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Öğe Symmetry solution on fractional equation(2017) İskandarova, Gülistan; Kaya, DoğanAs we know nearly all physical, chemical, and biological processes in naturecan be described or modeled by dint of a differential equation or a system ofdifferential equations, an integral equation or an integro-differential equation.The differential equations can be ordinary or partial, linear or nonlinear. So,we concentrate our attention in problem that can be presented in terms of adifferential equation with fractional derivative. Our research in this work is touse symmetry transformation method and its analysis to search exact solutionsto nonlinear fractional partial differential equations.Öğe Statistical convergence of matrix sequences(Prof. Dr. Mehmet Zeki SARIKAYA, 2024) Nuray Yıldırım, ElifThis paper extends the statistical convergence of real or complex numbers to the real square matrices sequences. In this context, we investigate the relation between the statistical convergence, statistical Cauchy condition, strong Cesáro summability of matrices sequences. This leads us to an initial analysis of the Tauberian conditions for the statistical convergence of matrix sequences.Öğe Dynamic behavior of shafts, couplings and working body of the machine under torsional impact moment(Shahid Chamran University of Ahvaz, 2024) Khalilov, Isa Ali; Sofiyev, Abdullah H.In this study, the influence of the torsional rigidity of the connected shafts, couplings and the working body of the machine, as well as the damping capacity of the coupling, on the torsional impact moment generated in the machine transmission is investigated. Unlike existing classical calculation models, the torsional stiffness of the connected shafts, the torsional damping ability of the coupling and the effects of the moment ratio are taken into consideration together. Under these conditions an analytical expression for the shock moment or resonance coefficient is obtained. The main novelties in obtaining of this expression are the ratio of the torsional stiffness of the connected shafts with the torsional stiffness of the coupling and the acceptance of the moment of resistance of the working body of the machine depending on the torsional stiffness. It has been found that the considered factors have a significant effect on the resonance zone. Finally, different and overlapping conditions are determined when determining the value of the resonance coefficient characterizing the torque impact moment, calculated according to the classical and proposed models.Öğe Operators ideals of generalized modular spaces of Cesaro type defined by weighted means(Eudoxus Press, Llc, 2015) Şimşek, Necip; Karakaya, Vatan; Polat, HarunIn this work, we investigate the ideal of all bounded linear operators between any arbitrary Banach spaces whose sequence of approximation numbers belong to the generalized modular spaces of Cesaro type defined by weighted means. Also, we show that the completeness of obtained operator ideals.Öğe New type of almost convergence(Univ Nis, 2021) Yıldırım, Elif NurayIn [1] for a given sequence (lambda(n)) with lambda(n) < lambda(n+1) -> infinity a new summability method C-lambda was introduced which generalizes the classical Cesaro method. In this paper, we introduce some new almost convergence and almost statistical convergence definitions for sequences which generalize the classical almost convergence and almost statistical convergence.Öğe Neutrosophic normed spaces and statistical convergence(Springer, 2020) Kirişçi, Murat; Şimşek, NecipWe define the neutrosophic normed space and the statistical convergence in neutrosophic normed space. We give the statistically Cauchy sequence in neutrosophic normed space and present the statistically completeness in connection with a neutrosophic normed space.Öğe Reproducing kernel method for the solutions of non-linear partial differential equations(Taylor & Francis, 2021) Nuray Yıldırım, Elif; Akgül, Ali; İnç, MustafaIn modeling of a lots of complex physical problems and engineering process, the non-linear partial differential equations have a very important role. Development of dependable and effective methods to solve such types equations are constructed. In the suggested technique, reproducing kernel method is examined to approximate the solutions together with reproducing kernel functions. In order to demonstrate accuracy, the performance and reliability of the proposed method, the results of the experiments and the available results are compared. There is high stability for a higher degree of accuracy between the solutions.Öğe Reproducing kernel functions and homogenizing transforms(Vinča Institute of Nuclear Sciences, 2021) Nuray Yıldırım, Elif; Akgül, Ali; İnç, Mustafatheir initial and boundary conditions. Especially higher order differential equations play a vital role in this process. The method for solution and its effectiveness are as important as the modelling. In this paper, on the basis of reproducing kernel theory, the reproducing kernel functions have been obtained for solving some non-linear higher order differential equations. Additionally, for each problem the homogenizing transforms have been obtained.Öğe On solutions of a higher order nonhomogeneous ordinary differential equation(Fuat Usta, 2020) Nuray Yıldırım, Elif; Akgül, AliHigher order differential equations (ODE) has an important role in the modelling process. It is also much significant which the method is used for the solution. In this study, in order to get the approximate solution of a nonhomogeneous initial value problem, reproducing kernel Hilbert space method is used. Reproducing kernel functions have been obtained and the given problem transformed to the homogeneous form. The results have been presented with the graphics. Absolute errors and relative errors have been given in the tables.Öğe Quasiconformal harmonic mappings related to starlike functions(Eudoxus Press, LLC, 2014) Polatoğlu, Yaşar; Yavuz Duman, Emel ; Kahramaner, Yasemin; Aydoğan, MelikeLet (formula presented.) be a univalent sense-preserving harmonic mapping of the unit disc D = {z ∈ C||z| < 1}. If f satisfies the condition (formula presented.), then f is called k−quasiconformal harmonic mapping in D. The aim of this paper is to investigate a subclass of k−quasiconformal harmonic mappings.Öğe Several Hardy-type inequalities with weights related to Baouendi–Grushin operators(Tübitak, 2018) Yener, AbdullahIn this paper we shall prove several weighted Lp Hardy-type inequalities associated to the Baouendi–Grushintype operators.
