Erhan, İnci
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I.,Erhan
E.,İnci
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E.,Inci
İnci, Erhan
E., Inci
Erhan, Inci
Erhan,İ.
Inci, Erhan
Erhan,I.
I., Erhan
Erhan, İnci
Erhan, Inci M.
Erhan, I. M.
Erhan,I.M.
Ercan, I
Erhan, İnci M.
E.,İnci
İ.,Erhan
E.,Inci
İnci, Erhan
E., Inci
Erhan, Inci
Erhan,İ.
Inci, Erhan
Erhan,I.
I., Erhan
Erhan, İnci
Erhan, Inci M.
Erhan, I. M.
Erhan,I.M.
Ercan, I
Erhan, İnci M.
Job Title
Profesör Doktor
Email Address
inci.erhan@atilim.edu.tr
Main Affiliation
Mathematics
Status
Former 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
This researcher does not have a Scopus ID.
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Scholarly Output
65
Articles
58
Views / Downloads
251/1006
Supervised MSc Theses
5
Supervised PhD Theses
0
WoS Citation Count
1571
Scopus Citation Count
1435
Patents
0
Projects
0
WoS Citations per Publication
24.17
Scopus Citations per Publication
22.08
Open Access Source
27
Supervised Theses
5
| Journal | Count |
|---|---|
| Fixed Point Theory and Applications | 10 |
| Filomat | 5 |
| Abstract and Applied Analysis | 4 |
| Crystal Research and Technology | 3 |
| Journal of Inequalities and Applications | 3 |
Current Page: 1 / 6
Scopus Quartile Distribution
Competency Cloud
16 results
Scholarly Output Search Results
Now showing 1 - 10 of 16
Article Citation - WoS: 8Citation - Scopus: 10A 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, RezanThe 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: 11Citation - Scopus: 20The Taylor Series Method and Trapezoidal Rule on Time Scales(Elsevier Science inc, 2020) Georgiev, Svetlin G.; Erhan, Inci M.The Taylor series method for initial value problems associated with dynamic equations of first order on time scales with delta differentiable graininess function is introduced. The trapezoidal rule for the same types of problems is derived and applied to specific examples. Numerical results are presented and discussed. (c) 2020 Elsevier Inc. All rights reserved.Master Thesis Zaman Skalasında Dinamik Denklemlerin Sayısal Çözümleri(2021) Sulaıman, Sarah; Erhan, İnciBu tezin amacı, zaman skalasında dinamik denklemler için bazı sayısal yöntemleri ¨ incelemektir. Bu nedenle, keyfi zaman skalası için Euler yöntemi ve ikinci mertebe- ¨ den Taylor serisi yöntemi analiz edilmiş¸ ve açıklanmıştır. Her iki yöntem için hata ve ¨ yakınsaklık analizleri de verilmiştir. Trapezoid (Yamuk) kuralı olarak bilinen sayısal yöntem, ikinci mertebeden Taylor serisi yönteminden elde edilmiştir. Her iki yöntem, birinci ve ikinci mertebeden dinamik denklemler için başlangıç değer problemlerine uygulanmıştır. Örneklerin parametreler içermesi sayesinde, başlangıç¸ değer problemlerinin çeşitli zaman skalalarında ve farklı başlangıç¸ değerleri verilerek incelenebilmesi olanağı vardır. Sayısal sonuçlar Matlab kullanılarak hesaplanmıştır ve ilgili yaklaşık ve tam çözümler, hem değerleri tablolanarak, hem de grafikleri çizilerek karşılaştırılmıştır. Son olarak, incelenen yöntemlerle ilgili sonuçlar ve bazı ek yorumlar verilmiştir.Article Citation - WoS: 1Citation - Scopus: 4Fixed Point Theorems for Mappings With a Contractive Iterate at a Point in Modular Metric Spaces(House Book Science-casa Cartii Stiinta, 2022) Karapinar, Erdal; Aksoy, Umit; Fulga, Andreea; Erhan, Inci M.In this manuscript, we introduce two new types of contraction, namely, w-contraction and strong Sehgal w-contraction, in the framework of modular metric spaces. We indicate that under certain assumptions, such mappings possess a unique fixed point. For the sake of completeness, we consider examples and an application to matrix equations.Article Citation - WoS: 3Citation - Scopus: 3Uniqueness of Solution for Higher-Order Nonlinear Fractional Differential Equations With Multi-Point and Integral Boundary Conditions(Springer-verlag Italia Srl, 2021) Sevinik-Adiguzel, Rezan; Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.; Adiguzel, Rezan SevinikThis 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) 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 - Scopus: 6Adomian Polynomials Method for Dynamic Equations on Time Scales(DergiPark, 2021) Georgiev,S.G.; Erhan,I.M.; Bohner, MartinA recent study on solving nonlinear differential equations by a Laplace transform method combined with the Adomian polynomial representation, is extended to the more general class of dynamic equations on arbitrary time scales. The derivation of the method on time scales is presented and applied to particular examples of initial value problems associated with nonlinear dynamic equations of first order. © 2021, DergiPark. All rights reserved.Article Citation - WoS: 52Citation - Scopus: 63F-Contraction Mappings on Metric-Like Spaces in Connection With Integral Equations on Time Scales(Springer-verlag Italia Srl, 2020) Agarwal, Ravi P.; Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.In this paper we investigate the existence and uniqueness of fixed points of certain (phi,F)-type contractions in the frame of metric-like spaces. As an application of the theorem we consider the existence and uniqueness of solutions of nonlinear Fredholm integral equations of the second kind on time scales. We also present a particular example which demonstrates our theoretical results.Article Citation - WoS: 3Citation - Scopus: 4On the Fixed Points of Iterative Contractive Mappings Defined Via Implicit Relation(Taylor & Francis Ltd, 2021) Aksoy, Umit; Erhan, Inci M.; Fulga, Andreea; Karapinar, ErdalIn this paper, we consider an implicit relation to generalize iterative fixed point results in the literature in the context of metric spaces. We conclude that several existing results are immediate consequences of our main results.Article Citation - WoS: 146Citation - Scopus: 168On the Solutions of Fractional Differential Equations Via Geraghty Type Hybrid Contractions(Ministry Communications & High Technologies Republic Azerbaijan, 2021) Adiguzel, Rezan Sevinik; Sevinik Adıgüzel, Rezan; Aksoy, Umit; Aksoy, Ümit; Karapinar, Erdal; Karapınar, Erdal; Erhan, Inci M.; Erhan, İnci; Sevinik Adıgüzel, Rezan; Aksoy, Ümit; Karapınar, Erdal; Erhan, İnci; Mathematics; Mathematics; MathematicsThe aim of this article is twofold. Firstly, to study fixed points of mappings on b metric spaces satisfying a general contractive condition called Geraghty type hybrid contraction. Secondly, to apply the theoretical results to the problem of existence and uniqueness of solutions of boundary value problems with integral boundary conditions associated with a certain type of nonlinear fractional differential equations. The conditions for the existence of fixed points for Geraghty type hybrid contractions are determined and several consequences of the main results are deduced. Some examples on boundary value problems for nonlinear fractional differential equations of order 3 < alpha <= 4 are provided, where the existence and uniqueness of solutions are shown by using Geraghty type contractions.
