World's Best Scientists 2026 revealed!
Differential and Integral Equations
H-index 5

Differential and Integral Equations

0893-4983

Published by: Khayyam Publishing, Inc.

http://www.aftabi.com/DIE/die.html

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 492 19 20 5

Additional Metrics

Number of Best Scientists*: 23
Documents by Best Scientists*: 24
Top 100 Ranked Scientists*: 2
SCIMAGO H-index: 34
SCIMAGO SJR: 0.85
Impact Factor: 1.1

Overview

Top Research Topics at Differential and Integral Equations?

Mathematical analysis, Pure mathematics, Nonlinear system, Applied mathematics and Mathematical physics are the subjects of interest in Differential and Integral Equations. Topics in Mathematical analysis explored in it were investigated in conjunction with research in Type (model theory) and Boundary (topology). The studies tackled, which mainly focus on Pure mathematics, apply to Class (set theory) as well.

In it, Domain (mathematical analysis), Omega and Combinatorics are investigated in conjunction with one another to address concerns in Bounded function research. The study on Omega presented in it intersects with the topics under Domain (ring theory). Combinatorics study tackled is connected to the field of Nabla symbol.

It features studies on Boundary value problem, including topics such as Mixed boundary condition.

  • Mathematical analysis (48.05%)
  • Pure mathematics (16.24%)
  • Nonlinear system (15.20%)

What are the most cited papers published in the journal?

  • Nonlinear scalar field equations (604 citations)
  • Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping (442 citations)
  • A few remarks on the Camassa-Holm equation (358 citations)

Research areas of the most cited articles at Differential and Integral Equations:

The most cited articles generally zeroe in on subjects such as Mathematical analysis, Nonlinear system, Pure mathematics, Mathematical physics and Applied mathematics. The most cited articles aim to address concerns in Mathematical analysis, specifically in the areas of Uniqueness, Boundary value problem, Bounded function, Parabolic partial differential equation and Initial value problem. The works on Mathematical physics tackled in the most cited publications bring together disciplines like Nonlinear Schrödinger equation and Schrödinger equation.

What topics the last edition of the journal is best known for?

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

The previous edition focused in particular on these issues:

The journal primarily focuses on research topics in Type (model theory), Mathematical analysis, Pure mathematics, Combinatorics and Nonlinear system. The presented Type (model theory) research focuses mostly on Mathematical physics and, on occasion, topics in Initial value problem, Klein–Gordon equation, Term (time), Spacetime and Contraction (operator theory). The work on Mathematical analysis presented in the journal focuses on Limit (mathematics) in particular.

In addition to Pure mathematics research, the journal aims to explore topics under Linear transport equation, Solution map, Uniform continuity and Scalar (mathematics). While work presented in the journal provided substantial information on Combinatorics, it also covered topics in Domain (ring theory), Nabla symbol and Sign (mathematics). Some problems in Nonlinear system that were presented in it overlapped with concepts under Structure (category theory), Fixed point, Duality (optimization), Controllability and Bounded function.

The most cited articles from the last journal are:

  • Boundedness for a nonlocal reaction chemotaxis model even in the attraction-dominated regime (24 citations)
  • Continuity of the data-to-solution map for the FORQ equation in Besov spaces (1 citations)
  • Well-posedness of the cauchy problem for convection-diffusion equations in uniformly local Lebesgue spaces (1 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

The top authors publishing in Differential and Integral Equations (based on the number of publications) are:

  • Ratnasingham Shivaji (14 papers) absent at the last edition,
  • Nakao Hayashi (12 papers) absent at the last edition,
  • Angelo Favini (12 papers) absent at the last edition,
  • Viorel Barbu (11 papers) absent at the last edition,
  • Tohru Ozawa (11 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Only papers with recognized affiliations are considered

The top affiliations publishing in Differential and Integral Equations (based on the number of publications) are:

  • University of Paris (4 papers) absent at the last edition,
  • Sapienza University of Rome (4 papers) absent at the last edition,
  • Osaka University (4 papers) absent at the last edition,
  • Chuo University (4 papers) absent at the last edition,
  • Hokkaido University (4 papers) absent at the last edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 89.47% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 0.00% were posted by at least one author from the top 10 institutions publishing in the journal. Another 0.00% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 0.00% of all publications and 100.00% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

  • Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
  • Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
  • Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
  • Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
  • Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.

Top Publications

  • Boundedness for a nonlocal reaction chemotaxis model even in the attraction-dominated regime

    (2020)
    125 Citations
  • Fractional integro-differential equations with dual anti-periodic boundary conditions

    Bashir Ahmad;Ymnah Alruwaily;Ahmed Alsaedi;Juan J. Nieto

    (2020)
    25 Citations
  • A new deduction of the strict sub-additive inequality and its application: Ground state normalized solution to Schrödinger equations with potential

    (2023)
    15 Citations
  • Nonhomogeneous systems involving critical or subcritical nonlinearities

    Mousomi Bhakta;Souptik Chakraborty;Patrizia Pucci

    (2020)
    9 Citations
  • Inhomogeneous Neumann-boundary value problem for nonlinear Schrödinger equations in the upper half-space

    (2021)
    7 Citations
  • New results for convergence problem of fractional diffusion equations when order approach to $1^-$

    (2023)
    5 Citations
  • Existence of normalized solutions for the planar Schrödinger-Poisson system with exponential critical nonlinearity

    (2021)
    5 Citations
  • Inhomogeneous Neumann-boundary value problem for nonlinear Schrödinger equations in the upper half-space

    Nakao Hayashi;Elena I. Kaikina;Takayoshi Ogawa

    (2021)
    4 Citations
  • Traveling waves for a three-species competition system with two weak aboriginal competitors

    (2022)
    4 Citations
  • A varifold formulation of mean curvature flow with Dirichlet or dynamic boundary conditions

    Yoshikazu Giga;Fumihiko Onoue;Keisuke Takasao

    (2021)
    3 Citations

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Best Scientists Contributing to This Journal