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Mathematics
Ireland
2026

D-Index & Metrics

Mathematics

D-Index
80
Citations
32073
World Ranking
144
National Ranking
1

Research.com Recognitions

  • 2026 - Research.com Mathematics in Ireland Leader Award
  • 2025 - Research.com Mathematics in Ireland Leader Award
  • 2011 - Member of the Royal Irish Academy

Overview

Donal O'Regan is affiliated with the National University of Ireland, Galway. Their research centers primarily in mathematics, with a significant focus on applied mathematics and related subfields. The scientist has an extensive publication record, contributing notably to topics such as nonlinear differential equations analysis, fractional differential equations solutions, and stability and controllability of differential equations.

The main fields of study for Donal O'Regan include:

  • Mathematics

Their work extends across several subfields, including:

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

Key research topics addressed in their publications are:

  • Nonlinear Differential Equations Analysis
  • Fractional Differential Equations Solutions
  • Stability and Controllability of Differential Equations
  • Fixed Point Theorems Analysis
  • Optimization and Variational Analysis
  • Differential Equations and Boundary Problems
  • Differential Equations and Numerical Methods

Donal O'Regan has authored numerous papers, among which the following recent works are notable:

  • The Nehari manifold for aψ-Hilfer fractionalp-Laplacian, 2021, Applicable Analysis
  • Final value problem for nonlinear time fractional reaction-diffusion equation with discrete data, 2020, Journal of Computational and Applied Mathematics
  • Positive Solutions for a Class of p-Laplacian Hadamard Fractional-Order Three-Point Boundary Value Problems, 2020, Mathematics
  • On well-posedness of the sub-diffusion equation with conformable derivative model, 2020, Communications in Nonlinear Science and Numerical Simulation
  • Controllability of stochastic nonlinear oscillating delay systems driven by the Rosenblatt distribution, 2020, Proceedings of the Royal Society of Edinburgh Section A Mathematics

The scientist frequently publishes in the following venues:

  • Mathematics
  • Nonlinear Analysis Modelling and Control
  • AIMS Mathematics
  • Applicable Analysis
  • Mathematical Methods in the Applied Sciences

Co-authorship collaborations have been established with several researchers, including:

  • Ravi P. Agarwal
  • Snezhana Hristova
  • JinRong Wang
  • Reza Saadati
  • Jiafa Xu

Donal O'Regan has also contributed to academic literature in the form of books. One recorded publication is titled "Topology and Approximate Fixed Points," published by Springer Nature in 2022.

In recognition of contributions to the field, Donal O'Regan was named a Member of the Royal Irish Academy in 2011.

Best Publications

  • Positive Solutions of Differential, Difference and Integral Equations

    Ravi P. Agarwal;Donal O'Regan;Patricia J. Y Wong

  • Dynamic equations on time scales: a survey

    Ravi Agarwal;Martin Bohner;Donal O'Regan;Allan Peterson

  • Generalized contractions in partially ordered metric spaces

    R P Agarwal;El Gebeily;D Oregan

  • Oscillation Theory for Difference and Functional Differential Equations

    Ravi P. Agarwal;Said R Grace;Donal O'Regan

  • Fixed Point Theory for Lipschitzian-type Mappings with Applications

    D. R. Sahu;Donal O'Regan;Ravi P. Agarwal

  • Infinite Interval Problems for Differential, Difference and Integral Equations

    Ravi P. Agarwal;Donal O'Regan

  • On a new class of abstract impulsive differential equations

    Eduardo Hernández;Donal O’Regan

  • Variational approach to impulsive differential equations

    Juan J. Nieto;Donal O’Regan

  • Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations

    Ravi P. Agarwal;Said R Grace;Donal O'Regan

  • Fixed point theorems for generalized contractions in ordered metric spaces

    Donal O'Regan;Adrian Petruşel

  • Discrete Oscillation Theory

    Ravi P. Agarwal;Martin. Bohner;Said R Grace;Donal O'Regan

  • Theory of singular boundary value problems

    Donal O'Regan

  • Oscillation criteria for second-order nonlinear neutral delay dynamic equations

    Ravi P. Agarwal;Donal O'Regan;S.H. Saker

  • Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations

    Ravi P. Agarwal;Ravi P. Agarwal;Donal O'Regan;Svatoslav Staněk

  • Existence Theory for Nonlinear Integral and Integrodifferential Equations

    Donal O'Regan;Maria Meehan

  • Existence Theory for Nonlinear Ordinary Differential Equations

    Donal O'Regan

  • On recent developments in the theory of abstract differential equations with fractional derivatives

    Eduardo Hernández;Donal O’Regan;Krishnan Balachandran

  • Oscillation Theory for Second Order Dynamic Equations

    Ravi P. Agarwal;Said R. Grace;Donal O'Regan

  • Multiple positive solutions of singular and nonsingular discrete problems via variational methods

    Ravi P. Agarwal;Kanishka Perera;Donal O'Regan

  • Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses

    Michelle Pierri;Donal O'regan;Vanessa Rolnik

Frequent Co-Authors

Ravi P. Agarwal
Ravi P. Agarwal Florida Institute of Technology
Patricia J. Y. Wong
Patricia J. Y. Wong Nanyang Technological University
Daqing Jiang
Daqing Jiang China University of Petroleum, Beijing
JinRong Wang
JinRong Wang Guizhou University
Samir H. Saker
Samir H. Saker Mansoura University
Said R. Grace
Said R. Grace Cairo University
Erdal Karapınar
Erdal Karapınar Atilim University
V. Lakshmikantham
V. Lakshmikantham Florida Institute of Technology
Nikolaos S. Papageorgiou
Nikolaos S. Papageorgiou National Technical University of Athens
Reza Saadati
Reza Saadati Iran University of Science and Technology

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