Yantir, Ahmet
Loading...
Name Variants
Job Title
Doç.Dr.
Email Address
Main Affiliation
01.01.02.02. Matematik Bölümü
Status
Current Staff
Website
ORCID ID
Scopus Author ID
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID
Sustainable Development Goals
SDG data is not available
Documents
19
Citations
103
h-index
6
Documents
17
Citations
64
No records found in other affiliations.
Scholarly Output
12
Articles
9
Views / Downloads
0/0
Supervised MSc Theses
0
Supervised PhD Theses
0
WoS Citation Count
37
Scopus Citation Count
31
Patents
0
Projects
0
WoS Citations per Publication
3.08
Scopus Citations per Publication
2.58
Open Access Source
5
Supervised Theses
0
| Journal | Count |
|---|---|
| 6th International Conference on Computational Science (ICCS 2006) -- MAY 28-31, 2006 -- Reading, ENGLAND | 1 |
| Applied Mathematics & Information Sciences | 1 |
| Demonstratio Mathematica | 1 |
| Electronic Journal of Differential Equations | 1 |
| Filomat | 1 |
Current Page: 1 / 2
Scopus Quartile Distribution
Competency Cloud
12 results
Scholarly Output Search Results
Now showing 1 - 10 of 12
Article Citation - WoS: 2Citation - Scopus: 2Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces(De Gruyter Open Ltd peter.golla@degruyter.com, 2014-10-09) Ahmet Yantir; Ireneusz Kubiaczyk; Aneta Sikorska-Nowak; Yantir, Ahmet; Kubiaczyk, Ireneusz; Sikorska-Nowak, AnetaIn this paper we present the existence result for Carathéodory type solutions for the nonlinear Sturm- Liouville boundary value problem (SLBVP) in Banach spaces on an arbitrary time scale. For this purpose we introduce an equivalent integral operator to the SLBVP by means of Green's function on an appropriate set. By imposing the regularity conditions expressed in terms of Kuratowski measure of noncompactness we prove the existence of the fixed points of the equivalent integral operator. Mönch's fixed point theorem is used to prove the main result. Finally we also remark that it is straightforward to guarantee the existence of Carathéodory solutions for the SLBVP if Kuratowski measure of noncompactness is replaced by any axiomatic measure of noncompactness. © 2016 Elsevier B.V. All rights reserved.Article Citation - WoS: 16Citation - Scopus: 18Generalized quantum exponential function and its applications(University of Nis filomat@pmf.ni.ac.rs, 2019) Burcu Silindir; Ahmet Yantir; Silindir, Burcu; Yantir, AhmetThis article aims to present (q h)-analogue of exponential function which unifies extends h-and q-exponential functions in a convenient and efficient form. For this purpose we introduce generalized quantum binomial which serves as an analogue of an ordinary polynomial. We state (q h)-analogue of Taylor series and introduce generalized quantum exponential function which is determined by Taylor series in generalized quantum binomial. Furthermore we prove existence and uniqueness theorem for a first order linear homogeneous IVP whose solution produces an infinite product form for generalized quantum exponential function. We conclude that both representations of generalized quantum exponential function are equivalent. We illustrate our results by ordinary and partial difference equations. Finally we present a generic dynamic wave equation which admits generalized trigonometric hyperbolic type of solutions and produces various kinds of partial differential/difference equations. © 2020 Elsevier B.V. All rights reserved.Article Citation - Scopus: 1Analysis on α-time scales and its applications to Cauchy-Euler equation(Natural Sciences Publishing, 2024-09-01) Burcu Silindir; Seçil Gergün; Ahmet Yantir; Gergün, Seçil; Silindir, Burcu; Yantir, AhmetThis article is devoted to present the α-power function calculus on α-time scale the α-logarithm and their applications on α-difference equations. We introduce the α-power function as an absolutely convergent infinite product. We state that the α-power function verifies the fundamentals of α-time scale and adheres to both the additivity and the power rule for α-derivative. Next we propose an α-analogue of Cauchy-Euler equation whose coefficient functions are α-polynomials and then construct its solution in terms of α-power function. As illustration we present examples of the second order α-Cauchy-Euler equation. Consequently we construct α-analogue of logarithm function which is determined in terms of α-integral. Finally we propose a second order BVP for α-Cauchy-Euler equation with two point unmixed boundary conditions and compute its solution by the use of Green’s function. © 2024 Elsevier B.V. All rights reserved.Article