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Erdal Karapınar

Erdal Karapınar

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Mathematics
Turkey
2026

D-Index & Metrics

Mathematics

D-Index
72
Citations
17885
World Ranking
249
National Ranking
1

Research.com Recognitions

  • 2026 - Research.com Mathematics in Turkey Leader Award
  • 2025 - Research.com Mathematics in Turkey Leader Award
  • 2022 - Research.com Mathematics in Turkey Leader Award

Overview

Erdal Karapınar is affiliated with Atilim University in Turkey, where their research primarily focuses on mathematical topics, particularly within the broad discipline of Mathematics.

Their work encompasses several subfields of Mathematics, including:

  • Geometry and Topology
  • Applied Mathematics
  • Modeling and Simulation
  • Numerical Analysis
  • Computational Theory and Mathematics

Karapınar's research engages with numerous advanced topics, such as:

  • Fixed Point Theorems Analysis
  • Nonlinear Differential Equations Analysis
  • Fractional Differential Equations Solutions
  • Optimization and Variational Analysis
  • Advanced Differential Geometry Research
  • Differential Equations and Numerical Methods
  • Differential Equations and Boundary Problems

Their recent publications illustrate a focus on fractional differential equations and boundary value problems. Selected recent papers include:

  • "On the solution of a boundary value problem associated with a fractional differential equation" (2020), published in Mathematical Methods in the Applied Sciences
  • "Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions" (2021), published in Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas
  • "A discussion on the existence of positive solutions of the boundary value problems via ψ-Hilfer fractional derivative on b-metric spaces" (2020), published in Advances in Difference Equations
  • "Existence and Ulam stability for impulsive generalized Hilfer-type fractional differential equations" (2020), published in Advances in Difference Equations
  • "Impulsive Caputo-Fabrizio fractional differential equations in b-metric spaces" (2021), published in Open Mathematics

Frequent coauthors working with Karapınar include:

  • Mouffak Benchohra
  • Andreea Fulga
  • Abdelkrim Salım
  • Jamal Eddine Lazreg
  • Ravi P. Agarwal

Karapınar has contributed to the literature with book publications under the publisher Synthesis lectures on mathematics and statistics. These books include:

  • Advanced Topics in Fractional Differential Equations (2023)
  • Fractional Differential Equations (2023)
  • Fixed Point Theory in Generalized Metric Spaces (2022)

Their work is regularly published in scholarly venues, with frequent contributions to:

  • Mathematics
  • Filomat
  • Advances in Difference Equations
  • Journal of Function Spaces
  • Axioms

Best Publications

  • On α-ψ-Meir-Keeler contractive mappings

    Erdal Karapınar;Poom Kumam;Peyman Salimi

  • Existence and uniqueness of a common fixed point on partial metric spaces

    Thabet Abdeljawad;Erdal Karapinar;Kenan Tas

  • Generalized - Contractive Type Mappings and Related Fixed Point Theorems with Applications

    Erdal Karapınar;Bessem Samet

  • A fixed point theorem for set-valued quasi- contractions in b-metric spaces

    Hassen Aydi;Monica-Felicia Bota;Erdal Karapınar;Slobodanka Mitrović

  • Couple fixed point theorems for nonlinear contractions in cone metric spaces

    Erdal Karapınar

  • Fixed point theorems for operators on partial metric spaces

    Erdal Karapınar;İnci M. Erhan

  • Fixed point theory for cyclic weak ϕ-contraction

    Erdal Karapınar

  • The existence of optimal approximate solution theorems for generalized α -proximal contraction non-self mappings and applications

    Erdal Karapınar;Wutiphol Sintunavarat

  • Revisiting the Kannan Type Contractions via Interpolation

    Unknown

  • Edelstein type fixed point theorems

    Erdal Karapınar

  • A COMMON FIXED POINT FOR WEAK -CONTRACTIONS ON b-METRIC SPACES

    Hassen Aydi;Monica-Felicia Bota;Erdal Karapinar;Sirous Moradi

  • Coincidence point theorems on metric spaces via simulation functions

    Antonio-Francisco Roldán-López-de-Hierro;Erdal Karapınar;Concepción Roldán-López-de-Hierro;Juan Martínez-Moreno

  • Coupled fixed point results for ( ψ,φ )-weakly contractive condition in ordered partial metric spaces

    Hassen Aydi;Erdal Karapınar;Wasfi Shatanawi

  • Fixed Point Theory in Metric Type Spaces

    Ravi P. Agarwal;Erdal Karapinar;Donal O'Regan;Antonio Francisco Roldán López de Hierro

  • Generalizations of Caristi Kirk's Theorem on Partial Metric Spaces

    Erdal Karapinar

  • α-admissible mappings and related fixed point theorems

    Nawab Hussain;Erdal Karapınar;Peyman Salimi;Farhana Akbar

  • Interpolative Reich–Rus–Ćirić Type Contractions on Partial Metric Spaces

    Erdal Karapinar;Ravi P. Agarwal;Hassen Aydi

  • Solutions of the Nonlinear Integral Equation and Fractional Differential Equation Using the Technique of a Fixed Point with a Numerical Experiment in Extended b-Metric Space

    Thabet Abdeljawad;Ravi P Agarwal;Erdal Karapınar;P Sumati Kumari

  • On the solution of a boundary value problem associated with a fractional differential equation

    Rezan Sevinik Adigüzel;Ümit Aksoy;Erdal Karapinar;Erdal Karapinar;İnci M. Erhan

  • Discussion on some coupled fixed point theorems

    Bessem Samet;Erdal Karapınar;Hassen Aydi;Vesna Ćojbas̆ić Rajić

  • Quadruple fixed point theorems for nonlinear contractions

    Erdal KarapıNar;Nguyen Van Luong

  • Fixed point theory for cyclic (ϕ - ψ)-contractions

    Erdal Karapinar;Kishin Sadarangani

  • A fixed point theorem for set-valued quasicontractions in b-metric spaces

    Hassen Aydi;Monica Bota;Erdal Karapinar;Slobodanka Mitrović

Frequent Co-Authors

Hassen Aydi
Hassen Aydi University of Sousse
Ravi P. Agarwal
Ravi P. Agarwal Florida Institute of Technology
Bessem Samet
Bessem Samet King Saud University
Donal O'Regan
Donal O'Regan University of Galway
Mohamed Jleli
Mohamed Jleli King Saud University
Vladimir Rakočević
Vladimir Rakočević University of Nis
Wasfi Shatanawi
Wasfi Shatanawi Prince Sultan University
Poom Kumam
Poom Kumam King Mongkut's University of Technology Thonburi
Thabet Abdeljawad
Thabet Abdeljawad Prince Sultan University
Nawab Hussain
Nawab Hussain King Abdulaziz University

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