D-Index & Metrics Best Publications
Mathematics
USA
2023

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 94 Citations 46,182 1,820 World Ranking 42 National Ranking 30

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in United States Leader Award

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Differential equation

Ravi P. Agarwal mostly deals with Mathematical analysis, Boundary value problem, Differential equation, Nonlinear system and Pure mathematics. His research on Mathematical analysis often connects related topics like Oscillation. His work in Boundary value problem tackles topics such as Fractional calculus which are related to areas like Function.

His study looks at the relationship between Differential equation and fields such as Sequence, as well as how they intersect with chemical problems. His research investigates the connection with Nonlinear system and areas like Applied mathematics which intersect with concerns in Calculus. His Pure mathematics research is multidisciplinary, incorporating elements of Type and Inequality.

His most cited work include:

  • Difference equations and inequalities (1254 citations)
  • Difference Equations and Inequalities: Theory, Methods, and Applications (799 citations)
  • A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions (592 citations)

What are the main themes of his work throughout his whole career to date?

The scientist’s investigation covers issues in Mathematical analysis, Boundary value problem, Pure mathematics, Applied mathematics and Nonlinear system. Dynamic equation is closely connected to Oscillation in his research, which is encompassed under the umbrella topic of Mathematical analysis. His research in Boundary value problem intersects with topics in Uniqueness and Singular solution.

The Pure mathematics study combines topics in areas such as Class and Type. His Applied mathematics research is multidisciplinary, relying on both Convergence, Lyapunov function and Stability. Specifically, his work in Nonlinear system is concerned with the study of Numerical partial differential equations.

He most often published in these fields:

  • Mathematical analysis (59.72%)
  • Boundary value problem (26.63%)
  • Pure mathematics (21.24%)

What were the highlights of his more recent work (between 2015-2021)?

  • Mathematical analysis (59.72%)
  • Applied mathematics (20.42%)
  • Pure mathematics (21.24%)

In recent papers he was focusing on the following fields of study:

Ravi P. Agarwal mainly investigates Mathematical analysis, Applied mathematics, Pure mathematics, Nonlinear system and Type. His Mathematical analysis study integrates concerns from other disciplines, such as Exponential stability and Dynamic equation. His biological study spans a wide range of topics, including Initial value problem, Partial differential equation, Lyapunov function and Stability.

His research on Nonlinear system frequently connects to adjacent areas such as Boundary value problem. His study in Boundary value problem is interdisciplinary in nature, drawing from both Fixed-point theorem and Uniqueness. Ravi P. Agarwal combines subjects such as Inequality and Combinatorics with his study of Type.

Between 2015 and 2021, his most popular works were:

  • Difference Equations and Inequalities: Theory, Methods, and Applications (799 citations)
  • A modified numerical scheme and convergence analysis for fractional model of Lienard’s equation (108 citations)
  • A study of fractional Lotka‐Volterra population model using Haar wavelet and Adams‐Bashforth‐Moulton methods (101 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

Ravi P. Agarwal spends much of his time researching Mathematical analysis, Applied mathematics, Nonlinear system, Fractional differential and Type. His research in Mathematical analysis tackles topics such as Exponential stability which are related to areas like Scale. His work carried out in the field of Applied mathematics brings together such families of science as Initial value problem, Monotone polygon, Partial differential equation, Boundary value problem and Class.

His Boundary value problem study incorporates themes from Fixed-point theorem and Uniqueness. His Nonlinear system research is multidisciplinary, relying on both Function and Convergence. His research in Type intersects with topics in Parametric statistics and Pure mathematics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Difference Equations and Inequalities: Theory, Methods, and Applications

Ravi P. Agarwal.
(2019)

3791 Citations

Difference equations and inequalities

Ravi P. Agarwal.
(1992)

2082 Citations

Positive Solutions of Differential, Difference and Integral Equations

Ravi P. Agarwal;Donal O'Regan;Patricia J. Y Wong.
(1998)

983 Citations

A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions

Ravi P. Agarwal;Mouffak Benchohra;Samira Hamani.
Acta Applicandae Mathematicae (2010)

940 Citations

Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula

S.S. Dragomir;R.P. Agarwal.
Applied Mathematics Letters (1998)

822 Citations

Generalized contractions in partially ordered metric spaces

R P Agarwal;El Gebeily;D Oregan.
Applicable Analysis (2008)

789 Citations

Dynamic equations on time scales: a survey

Ravi Agarwal;Martin Bohner;Donal O'Regan;Allan Peterson.
Journal of Computational and Applied Mathematics (2002)

785 Citations

Oscillation Theory for Difference and Functional Differential Equations

Ravi P. Agarwal;Said R Grace;Donal O'Regan.
(2000)

704 Citations

Basic Calculus on Time Scales and some of its Applications

Ravi P. Agarwal;Martin Bohner.
Results in Mathematics (1999)

697 Citations

On the concept of solution for fractional differential equations with uncertainty

Ravi P. Agarwal;V. Lakshmikantham;Juan J. Nieto.
Nonlinear Analysis-theory Methods & Applications (2010)

642 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

Best Scientists Citing Ravi P. Agarwal

Sotiris K. Ntouyas

Sotiris K. Ntouyas

University of Ioannina

Publications: 192

Dumitru Baleanu

Dumitru Baleanu

Çankaya University

Publications: 180

Donal O'Regan

Donal O'Regan

National University of Ireland, Galway

Publications: 169

Bashir Ahmad

Bashir Ahmad

King Abdulaziz University

Publications: 158

Yong Zhou

Yong Zhou

Nanjing University

Publications: 113

Lishan Liu

Lishan Liu

Curtin University

Publications: 104

Juan J. Nieto

Juan J. Nieto

University of Santiago de Compostela

Publications: 104

Samir H. Saker

Samir H. Saker

Mansoura University

Publications: 100

Johnny Henderson

Johnny Henderson

Baylor University

Publications: 99

Erdal Karapınar

Erdal Karapınar

Çankaya University

Publications: 96

Poom Kumam

Poom Kumam

King Mongkut's University of Technology Thonburi

Publications: 93

Weigao Ge

Weigao Ge

Beijing Institute of Technology

Publications: 90

Tongxing Li

Tongxing Li

Shandong University

Publications: 82

JinRong Wang

JinRong Wang

Guizhou University

Publications: 82

Martin Bohner

Martin Bohner

Missouri University of Science and Technology

Publications: 78

Bessem Samet

Bessem Samet

King Saud University

Publications: 78

Trending Scientists

Bart Selman

Bart Selman

Cornell University

H. De Meyer

H. De Meyer

Ghent University

Orlin D. Velev

Orlin D. Velev

North Carolina State University

Kai Bischof

Kai Bischof

University of Bremen

Jimin Yu

Jimin Yu

Australian National University

Birgit M. Braune

Birgit M. Braune

Carleton University

Lis Wollesen de Jonge

Lis Wollesen de Jonge

Aarhus University

Barry J. Sessle

Barry J. Sessle

University of Toronto

Nicola Principi

Nicola Principi

University of Milan

Bert De Smedt

Bert De Smedt

KU Leuven

Brian Byrne

Brian Byrne

University of New England

John G. Borkowski

John G. Borkowski

University of Notre Dame

Kiyofumi Yamada

Kiyofumi Yamada

Nagoya University

Michael Milosevic

Michael Milosevic

Princess Margaret Cancer Centre

Nils H. Turner

Nils H. Turner

Georgia State University

Something went wrong. Please try again later.