Toplam kayıt 70, listelenen: 39-58

    • On a class of Ricci quadratic Finsler metrics 

      Gabrani, Mehran; Şengelen Sevim, Esra; Ülgen, Semail (2024)
      In this paper, we study a class of Finsler warped product metrics with quadratic Ricci curvature. This class is characterized by a partial differential equation. In particular, we obtain a special class of Finsler warped ...
    • On a class of Ricci quadratic Finsler metrics 

      Gabrani, Mehran; Sengelen Sevim, Esra; Ülgen, Semail (4th International Conference on Applied Engineering and Natural Sciences, 2022)
      In this paper, we study a class of Finsler warped product metrics with quadratic Ricci curvature. This class is characterized by a partial differential equation. In particular, we obtain a special class of Finsler warped ...
    • On a non-Riemannian quantity of (α, β)-metrics 

      Ülgen, Semail (Sigma Journal of Engineering and Natural Sciences, 2022)
      In this paper, we study a non-Riemannian quantity χ-curvature of (α, β)-metrics, a special class of Finsler metrics with Riemannian metric α and a 1-form β. We prove that every (α, β)-metric has a vanishing χ-curvature ...
    • On conformal curves in 2-dimensional de sitter space 

      Şimşek, Hakan; Özdemir, Mustafa (Advances in Applied Clifford Algebras, 2016)
      In this paper, we examine the pseudo-spherical curves, which are equivalent to each other under the conformal maps preserving a fixed point in the de Sitter 2-space, by using the Clifford algebra Cl 2,1. Also, we find the ...
    • On Einstein Finsler metrics 

      Ülgen, Semail; Sevim, Esra Sengelen; Hacinliyan, İrma (World Scientific Publishing Company, 2021)
      In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, a 1-form, and its norm and find equations with sufficient conditions for such Finsler metrics to become Ricci-flat. Using certain ...
    • On focal curves of null Cartan curves 

      Şimşek, Hakan (Turkish Journal of Mathematics, 2017)
      The focal curve, which is determined as the locus of centers of osculating pseudo-spheres of a null Cartan curve, is investigated in Minkowski (n+2)-space Mn+2. Moreover, a curve called acceleration focal curve of a null ...
    • On Ricci-quadratic Finsler metrics 

      Sengelen Sevim, Esra; Shen, Zhongmin; Ülgen, Semail (4th International Conference on Applied Engineering and Natural Sciences, 2022)
      In this paper, the Ricci curvature is defined for sprays on a manifold and every spray with a volume form on a manifold can be deformed to a projective spray. The quadratic Ricci curvature of a projective spray is called ...
    • On some Ricci curvature tensors in Finsler geometry 

      Sengelen Sevim, Esra; Shen, Zhongmin; Ülgen, Semail (4th International Conference on Applied Engineering and Natural Sciences, 2022)
      In this paper we discuss several Ricci curvature tensors and their relationship with the Ricci curvature and some non-Riemannian quantities. By these Ricci curvature tensors, we shall have a better understanding on the ...
    • On strongly Ricci-quadratic finsler metrics 

      Şengelen Sevim, Esra; Shen, Zhongmin; Ülgen, Semail (Springer, 2023)
      Finsler metrics being Ricci-quadratic is a non-Riemannian condition since the Ricci curvature (tensor) is always Ricci-quadratic for Riemannian metrics. In this paper, we introduce the notion of strongly Ricci-quadratic ...
    • On the eigenvalues and eigenvectors of a lorentzian rotation matrix by using split quaternions 

      Özdemir, Mustafa; Erdoğdu, Melek; Şimşek, Hakan (Advances in Applied Clifford Algebras, 2014)
      In this paper, we examine eigenvalue problem of a rotation matrix in Minkowski 3 space by using split quaternions. We express the eigenvalues and the eigenvectors of a rotation matrix in term of the coefficients of the ...
    • Optimizing bus lines using genetic algorithm for public transportation 

      Batuhan, Bulut; Günay, Melih; Özgün, Kamer; Ledet, Joseph (The 6th International Conference on Smart City Applications, 2021)
      Due to increasing human population, the need for quality public transportation has also increased. This study takes stop density, stop layout, and passenger population of those stops into consideration to offer a better ...
    • Optimizing the liver/kidney organ donation waiting list in Antalya using maxsat and graph model 

      Ülgen, Semail; Yangın, Elifnaz (International Conference on Industrial Engineering and Operations Management, 2022)
      Organ transplantation has become an increasing need in the world and in our country. Organ transplantation is completed by taking healthy and matched organs from living or cadaver donors and transplanting them to the ...
    • A pilot study of ion current estimation by ANN from action potential waveforms 

      Şengül Ayan, Sevgi; Süleymanoğlu, Selim; Özdoğan, Hasan (Journal of Biological Physics, 2022)
      Experiments using conventional experimental approaches to capture the dynamics of ion channels are not always feasible, and even when possible and feasible, some can be timeconsuming. In this work, the ionic current–time ...
    • The quality properties of integral type problems for wave equations and applications 

      Shakhmurov, Veli; Shahmurov, Rishad (Journal of Applied Mathematics and Physics, 2022)
      In this paper, the integral problem for linear and nonlinear wave equations is studied. The equation involves abstract operator A in Hilbert space H. Here, assuming enough smoothness on the initial data and the operators, ...
    • Quality properties of linear and nonlinear abstract Schrödinger equations and applications 

      Shakhmurov, Veli (4. International Palandöken Scientific Studies Congress, 2022)
      In this talk, we consider the integral problem for linear abstract Schrödinger equation and nonlinear abstract Schrˆdinger (NLAS) equation.
    • Quantitative roles of ion channel dynamics on ventricular action potential 

      Şengül Ayan, Sevgi; Sırcan, Ahmet Kürşad (Channels, 2021)
      Mathematical models for the action potential (AP) generation of the electrically excitable cells including the heart are involved different mechanisms including the voltage-dependent currents with nonlinear time- and ...
    • The regularity properties and blow-up of solutions for nonlocal wave equations and applications 

      Shakhmurov, Veli; Shahmurov, Rishad (Results in Mathematics, 2022)
      In this paper, the Cauchy problem for linear and nonlinear wave equations is studied.The equation involves an abstract operator A in a Hilbert space H and a convolution term. Here, assuming sufficient smoothness on the ...
    • The regularity properties and blow-up of the solutions for nonlocal general wave equations 

      Shakhmurov, Veli; Bayrak, Vural; Shahmurov, Rishad (Journal of Differential Equations, 2022)
      In this paper, the Cauchy problem for nonlocal linear and nonlinear wave equations are studied. The equations include the general differential operators. The existence, uniqueness, -regularity properties and blow-up at ...
    • Regularity properties of nonlocal fractional differential equations and applications 

      Shakhmurov, Veli (Georgian Mathematical Journal, 2022)
      The regularity properties of nonlocal fractional elliptic and parabolic equations in vector-valued Besov spaces are studied. The uniform Bsp,q -separability properties and sharp resolvent estimates are obtained for abstract ...
    • Rotations on a lightcone in minkowski 3-Space 

      Şimşek, Hakan; Özdemir, Mustafa (Advances in Applied Clifford Algebras, Springer, 2017)
      In this paper the generalization of the rotations on any lightcone in Minkowski 3-space ℝ1,2𝑔 is given. The rotation motion on the lightcone is examined by means of a bilinear form and Lorentzian notions. We use the ...