Now showing items 1-20 of 135

    • An Algorithm for the solution of second order Fuzzy Initial Value Problem 

      Akın, Ömer; Khaniyev, Tahir; Oruc, O.; Türkşen, İ. B. (Pergamon-Elsevier Science Ltd, 2013-01)
      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 reaction-diffusion model 

      Kayan, S.; Merdan, Hüseyin (Springer, 2017-07)
      We present an algorithm for determining the existence of a Hopf bifurcation of a system of delayed reaction-diffusion 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 

      Gölgeli, Meltem; Atay, F. M. (Hacettepe Journal of Mathematics and Statistics, 2020-06)
      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 

      Hopkins, Tim; Kılıç, Emrah (Elsevier B. V., 2018-06-01)
      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 max-min operators: A general theory and its applications 

      Gökçer, Yeliz Türkan; Duman, Oktay (Elsevier B.V., 2020-09-01)
      In this study, we obtain a general approximation theorem for max-min operators including many significant applications. We also study the error estimation in this approximation by using Hölder continuous functions. The ...
    • Approximation by nonlinear integral operators via summability process 

      Aslan, İsmail; Duman, Oktay (Wiley-VCH Verlag, 2020-03)
      In this paper, we study the approximation properties of nonlinear integral operators of convolution-type by using summability process. In the approximation, we investigate the convergence with respect to both the variation ...
    • Arithmeticity of holomorphic cuspforms on Hermitian symmetric domains 

      Lanphier, Dominic; Ürtiş, Çetin (Academic Press Inc Elsevier Science, 2015-06)
      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 two-asset market system 

      Bulut, H.; Merdan, Hüseyin; Swigon, D. (American Institute of Physics Inc., 2019-02)
      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 

      Kılıç, Emrah; Prodinger, Helmut (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 LU-decompositions, their inverses, and the inverse matrix. The approach is ...
    • A nonlinear generalization of the Filbert matrix and its Lucas analogue 

      Kılıç, Emrah; Arıkan, Talha (Taylor and Francis Ltd., 2019-01)
      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 Tumor-immune System Interaction Model Involving Time Delay 

      Kayan, S.; Merdan, Hüseyin; Yafia, R.; Goktepe, S. (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 Single-Group Asset Flow Model 

      Merdan, Hüseyin; Caginalp, G.; Troy, W. C. (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 Predator-Prey Model with Mixed Functional Responses 

      Yafia, R.; Aziz-Alaoui, M. A.; Merdan, Hüseyin; Tewa, J. J. (World Scientific Publishing Co. Pte Ltd, 2015-06)
      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. ...
    • Bounds on the expected value of maximum loss of fractional Brownian motion 

      Vardar-Acar, Ceren; Bulut, Hatice (Elsevier B.V., 2015-09)
      It has been theoretically proven through present study that the expected value of maximum loss of fractional Brownian motion up to fixed time t with Hurst parameter [1/2, 1) is bounded above by tH??/2 and below by tH/2. ...
    • Characterisation and enumeration of a class of semi-bent quadratic Boolean functions 

      Koçak, Neşe; Koçak, Onur; Özbudak, Ferruh; Saygı, Zülfükar (Inderscience Online, 2015)
      In this paper, we consider semi-bentness of quadratic Boolean functions defined for even n and give the characterisation of these functions. Up to our knowledge, semi-bentness of this class has not been investigated before ...
    • A class of non-symmetric band determinants with the Gaussian q-binomialcoefficients 

      Arikan, Talha; Kılıç, Emrah (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 non-symmetric band matrices with the Gaussian q-binomial coefficients whose upper ...
    • Closed Form Evaluation Of Melham's Reciprocal Sums 

      Kılıç, Emrah; Prodinger, H. (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 straight-forward and simple. First we ...
    • Closed form evaluation of restricted sums containing squares of Fibonomial coefficients 

      Kılıç, Emrah; Prodinger, Helmut (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 

      Kılıç, Emrah; Prodinger, Helmut (De Gruyter Open Ltd, 2016-06)
      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 

      Aksoylu, Burak; Çeliker, Fatih (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 ...