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Taş, Kenan

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Profile URL
https://hdl.handle.net/20.500.12416/8919
Name Variants
Tas, Kenan
Kenan, Taş
Tas, K
Job Title
Prof. Dr.
Email Address
kenan@cankaya.edu.tr
Main Affiliation
02.02. Matematik
Matematik
02. Fen-Edebiyat Fakültesi
01. Çankaya Üniversitesi
Status
Former Staff
Website
ORCID ID
Scopus Author ID
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID

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Scholarly Output

79

Articles

73

Views / Downloads

7043/4052

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

577

Scopus Citation Count

585

WoS h-index

12

Scopus h-index

13

Patents

0

Projects

0

WoS Citations per Publication

7.30

Scopus Citations per Publication

7.41

Open Access Source

44

Supervised Theses

0

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JournalCount
Journal of Inequalities and Applications8
Turkish Journal of Mathematics5
Integral Transforms and Special Functions5
Abstract and Applied Analysis4
Journal of Applied Mathematics4
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Now showing 1 - 10 of 79
  • Thumbnail Image
    Article
    On Singular Fifth-Order Boundary Value Problems With Deficiency Indices (5, 5)
    (Math Soc Serbia-drustvo Matematicara Srbije, 2022) Uğurlu, Ekin; Ugurlu, Ekin; Tas, Kenan; Taş, Kenan; Matematik
    This paper is devoted to introduce a way of construction of the well-defined boundary conditions for the solutions of a singular fifth-order equation with deficiency indices (5, 5). Imposing suitable separated and coupled boundary conditions some properties of the eigenvalues of the problems have been investigated.
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    Article
    On the solutions of a fractional boundary value problem
    (2018) Uğurlu, Ekin; Baleanu, Dumitru; Taş, Kenan
    This paper is devoted to showing the existence and uniqueness of solution of a regular second-order nonlinear fractional differential equation subject to the ordinary boundary conditions. The Banach fixed point theorem is used to prove the results.
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    Article
    Citation - WoS: 6
    Citation - Scopus: 6
    On Square Integrable Solutions of a Fractional Differential Equation
    (Elsevier Science inc, 2018) Ugurlu, Ekin; Baleanu, Dumitru; Tas, Kenan
    In this paper we construct the Weyl-Titchmarsh theory for the fractional Sturm-Liouville equation. For this purpose we used the Caputo and Riemann-Liouville fractional operators having the order is between zero and one. (C) 2018 Elsevier Inc. All rights reserved.
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    Article
    Citation - WoS: 3
    Citation - Scopus: 3
    On the Characteristic Functions and Dirchlet-Integrable Solutions of Singular Left-Definite Hamiltonian Systems
    (Taylor & Francis Ltd, 2024) Ugurlu, Ekin; Bairamov, Elgiz; Tas, Kenan
    In this work, a singular left-definite Hamiltonian system is considered and the characteristic-matrix theory for this Hamiltonian system is constructed. Using the results of this theory we introduce a lower bound for the number of Dirichlet-integrable solutions. Moreover we share a relation between the kernel of the solution of the nonhomogeneous boundary value problem and the characteristic-matrix.
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    Article
    On a Fifth-Order Nonselfadjoint Boundary Value Problem
    (Tubitak Scientific & Technological Research Council Turkey, 2021) Ugurlu, Ekin; Tas, Kenan
    In this paper we aim to share a way to impose some nonselfadjoint boundary conditions for the solutions of a formally symmetric fifth-order differential equation. Constructing a dissipative operator related with the problem we obtain some informations on spectral properties of the problem. In particular, using coordinate-free approach we construct characteristic matrix-function related with the contraction which is obtained with the aid of the dissipative operator. In this paper we aim to share a way to impose some nonselfadjoint boundary conditions for the solutions of a formally symmetric fifth-order differential equation. Constructing a dissipative operator related with the problem we obtain some informations on spectral properties of the problem. In particular, using coordinate-free approach we construct characteristic matrix-function related with the contraction which is obtained with the aid of the dissipative
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    Article
    Citation - WoS: 6
    Citation - Scopus: 14
    Generalized Diamond-Α Dynamic Opial Inequalities
    (Springer, 2012) Lesaja, Goran; Tas, Kenan; Atasever, Nuriye; Kaymakcalan, Billur
    We establish some new dynamic Opial-type diamond alpha inequalities in time scales. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type. Also, we introduce an example to illustrate our result.
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    Article
    Coupled Fixed Points in Complex Partial Metric Spaces
    (int Scientific Research Publications, 2022) Khan, M. S.; Singh, Y. Mahendra; Tas, Kenan; Gunaseelan, M.
    In this paper, we obtain coupled fixed point theorems in complex partial metric spaces under the different contractive conditions. Examples are provided to support our results.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Fractional Differential Equation With a Complex Potential
    (Univ Nis, Fac Sci Math, 2020) Ugurlu, Ekin; Tas, Kenan; Baleanu, Dumitru
    In this manuscript, we discuss the square-integrable property of a fractional differential equation having a complex-valued potential function and we show that at least one of the linearly independent solutions of the fractional differential equation must be squarely integrable with respect to some function containing the imaginary parts of the spectral parameter and the potential function.
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    Article
    Citation - WoS: 7
    Citation - Scopus: 13
    Approximate Controllability of Infinite-Dimensional Degenerate Fractional Order Systems in the Sectorial Case
    (Mdpi, 2019) Gordievskikh, Dmitriy M.; Tas, Kenan; Baleanu, Dumitru; Fedorov, Vladimir E.
    We consider a class of linear inhomogeneous equations in a Banach space not solvable with respect to the fractional Caputo derivative. Such equations are called degenerate. We study the case of the existence of a resolving operators family for the respective homogeneous equation, which is an analytic in a sector. The existence of a unique solution of the Cauchy problem and of the Showalter-Sidorov problem to the inhomogeneous degenerate equation is proved. We also derive the form of the solution. The approximate controllability of infinite-dimensional control systems, described by the equations of the considered class, is researched. An approximate controllability criterion for the degenerate fractional order control system is obtained. The criterion is illustrated by the application to a system, which is described by an initial-boundary value problem for a partial differential equation, not solvable with respect to the time-fractional derivative. As a corollary of general results, an approximate controllability criterion is obtained for the degenerate fractional order control system with a finite-dimensional input.
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    Article
    Citation - WoS: 3
    Citation - Scopus: 3
    Quadruple Fixed Point Theorems for Nonlinear Contractions on Partial Metric Spaces
    (Univ Politecnica Valencia, Editorial Upv, 2014) Karapinar, Erdal; Tas, Kenan
    The notion of coupled fixed point was introduced by Guo and Laksmikantham [12]. Later Gnana Bhaskar and Lakshmikantham in [11] investigated the coupled fixed points in the setting of partially ordered set by defining the notion of mixed monotone property. Very recently, the concept of tripled fixed point was introduced by Berinde and Borcut [7]. Following this trend, Karapmar[19] defined the quadruple fixed point. In this manuscript, quadruple fixed point is discussed and some new fixed point theorems are obtained on partial metric spaces.