Browsing Matematik Bölümü Koleksiyonu by Title
Now showing items 1-20 of 28
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An application of Chebyshev wavelet method for the nonlinear time fractional Schrodinger equation
(Wiley, 2022)In the present manuscript, we will deal with time fractional Schrodinger equation having appropriate initial and boundary conditions with Chebyshev wavelet method numerically. The Chebyshev wavelet method will be utilized ... -
Certain subclasses of spirallike univalent functions related with generalized distribution series
(Springer Heidelberg, 2022)The purpose of the this paper is to find the sufficient conditions for the subclasses of analytic functions associated with generalized distribution to be in subclasses of spirallike univalent functions. Further, we consider ... -
A combination of Lie group-based high order geometric integrator and delta-shaped basis functions for solving Korteweg-de Vries (KdV) equation
(World Scientific Publication, 2021)In this work, we develop a novel method to obtain numerical solution of well-known Korteweg-de Vries (KdV) equation. In the novel method, we generate differentiation matrices for spatial derivatives of the KdV equation by ... -
Complete lifts of projectable linear connection to semi-tangent bundle
(The Honam Mathematical Society, 2021)We study the complete lifts of projectable linear connection for semi-tangent bundle. The aim of this study is to establish relations between these and complete lift already known. In addition, the relations between in ... -
Dynnikov coordinates on punctured torus
(Scientific Technical Research Council Turkey-TUBITAK, 2021)We generalize the Dynnikov coordinate system previously defined on the standard punctured disk to an orientable surface of genus-1 with n punctures and one boundary component -
Generalized operator for Alexander integral operator
(Sciendo, 2020)LetTnbe the class of functionsfwhich are defined by apower seriesf(z) =z+an+1zn+1+an+2zn+2+...for everyzin the closed unit discU.Withmdifferent boundary pointszs,(s=1,2,...,m),we considerαm∈eiβA−j−λf(U),hereA−j−λis ... -
Geometric properties of the Miller-Ross functions
(Springer International Publishing AG, 2022)In the present paper, our aim is to study geometric properties of normalized Miller-Ross functions. For this purpose, we determined sufficient conditions for univalency, close-to-convexity, convexity and starlikeness of ... -
Local existence and blow-up of solutions for coupled viscoelastic wave equations with degenerate damping terms
(Serbian Society of Mechanics, 2020)In this paper, we investigate a nonlinear system of viscoelastic equations with degenerate damping and source terms in a bounded domain. Under appropriate assumptions on the parameters, degenerate damping terms and the ... -
A local radial basis function-finite difference (RBF-FD) method for solving 1D and 2D coupled Schrödinger-Boussinesq (SBq) equations
(Elsevier, 2021)In this study, one-dimensional (1D) and two-dimensional (2D) coupled Schrodinger-Boussinesq (SBq) equations are examined numerically. A local meshless method based on radial basis function-finite difference (RBF-FD) method ... -
Mathematical behaviour of solutions of the Kirchhoff type equation with logarithmic nonlinearity
(American Institute of Physics Inc., 2019)In this work, we consider the Kirchhoff type equation with logarithmic nonlinearity. We obtain the global existence of the solutions by using the potential well method. -
New applications of the Bernardi integral operator
(MDPI AG, 2020)Let A(p, n) be the class of f (z) which are analytic p-valent functions in the closed unit disk U = {z ∈ C: |z| ≤ 1}. The expression B-m-λf(z) is defined by using fractional integrals of order l for f (z) ∈ A(p, n). When ... -
New extension of Alexander and Libera integral operators
(Scientific Technical Research Council Turkey-TUBITAK, 2022)Let T be the class of analytic functions in the open unit disc U with f (0) = 0 and f'(0) = 1. For f(z) is an element of T, the Alexander integral operator A(-1)f(z), the Libera integral operator L(-1)f(z) and the Bernardi ... -
New subclasses of Bi-univalent functions of complex order associated with hypergeometric functions
(Turkic World Mathematical Society, 2021)In the present paper, new subclasses of bi-univalent functions of complex order associated with hypergeometric functions are introduced and coefficient estimates for functions in these classes are obtained. Several new (or ... -
A norm inequality for functions of Lp(.)(Ω) spaces
(Academic Publications Ltd., 2020)We prove an inequality in Lp(.)(Ω) that give a relation between norm of function and norm of function restriction to a partition of domain. -
Normalized dini functions connected with k-Uniformly convex and k-Starlike functions
(Korean Soc Computational & Applied Mathematics-KSCAM, 2021)The purpose of the present paper is to give sufficient conditions for normalized Dini function which is the special combination of the generalized Bessel function of first kind to be in the classes k-starlike functions and ... -
Numerical simulation of two-dimensional and three-dimensional generalized Klein-Gordon-Zakharov equations with power law nonlinearity via a meshless collocation method based on barycentric rational interpolation
(Wiley, 2022)This study presents numerical simulations of generalized two-dimensional (2D) and three-dimensional (3D) Klein-Gordon-Zakharov (KGZ) equations with power law nonlinearity, which are coupled nonlinear partial differential ... -
On certain subclasses of starlike and convex functions associated with Pascal distribution series
(TUBITAK, 2020)In this article, we introduced a new power series whose coefficients are probabilities of the Pascal distribution. We investigated new approaches between the Pascal distribution series and some subclasses of normalized ... -
On lambda-pseudo bi-starlike functions with respect to symmetric points associated to shell-like curves
(University of Kragujevac - Faculty of Science, 2021)In this paper we define a new subclass lambda-pseudo bi-starlike functions with respect to symmetric points of Sigma related to shell-like curves connected with Fibonacci numbers and determine the initial Taylor-Maclaurin ... -
On strongly Ozaki bi-close-to-convex functions
(TUBITAK, 2019)In this paper, we introduce and investigate a new subclass of strongly Ozaki bi-close-to-convex functions in the open unit disk. We have also found estimates for the first two Taylor-Maclaurin coefficients for functions ... -
On subclasses of bi-convex functions defined by Tremblay fractional derivative operator
(Babes-Bolyai University, 2019)We introduce and investigate new subclasses of analytic and biunivalent functions defined by modified Tremblay operator in the open unit disk. Also we obtain upper bounds for the coefficients of functions belonging to these ...
