore, we give the characterization of connected constant filter convergence spaces and investigate some invariance properties of them. Finally, we compare our results with results in some other topological categories.Öğe Applications of the Tachibana operator on invariant submanifolds of Lorentzian Trans-Sasakian manifolds(University of Nis, 2025) Atçeken, Mehmet; Mert, Tuğba; Stanković, Mića S....Öğe New insights on pseudoparallel submanifold in trans Sasakian manifolds(University of Nis, 2025) Atçeken, Mehmet; Mert, Tuğba; Uygun, Pakize; Stanković, Mića S.The aim of the present paper is to study invariant pseudo-parallel submanifolds of a trans Sasakian manifold. We have searched the necessary and sufficient conditions for an invariant pesudo-parallel submanifold to be totally geodesic under the some conditions.Öğe Novel escape criteria for complex-valued hyperbolic functions through a fixed point iteration method(American Institute of Mathematical Sciences, 2025) Şahan, Tunçar; Atalan, YunusThis study presented an efficient fixed-point iteration method for deriving novel escape criteria for hyperbolic sine and hyperbolic cosine functions of varying degrees. The method contributes to obtaining more accurate and effective escape criteria, thereby enhancing the mathematical understanding and computational analysis of these functions. Additionally, using the derived criteria, the iteration method was employed to generate visually appealing fractals for Julia and Mandelbrot sets, demonstrating significant advantages in computational speed and practical utility. The method’s effective performance in producing complex and aesthetically satisfying fractal structures highlights its efficiency and applicability in fractal generation.
