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Erhan, İnci
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I.,Erhan
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.
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
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Scopus Author ID
Turkish CoHE Profile ID
Google Scholar ID
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Scholarly Output
61
Articles
55
Citation Count
955
Supervised Theses
4
61 results
Scholarly Output Search Results
Now showing 1 - 10 of 61
Article Citation - WoS: 25Citation - Scopus: 32Fixed Point Theorems in Complete Modular Metric Spaces and an Application To Anti-Periodic Boundary Value Problems(Univ Nis, Fac Sci Math, 2017) Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.; MathematicsIn this paper existence and uniqueness of fixed points for a general class of contractive and nonexpansive mappings on modular metric spaces is discussed. As an application of the theoretical results, the existence of a solution of anti-periodic boundary value problems for nonlinear first order differential equations of Caratheodory's type is considered in the framework of modular metric spaces.Article Citation - WoS: 6Citation - Scopus: 5A Note on 'coupled Fixed Point Theorems for Mixed g-monotone Mappings in Partially Ordered Metric Spaces'(Springer international Publishing Ag, 2014) Bilgili, Nurcan; Erhan, Inci M.; Karapinar, Erdal; Turkoglu, Duran; MathematicsRecently, some (common) coupled fixed theorems in various abstract spaces have appeared as a generalization of existing (usual) fixed point results. Unexpectedly, we noticed that most of such (common) coupled fixed theorems are either weaker or equivalent to existing fixed point results in the literature. In particular, we prove that the very recent paper of Turkoglu and Sangurlu 'Coupled fixed point theorems for mixed g-monotone mappings in partially ordered metric spaces [Fixed Point Theory and Applications 2013, 2013:348]' can be considered as a consequence of the existing fixed point theorems on the topic in the literature. Furthermore, we give an example to illustrate that the main results of Turkoglu and Sangurlu (Fixed Point Theory Appl. 2013:348, 2013) has limited applicability compared to the mentioned existing fixed point result.Article Citation - WoS: 3Citation - Scopus: 4Lagrange Interpolation on Time Scales(Wilmington Scientific Publisher, Llc, 2022) Georgiev, Svetlin G.; Erhan, Inci M.; MathematicsIn this paper, we introduce the Lagrange interpolation polynomials on time scales. We define an alternative type of interpolation functions called s-Lagrange interpolation polynomials. We discuss some properties of these polynomials and show that on some special time scales, including the set of real numbers, these two types of interpolation polynomials coincide. We apply our results on some particular examples.Article Citation - WoS: 10Citation - Scopus: 19The Taylor Series Method and Trapezoidal Rule on Time Scales(Elsevier Science inc, 2020) Georgiev, Svetlin G.; Erhan, Inci M.; MathematicsThe 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.Article Citation - WoS: 3Citation - Scopus: 2Existence of solutions of integral equations via fixed point theorems(Springeropen, 2014) Gulyaz, Selma; Erhan, Inci M.; MathematicsExistence and uniqueness of fixed points of a mapping defined on partially ordered G-metric spaces is discussed. The mapping satisfies contractive conditions based on certain classes of functions. The results are applied to the problems involving contractive conditions of integral type and to a particular type of initial value problems for the nonhomogeneous heat equation in one dimension. This work is a generalization of the results published recently in (Gordji et al. in Fixed Point Theory Appl. 2012:74, 2012, doi:10.1186/1687-1812-2012-74) to G-metric space.Article Citation - WoS: 11Citation - Scopus: 11Microstructural, thermal, and electrical properties of Bi1.7V0.3Sr2Ca2Ca3Ox glass-ceramic