Sevinik Adıgüzel, Rezan

Profile URL
https://hdl.handle.net/20.500.14411/6781
Name Variants
S., Rezan Rezan Sevinik Adıgüzel Sevinik Adıgüzel, Rezan S. A. Rezan R.,Sevinik Adıgüzel Rezan, Sevinik Adiguzel Rezan, Sevinik Adıgüzel Sevinik Adiguzel,Rezan Sevinik Adıgüzel,R. Sevinik Adigüzel R. Sevinik Adiguzel, Rezan Sevinik Adıgüzel R. Adlgüzel R. R., Sevinik Adıgüzel S.,Rezan Sevinik Adiguzel,R. S.A.Rezan R.,Sevinik Adiguzel R., Sevinik Adiguzel Adıgüzel, Rezan Sevinik Sevinik-Adiguzel, Rezan Adiguzel, Rezan Sevinik Adıgüzel,R.S.
Job Title
Doçent Doktor
Email Address
rezan.adiguzel@atilim.edu.tr
Main Affiliation
Mathematics
Status
Website
ORCID ID
0000-0002-9181-8566
Scopus Author ID
49864511100
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID

Research Topics

Domains
Physical Sciences
Fields
MathematicsPhysics and Astronomy
Subfields
Applied MathematicsAlgebra and Number TheoryModeling and SimulationStatistical and Nonlinear Physics
Specific Research Areas
Mathematical functions and polynomials
Advanced Mathematical Identities
Fractional Differential Equations Solutions
Nonlinear Waves and Solitons
Nonlinear Differential Equations Analysis

Sustainable Development Goals

NO POVERTY1
NO POVERTY
0
Research Products
ZERO HUNGER2
ZERO HUNGER
0
Research Products
GOOD HEALTH AND WELL-BEING3
GOOD HEALTH AND WELL-BEING
1
Research Products
QUALITY EDUCATION4
QUALITY EDUCATION
0
Research Products
GENDER EQUALITY5
GENDER EQUALITY
0
Research Products
CLEAN WATER AND SANITATION6
CLEAN WATER AND SANITATION
0
Research Products
AFFORDABLE AND CLEAN ENERGY7
AFFORDABLE AND CLEAN ENERGY
0
Research Products
DECENT WORK AND ECONOMIC GROWTH8
DECENT WORK AND ECONOMIC GROWTH
0
Research Products
INDUSTRY, INNOVATION AND INFRASTRUCTURE9
INDUSTRY, INNOVATION AND INFRASTRUCTURE
0
Research Products
REDUCED INEQUALITIES10
REDUCED INEQUALITIES
0
Research Products
SUSTAINABLE CITIES AND COMMUNITIES11
SUSTAINABLE CITIES AND COMMUNITIES
0
Research Products
RESPONSIBLE CONSUMPTION AND PRODUCTION12
RESPONSIBLE CONSUMPTION AND PRODUCTION
0
Research Products
CLIMATE ACTION13
CLIMATE ACTION
0
Research Products
LIFE BELOW WATER14
LIFE BELOW WATER
0
Research Products
LIFE ON LAND15
LIFE ON LAND
0
Research Products
PEACE, JUSTICE AND STRONG INSTITUTIONS16
PEACE, JUSTICE AND STRONG INSTITUTIONS
0
Research Products
PARTNERSHIPS FOR THE GOALS17
PARTNERSHIPS FOR THE GOALS
0
Research Products
Documents

14

Citations

396

h-index

6

Go to Scopus profile
This researcher does not have a WoS ID.