Citation - WoS: 7Bessel equation and Bessel function on T(q-h)(Tubitak Scientific & Technological Research Council Turkey, 2022) Ahmet Yantir; Burcu Silindir Yantir; Zehra Tuncer; Yantir, Burcu Silindir; Tuncer, Zehra; Yantir, AhmetThis article is devoted to present nabla (q h)-analogues of Bessel equation and Bessel function. In order to construct series solution of nabla (q h)-Bessel equation we present nabla (q h)-analysis regarding nabla generalized quantum binomial nabla (q h)-analogues of Taylor's formula Gauss's binomial formula Taylor series analytic functions analytic exponential function with its fundamental properties analytic trigonometric and hyperbolic functions. We emphasize that nabla (q h)-Bessel equation recovers classical h- and q-discrete Bessel equations. In addition we establish nabla (q h)-Bessel function which is expressed in terms of an absolutely convergent series in nabla generalized quantum binomials and intimately demonstrate its reductions. Finally we develop modified nabla (q h)-Bessel equation modified nabla (q h)-Bessel function and its relation with nabla (q h)-Bessel function.Article Citation - Scopus: 2Existence of solutions to fractional differential inclusions with p-laplacian operator(Texas State University - San Marcos editor@ejde.math.txstate.edu, 2014) Ahmet Yantir; Fatma Serap Topal; Topal, Fatma Serap; Yantir, AhmetIn this article we are prove the existence of solutions for three-point fractional differential inclusions with p-Laplacian operator. We use fixed point theory for set valued upper semi-continuous maps for obtaining the solutions. © 2014 Elsevier B.V. All rights reserved.Article Citation - WoS: 12EXISTENCE OF SOLUTIONS OF THE DYNAMIC CAUCHY PROBLEM IN BANACH SPACES(DE GRUYTER POLAND SP Z O O, 2012) Mieczyslaw Cichon; Ireneusz Kubiaczyk; Aneta Sikorska-Nowak; Ahmet Yantir; Yantir, Ahmet; Cichon, Mieczyslaw; Kubiaczyk, Ireneusz; Sikorska-Nowak, AnetaIn this paper we obtain the existence of solutions and Caratheodory type solutions of the dynamic Cauchy problem in Banach spaces for functions defined on time scales x(triangle)(t) = f(tx(t)) x(0)=x(o) t is an element of I-a where f is continuous or f satisfies Caratheodory conditions and some conditions expressed in terms of measures of noncompactness. The Manch fixed point theorem is used to prove the main result which extends these obtained for real valued functions.Article Citation - Scopus: 8Bessel equation and Bessel function on $\\mathbb{T}(q h)$(Tubitak, 2022-01-01) Ahmet Yantir; BURCU SILINDIR YANTIR; Zehra TUNCER; Yantır, Burcu Sılındır; Tuncer, Zehra; Yantir, AhmetThis article is devoted to present nabla $(q h)$ -analogues of Bessel equation and Bessel function. In order to construct series solution of nabla $(q h)$ -Bessel equation we present nabla $(q h)$ -analysis regarding nabla generalized quantum binomial nabla $(q h)$ -analogues of Taylor’s formula Gauss’s binomial formula Taylor series analytic functions analytic exponential function with its fundamental properties analytic trigonometric and hyperbolic functions. We emphasize that nabla $(q h)$ -Bessel equation recovers classical $h-and q-discrete$ Bessel equations. In addition we establish nabla $(q h)4 -Bessel function which is expressed in terms of an absolutely convergent series in nabla generalized quantum binomials and intimately demonstrate its reductions. Finally we develop modified nabla $(q h)$ -Bessel equation modified nabla $(q h)$ -Bessel function and its relation with nabla $(q h)$ -Bessel function.Publication Existence of Solutions of the Dynamic Cauchy Problem in Banach Spaces(2012) Yantir, Ahmet; Cichon, Mieczyslaw; Kubiaczyk, Ireneusz; Sikorska-Nowak, AnetaArticle Weak solutions of a hyperbolic-type partial dynamic equation in Banach spaces(HACETTEPE UNIV FAC SCI, 2015-01-01) Ahmet Yantir; Duygu Soyoglu; Yantir, Ahmet; Soyoglu, DuyguIn this article we prove an existence theorem regarding the weak solutions to the hyperbolic-type partial dynamic equation z(Gamma Delta)(x y) = f(x y z(x y)) x(x 0) = 0 z(0 y) = 0 x is an element of T-1 y is an element of T-2 in Banach spaces. For this purpose by generalizing the definitions and results of Cichon et. al. we develop weak partial derivatives double integrability and the mean value results for double integrals on time scales. DeBlasi measure of weak noncompactness and Kubiaczyk's fixed point theorem for the weakly sequentially continuous mappings are the essential tools to prove the main result.Publication Measure on Time Scales with Mathematica(2006) Ufuktepe, Unal; Yantir, Ahmet
