Browsing Matematik Bölümü / Department of Mathematics by Title
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An Algorithm for the solution of second order Fuzzy Initial Value Problem
(PergamonElsevier Science Ltd, 201301)In this paper, we state a fuzzy initial value problem of the second order fuzzy differential equations. Here we investigate problems with fuzzy coefficients, fuzzy initial values and fuzzy forcing functions. We ... 
An algorithm for Hopf bifurcation analysis of a delayed reactiondiffusion model
(Springer, 201707)We present an algorithm for determining the existence of a Hopf bifurcation of a system of delayed reactiondiffusion equations with the Neumann boundary conditions. The conditions on parameters of the system that a Hopf ... 
Analysis of an epidemic model for transmitted disease in two age classes
(Hacettepe Journal of Mathematics and Statistics, 202006)Infectious diseases are a serious problem for public health and spark the interest in interdisciplinary studies. In this paper, we present two mathematical models describing a possible scenario for infectious diseases. The ... 
An analytical approach: Explicit inverses of periodic tridiagonal matrices
(Elsevier B. V., 20180601)We derive an explicit formula for the inverse of a general, periodic, tridiagonal matrix. Our approach is to derive its LU factorization using backward continued fractions (BCF) which are an essential tool in number theory. ... 
Approximation by maxmin operators: A general theory and its applications
(Elsevier B.V., 20200901)In this study, we obtain a general approximation theorem for maxmin operators including many significant applications. We also study the error estimation in this approximation by using Hölder continuous functions. The ... 
Arithmeticity of holomorphic cuspforms on Hermitian symmetric domains
(Academic Press Inc Elsevier Science, 201506)We prove Galois equivariance of ratios of Petersson inner products of holomorphic cuspforms on symplectic, unitary, or Hermitian orthogonal groups. As a consequence, we show that the ratios of Petersson norms of such ... 
Asset price dynamics for a twoasset market system
(American Institute of Physics Inc., 201902)We present a mathematical model for a market involving two stocks which are traded within a single homogeneous group of investors who have similar motivations and strategies for trading. It is assumed that the market ... 
Asymmetric generalizations of the Filbert matrix and variants
(Mathematical Institute of the Serbian Academy of Sciences and Arts, 2014)Four generalizations of the Filbert matrix are considered; with additional asymmetric parameter settings. Explicit formula are derived for the LUdecompositions, their inverses, and the inverse matrix. The approach is ... 
A nonlinear generalization of the Filbert matrix and its Lucas analogue
(Taylor and Francis Ltd., 201901)In this paper, we present both a new generalization and an analogue of the Filbert matrix (Formula presented.) by the means of the Fibonacci and Lucas numbers whose indices are in nonlinear form (Formula presented.) for ... 
Bifurcation Analysis of a Modified Tumorimmune System Interaction Model Involving Time Delay
(EDP Sciences, 2017)We study stability and Hopf bifurcation analysis of a model that refers to the competition between the immune system and an aggressive host such as a tumor. The model which describes this competition is governed by a ... 
Bifurcation Analysis Of A SingleGroup Asset Flow Model
(American Mathematical Society, 2016)We study the stability and Hopf bifurcation analysis of an asset pricing model that is based on the model introduced by Caginalp and Balenovich, under the assumption of a fixed amount of cash and stock in the system. First, ... 
Bifurcation and Stability in a Delayed PredatorPrey Model with Mixed Functional Responses
(World Scientific Publishing Co. Pte Ltd, 201506)The model analyzed in this paper is based on the model set forth by Aziz Alaoui et al. [Aziz Alaoui & Daher Okiye, 2003; Nindjin et al., 2006] with time delay, which describes the competition between the predator and prey. ... 
Characterisation and enumeration of a class of semibent quadratic Boolean functions
(Inderscience Online, 2015)In this paper, we consider semibentness of quadratic Boolean functions defined for even n and give the characterisation of these functions. Up to our knowledge, semibentness of this class has not been investigated before ... 
A class of nonsymmetric band determinants with the Gaussian qbinomialcoefficients
(Taylor and Francis Ltd., 2017)A class of symmetric band matrices of bandwidth 2r+1 with the binomial coefficients entries was studied earlier. We consider a class of nonsymmetric band matrices with the Gaussian qbinomial coefficients whose upper ... 
Closed Form Evaluation Of Melham's Reciprocal Sums
(Univ Miskolc Inst Math, 2017)Recently Melham [1] gives closed formul ae for certain finite reciprocal sums. In this paper, we present a different approach to compute these sums in closed form. Our approach is straightforward and simple. First we ... 
Closed form evaluation of restricted sums containing squares of Fibonomial coefficients
(Politechnica University of Bucharest, 2016)We give a systematic approach to compute certain sums of squares Fibonomial coefficients with powers of generalized Fibonacci and Lucas numbers as coefficients; the range of the summation is not the natural one but about ... 
Closed form evaluation of sums containing squares of Fibonomial coefficients
(De Gruyter Open Ltd, 201606)We give a systematic approach to compute certain sums of squares of Fibonomial coefficients with finite products of generalized Fibonacci and Lucas numbers as coefficients. The technique is to rewrite everything in terms ... 
Comparison of Nonlocal Operators Utilizing Perturbation Analysis
(Springer Verlag, 2016)We present a comparative study of integral operators used in nonlocal problems. The size of nonlocality is determined by the parameter ?. The authors recently discovered a way to incorporate local boundary conditions into ... 
The concept of Hukuhara derivative and Aumann integral for intuitionistic fuzzy number valued functions
(Kyrgyz Turkish Manas UniversityKırgızistan Türkiye Manas Üniversitesi, 2018)In this paper we have rstly dened a metric based on the Hausdor metric in intuitionistic fuzzy environment and studied its properties. Then we have proved that the metric space of intuitionistic fuzzy number valued ... 
Conditioning analysis of nonlocal integral operators in fractional Sobolev spaces
(Society for Industrial and Applied Mathematics Publications, 201403)We study the conditioning of nonlocal integral operators with singular and integrable kernels in fractional Sobolev spaces. These operators are used, for instance, in peridynamics formulation and nonlocal diffusion. In one ...