superconductor(Wiley-v C H verlag Gmbh, 2004) Kayed, TS; Calinli, N; Aksu, E; Koralay, H; Günen, A; Ercan, I; Cavdar, S; Mathematics; Department of Electrical & Electronics EngineeringA glass-ceramic Bi1.7V0.3Sr2Ca2Cu3Ox superconductor was prepared by the melt-quenching method. The compound was characterized by scanning electron microscopy, x-ray diffraction, differential thermal analysis, current-voltage characteristics, transport resistance measurements, and Hall effect measurements. Two main phases (BSCCO 2212 and 2223) were observed in the x-ray data and the values of the lattice parameters quite agree with the known values for 2212 and 2223 phases. The glass transition temperature was found to be 426 degreesC while the activation energy for crystallization of glass has been found to be E-a = 370.5 kJ / mol. This result indicates that the substitution of vanadium increased the activation energy for the BSCCO system. An offset T-c of 80 K was measured and the onset T-c was 100 K. The Hall resistivity rho(H) was found to be almost field-independent at the normal state. A negative Hall coefficient was observed and no sign reversal of rho(H) or RH could be noticed. The mobility and carrier density at different temperatures in the range 140-300 K under different applied magnetic fields up to 1.4 T were also measured and the results are discussed.Master Thesis Çeşitli Taban Fonksiyonları ile Sanki-spektral Yöntemler ve Kuvantum Mekaniğe Uygulamaları(2017) Wlıe, Saeıda; Erhan, İnci; MathematicsBu çalışmada, sanki-spektral yöntemler ve onların sıradan diferansiyel denklemler ile ilgili özdeğer problemlere uygulamalarını inceledik. Özel olarak, ikinci mertebeden diferansiyel denklemleri ve belirli örnek olarak polinom potansiyelli kuvantum sistemlerin Schrödinger denklemini ele aldık. Kendine es¸ özdeğer problemleri ve polinom potansiyeline sahip parçacıkların Schrödinger denklemini tanıttıktan sonra, Lagrange interpolasyonu ve ortogonal polinomların bazı önemli özelliklerini hatırlattık. Herhangi bir dereceden bir ortogonal polinomun köklerinin bulunmasına yönelik, simetrik tridiagonal matris için özdeğer problemi kullanan bir yöntem sunduk. Hermite, Assosiye Laguerre, Chebyshev ve Legendre polinomlarının köklerinin bulunmasında kullanılan simetrik tridiagonal matrisleri oluşturduk. Bundan sonra, yayınlanmıs¸ makaleleri çalışarak, Hermite ve Assosiye Laguerre polinomları kullanan sanki-spektral formülasyon oluşturduk. Ayrıca, bağımsız değişken üzerinden dönüşüm kullanarak sonsuz aralığı sonlu aralığa dönüştürdük ve Chebyshev ile Legendre polinomları kullanan sanki-spektral formülasyon elde ettik. Özel örnek olarak, yukarıda bahsedilen dört tür ortogonal polinomları kullanan sanki-spektral yöntemleri, polinom potansiyeline sahip kuvantum sistemlerin Schrödinger denklemini çözmek için uyguladık. Elde ettiğimiz sayısal sonuçları, başka yazarlar tarafından yayınlanan sayısal sonuçlarla karşılaştırdık ve kendi yöntemimizin yeterliliği ile ilgili yorumlarda bulunduk.Article Citation - WoS: 40Citation - Scopus: 50Fixed Points of (ψ, Φ) Contractions on Rectangular Metric Spaces(Springer international Publishing Ag, 2012) Erhan, Inci M.; Karapinar, Erdal; Sekulic, Tanja; MathematicsExistence and uniqueness of fixed points of a general class of (psi, phi) contractive mappings on complete rectangular metric spaces are discussed. One of the theorems is a generalization of a fixed point theorem recently introduced by Lakzian and Samet. Fixed points of (psi, phi) contractions under conditions involving rational expressions are also investigated. Several particular cases and applications as well as an illustrative example are given.Article Citation - Scopus: 5Adomian Polynomials Method for Dynamic Equations on Time Scales(DergiPark, 2021) Georgiev,S.G.; Erhan,I.M.; MathematicsA 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: 47Citation - Scopus: 51F-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.; MathematicsIn 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.