Publication Collaboration

Affiliation Name Count
Atilim University 8
Universidad de Sevilla 4
Çankaya University 3
Selçuk University 3
China Medical University 3
1 / 2
Data obtained from OpenAlex
Scholarly Output

15

Articles

12

Views / Downloads

34/54

Supervised MSc Theses

2

Supervised PhD Theses

0

WoS Citation Count

390

Scopus Citation Count

389

Patents

0

Projects

0

WoS Citations per Publication

26.00

Scopus Citations per Publication

25.93

Open Access Source

3

Supervised Theses

2

JournalCount
Mathematical Methods in the Applied Sciences3
Applied and Computational Mathematics2
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics1
Dynamic Calculus and Equations on Time Scales1
Filomat1
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Scholarly Output Search Results

Now showing 1 - 10 of 15
  • Article
    Citation - WoS: 11
    Citation - Scopus: 13
    A New Approach To the Existence and Uniqueness of Solutions for A Class of Nonlinear Q-Fractional Boundary Value Problems
    (Institute of Applied Mathematics of Baku State University, 2025) Karapinar, E.; Sevinik-Adiguzel, R.; Aksoy, U.; Erhan, I. M.; Sevinik Adıgüzel, Rezan
    The object of this study is a boundary value problem associated with a q-difference equation of fractional order. The existence and uniqueness of a solution in the case of multi-point boundary conditions is studied from the viewpoint of fixed point theory. An integral equation equivalent to the boundary value problem is derived and the fixed points of the related integral operator are investigated by using a contractive condition involving a comparison function. The Ulam-Hyers stability of the problem is also discussed. Theoretical results are followed by a particular example.
  • Article
    Citation - WoS: 3
    Citation - Scopus: 3
    Uniqueness of Solution for Higher-Order Nonlinear Fractional Differential Equations With Multi-Point and Integral Boundary Conditions
    (Springer-verlag Italia Srl, 2021-06-28) Sevinik-Adiguzel, Rezan; Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.; Adiguzel, Rezan Sevinik
    This study is devoted to the development of alternative conditions for existence and uniqueness of nonlinear fractional differential equations of higher-order with integral and multi-point boundary conditions. It uses a novel approach of employing a fixed point theorem based on contractive iterates of the integral operator for the corresponding fixed point problem. We start with developing an existence-uniqueness theorem for self-mappings with contractive iterate in a b-metric-like space. Then, we obtain the unique solvability of the problem under suitable conditions by utilizing an appropriate b-metric-like space.
  • Book Part
    Divided and A-Divided Differences on Time Scales
    (De Gruyter, 2023-09-04) Jaddoa,N.; Sevinik-Adigüzel,R.; Erhan,I.M.
    In this chapter, the divided differences and cr-divided differences on time scales are introduced. The Newton and cr-Newton interpolation polynomial are constructed. In addition, the Hermite interpolation polynomial on time scales is constructed by using the divided differences table. Examples are presented to illustrate the theoretical results. © 2023 Walter de Gruyter GmbH, Berlin/Bostonl. All rights reserved.
  • Article
    Citation - WoS: 4
    Citation - Scopus: 5
    Stability Analysis of an Epidemic Model With Vaccination and Time Delay
    (Wiley, 2023-05-19) Turan, Mehmet; Adiguzel, Rezan Sevinik; Koc, F.; Sevinik Adıgüzel, Rezan
    This paper presents an epidemic model with varying population, incorporating a new vaccination strategy and time delay. It investigates the impact of vaccination with respect to vaccine efficacy and the time required to see the effects, followed by determining how to control the spread of the disease according to the basic reproduction ratio of the disease. Some numerical simulations are provided to illustrate the theoretical results.
  • Article
    Citation - WoS: 3
    ON THE LIMIT OF DISCRETE q-HERMITE I POLYNOMIALS
    (Ankara Univ, Fac Sci, 2019-07-30) Alwhishi, Sakina; Adıgüzel, Rezan Sevinik; Turan, Mehmet
