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Karapınar, Erdal

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https://hdl.handle.net/20.500.12416/9475
Name Variants
Karapınar, E.
Karapinar, E.
Karapinar, Erdal
Erdal Karapinar
Job Title
Prof. Dr.
Email Address
Main Affiliation
02.02. Matematik
Matematik
02. Fen-Edebiyat Fakültesi
01. Çankaya Üniversitesi
Status
Former Staff
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WoS Researcher ID

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Scholarly Output

179

Articles

146

Views / Downloads

5536/2967

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

2760

Scopus Citation Count

3168

WoS h-index

26

Scopus h-index

29

Patents

0

Projects

0

WoS Citations per Publication

15.42

Scopus Citations per Publication

17.70

Open Access Source

101

Supervised Theses

0

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Synthesis Lectures on Mathematics and Statistics21
Mathematics16
Advances in Difference Equations11
Journal of Function Spaces10
Filomat9
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Now showing 1 - 10 of 179
  • Thumbnail Image
    Article
    Citation - WoS: 52
    Citation - Scopus: 63
    A Numerical Schemes and Comparisons for Fixed Point Results With Applications To the Solutions of Volterra Integral Equations in Dislocated Extended B - Metric Space
    (Elsevier, 2020) Karapinar, Erdal; Atangana, Abdon; Panda, Sumati Kumari
    In this article, we propose a generalization of both b-metric and dislocated metric, namely, dislocated extended b-metric space. After getting some fixed point results, we suggest a relatively simple solution for a Volterra integral equation by using the technique of fixed point in the setting of dislocated extended b-metric space. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.
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    Article
    Citation - WoS: 20
    Citation - Scopus: 22
    On Hybrid Contractions in the Context of Quasi-Metric Spaces
    (Mdpi, 2020) Karapinar, Erdal; Petrusel, Gabriela; Fulga, Andreea
    In this manuscript, we will investigate the existence of fixed points for mappings that satisfy some hybrid type contraction conditions in the setting of quasi-metric spaces. We provide examples to assure the validity of the given results. The results of this paper generalize several known theorems in the recent literature.
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    Article
    Citation - WoS: 23
    Citation - Scopus: 26
    On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order
    (Wiley, 2023) Benkerrouche, Amar; Souid, Mohammed Said; Karapinar, Erdal; Hakem, Ali
    In this manuscript, we examine both the existence, uniqueness, and the stability of solutions to the boundary value problem (BVP) of Hadamard fractional differential equations of variable order by converting it into an equivalent standard Hadamard (BVP) of the fractional constant order with the help of the generalized intervals and the piecewise constant functions. All results in this study are established using Krasnoselskii fixed-point theorem and the Banach contraction principle. Further, the Ulam-Hyers stability of the given problem is examined, and finally, we construct an example to illustrate the validity of the observed results.
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    Book Part
    Citation - Scopus: 15
    Fixed Point Theory in Generalized Metric Spaces
    (Springer Nature, 2022) Karapınar, E.; Agarwal, R.P.
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    Article
    Citation - WoS: 10
    Citation - Scopus: 11
    On Interpolative Hardy-Rogers Type Multivalued Contractions Via a Simulation Function
    (Univ Nis, Fac Sci Math, 2022) Ali, Ahsan; Hussain, Azhar; Aydi, Hassen; Karapinar, Erdal
    In this paper, the notion of multivalued interpolative Hardy-Rogers-contractions using generalized simulation functions is introduced. We establish some related fixed point results and we provide some examples. We also prove data dependence of the fixed point sets. Moreover, we present strict fixed point set, well-posedness and homotopy results.
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    Article
    Citation - WoS: 48
    Citation - Scopus: 62
    Solutions of Boundary Value Problems on Extended-Branciari B-Distance
    (Springer, 2020) Panda, Sumati Kumari; Mlaiki, Nabil; Abdeljawad, Thabet; Karapinar, Erdal
    In this paper, we consider a new distance structure, extended Branciari b-distance, to combine and unify several distance notions and obtain fixed point results that cover several existing ones in the corresponding literature. As an application of our obtained result, we present a solution for a fourth-order differential equation boundary value problem.
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    Article
    Citation - WoS: 91
    Citation - Scopus: 111
    A Discussion on the Existence of Positive Solutions of the Boundary Value Problems Via Ψ-Hilfer Fractional Derivative on B-Metric Spaces
    (Springer, 2020) Karapinar, Erdal; Afshari, Hojjat
    In this paper, we investigate the existence of positive solutions for the new class of boundary value problems via psi -Hilfer fractional differential equations. For our purpose, we use the alpha-psi Geraghty-type contraction in the framework of the b-metric space. We give an example illustrating the validity of the proved results.
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    Article
    Citation - Scopus: 3
    A Fixed Point Theorem Without a Picard Operator
    (Cankaya University, 2021) Karapınar, E.
    In this short note, we propose a fixed point theorem in the setting of a Banach space without using a Picard operator. © 2021, Cankaya University. All rights reserved.
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    Article
    Citation - WoS: 4
    Citation - Scopus: 6
    Existence and Ulam-Hyers Stability of Mild Solutions for Impulsive Integro-Differential Systems Via Resolvent Operators
    (Amer inst Mathematical Sciences-aims, 2025) Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal; Bensalem, Abdelhamid
    The aim of this paper is to present existence, Ulam-Hyers-Rassias stability and continuous dependence on initial conditions for the mild solution of impulsive integro-differential systems via resolvent operators. Our analysis is based on fixed point theorem with generalized measures of noncompactness, this approach is combined with the technique that uses convergence to zero matrices in generalized Banach spaces. An example is presented to illustrate the efficiency of the result obtained.
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    Article
    Citation - WoS: 78
    Citation - Scopus: 86
    Existence and Ulam Stability for Impulsive Generalized Hilfer-Type Fractional Differential Equations
    (Springer, 2020) Benchohra, Mouffak; Karapinar, Erdal; Lazreg, Jamal Eddine; Salim, Abdelkrim
    In this manuscript, we examine the existence and the Ulam stability of solutions for a class of boundary value problems for nonlinear implicit fractional differential equations with instantaneous impulses in Banach spaces. The results are based on fixed point theorems of Darbo and Monch associated with the technique of measure of noncompactness. We provide some examples to indicate the applicability of our results.