    The main purpose of this paper is to introduce the limit relationsbetween the discrete q-Hermite I and Hermite polynomials such that the orthogonality property and the three-terms recurrence relations remain valid.The discrete q-Hermite I polynomials are the q-analogues of the Hermite polynomials which form an important class of the classical orthogonal polynomials.The q-di§erence equation of hypergeometric type, Rodrigues formula and generating function are also considered in the limiting case.
  • Article
    Citation - WoS: 3
    Uniqueness of Solution for Second Order Nonlinear <i>q</I>-difference Equations With Multi-Point and Integral Boundary Conditions
    (Yokohama Publ, 2022) Adiguzel, Rezan Sevinik; Sevinik Adıgüzel, Rezan; Sevinik Adıgüzel, Rezan; Mathematics; Mathematics
    The existence and uniqueness of the solution for the boundary value problem associated with nonlinear second-order q-difference equation is discussed by Banach contraction mapping theorem on b-metric spaces. The problem is converted to an integral equation and investigated via a fixed point problem for an integral operator. Existence and uniqueness conditions for a fixed point of the integral operator are obtained. Moreover, an example is introduced to support the main results.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 2
    Spectrum of the <i>q</I>-schrodinger Equation by Means of the Variational Method Based on the Discrete <i>q</I>-hermite I Polynomials
    (World Scientific Publ Co Pte Ltd, 2021-01-30) Turan, Mehmet; Adiguzel, Rezan Sevinik; Calisir, Ayse Dogan; Adlgüzel, Rezan Sevinik; Çallşlr, Ayşe Doǧan
    In this work, the q-Schrodinger equations with symmetric polynomial potentials are considered. The spectrum of the model is obtained for several values of q, and the limiting case as q -> 1 is considered. The Rayleigh-Ritz variational method is adopted to the system. The discrete q-Hermite I polynomials are handled as basis in this method. Furthermore, the following potentials with numerous results are presented as applications: q-harmonic, purely q-quartic and q-quartic oscillators. It is also shown that the obtained results confirm the ones that exist in the literature for the continuous case.
  • Article
    Citation - Scopus: 1
    Applications of Non-Unique Fixed Point Theorem of Ciric To Nonlinear Integral Equations
    (int Center Scientific Research & Studies, 2019) Sevinik-Adiguzel, Rezan; Karapinar, Erdal; Erhan, Inci M.; Sevіnіk-Adigіüzel, Rezan
    In this paper we discuss the application of the non-unique fixed point theorem of Ciric to nonlinear Fredholm integral equations. We establish an existence theorem for the solutions of such integral equations and apply the theorem to particular examples.
  • Article
    Citation - WoS: 9
    Citation - Scopus: 11
    A Solution To Nonlinear Volterra Integro-Dynamic Equations Via Fixed Point Theory
    (Univ Nis, Fac Sci Math, 2019) Sevinik-Adiguzel, Rezan; Karapinar, Erdal; Erhan, Inci M.
    In this paper we discuss the existence and uniqueness of solutions of a certain type of nonlinear Volterra integro-dynamic equations on time scales. We investigate the problem in the setting of a complete b-metric space and apply a fixed point theorem with a contractive condition involving b-comparison function. We use the theorem to show the existence of a unique solution of some particular integro-dynamic equations.
  • Master Thesis
    Hermite ve q-hermite I polinomlarının özellikleri ve aralarındaki limit ilişkileri üzerine
    (2017) Alwhaıshı, Sakına; Adıgüzel, Rezan Sevinik; Turan, Mehmet
    Bu tezde Hermite polinomları ve ayrık q-Hermite I polinomlarının bazı önemli özellikleri sunulmaktadır. Bu polinomların özellikleri aynı tarzda ele alınacaktır. Ayrık q-Hermite I polinomları, Hermite polinomlarının q-analoğudur. Bu tip polinomlar klasik ortogonal polinomlar ve q-analoğunun önemli bir sınıfıdır. Bu tezdeki temel düşünce, Hermite polinomları ve bunların ayrık versiyonlarının sahip oldukları hipergeometrik tipte diferansiyel ve q-fark denklemleri, üç terimli yineleme bağıntısı, Rodrigues formülü, ortogonal ilişkileri, üreteç fonksiyon özellikleri üzerine çalışmaktır. Hermite polinomları, q -> 1 limit durumunda ayrık q-Hermite I polinomlarından elde edilmektedir. Bu tezde sunulan her bir özellik için Hermite polinomları ve ayrık q-Hermite I polinomları arasındaki limit ilişkisi ayrıntılı olarak ele alınacaktır.