Differential Equations & Applications

Scope & Guideline

Illuminating the Pathways of Differential Equation Applications

Introduction

Welcome to the Differential Equations & Applications information hub, where our guidelines provide a wealth of knowledge about the journal’s focus and academic contributions. This page includes an extensive look at the aims and scope of Differential Equations & Applications, highlighting trending and emerging areas of study. We also examine declining topics to offer insight into academic interest shifts. Our curated list of highly cited topics and recent publications is part of our effort to guide scholars, using these guidelines to stay ahead in their research endeavors.
LanguageEnglish
ISSN1847-120x
PublisherELEMENT
Support Open AccessNo
Country-
Type-
Converge-
AbbreviationDIFFER EQUAT APPL / Diff. Equat. Appl.
Frequency4 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressR AUSTRIJE 11, 10000 ZAGREB, CROATIA

Aims and Scopes

The journal 'Differential Equations & Applications' focuses on the mathematical theory and applications of differential equations, with a strong emphasis on both linear and nonlinear systems. It serves as a platform for researchers to present innovative methodologies and contribute to the advancement of differential equations in various applied contexts.
  1. Nonlinear Differential Equations:
    The journal publishes research on the existence, uniqueness, and stability of solutions to nonlinear differential equations, exploring various types of boundary conditions and their implications.
  2. Fractional Differential Equations:
    A significant focus is placed on fractional differential equations, which extend the concept of derivatives to non-integer orders, allowing for more complex modeling of real-world phenomena.
  3. Systems and Control Theory:
    Papers often delve into systems of differential equations, particularly in control theory, where the stability and behavior of dynamic systems are analyzed.
  4. Applications to Physics and Engineering:
    The journal showcases applications of differential equations in fields such as physics, biology, and engineering, demonstrating the practical significance of theoretical research.
  5. Mathematical Methods and Techniques:
    Research often involves the development of new mathematical methods for solving differential equations, including analytical and numerical techniques.
  6. Asymptotic and Qualitative Analysis:
    The journal emphasizes asymptotic behavior and qualitative properties of solutions, providing insights into long-term behavior and stability of differential systems.
The journal has identified several trending and emerging themes within its recent publications, reflecting the evolving landscape of research in differential equations and their applications.
  1. Fractional Calculus:
    There is a notable increase in research related to fractional calculus, focusing on the properties and applications of fractional differential equations, which are becoming increasingly relevant in modeling complex systems.
  2. Impulsive Differential Equations:
    Research on impulsive differential equations is gaining traction, as these equations incorporate sudden changes in systems, making them applicable in various scientific fields, including biology and control systems.
  3. Nonlocal Boundary Value Problems:
    Emerging studies are addressing nonlocal boundary value problems, which consider conditions that are not confined to the boundary of the domain, thus expanding the scope of differential equations applications.
  4. Dynamic Systems and Stability Analysis:
    There is an increasing focus on the stability analysis of dynamic systems, particularly in the context of non-autonomous systems, which are crucial for understanding real-world phenomena.
  5. Numerical Methods for Differential Equations:
    The development and application of advanced numerical methods for solving complex differential equations is trending, as computational approaches become more integral to research in this field.

Declining or Waning

While the journal has consistently focused on various aspects of differential equations, certain themes have seen a decline in frequency and prominence in recent publications. This may reflect shifts in research interests or the emergence of new methodologies.
  1. Basic Theoretical Frameworks:
    Earlier years saw a significant amount of research dedicated to foundational theories in differential equations. However, recent publications suggest a shift towards more application-oriented and complex systems, indicating a waning interest in purely theoretical frameworks.
  2. Elementary Differential Equations:
    There appears to be a decline in papers focusing on elementary or classical differential equations, as researchers increasingly explore advanced topics such as fractional and impulsive differential equations.
  3. Static Models:
    Research centered around static models that do not incorporate time-dependent behavior has decreased, reflecting a growing preference for dynamic systems that better represent real-world applications.
  4. Single-Variable Differential Equations:
    The journal has seen a reduction in studies focusing on single-variable differential equations, moving towards more complex multi-variable and system-based approaches.

Similar Journals

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Connecting Research with Real-World Impact
Publisher: PERGAMON-ELSEVIER SCIENCE LTDISSN: 1468-1218Frequency: 4 issues/year

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, published by PERGAMON-ELSEVIER SCIENCE LTD, is a premier academic journal dedicated to advancing the field of nonlinear analysis through rigorous research and practical applications. With an impressive impact factor and categorized in the Q1 quartile across multiple disciplines including applied mathematics, computational mathematics, and engineering, this journal stands as a vital resource for researchers, professionals, and students. Its extensive scope encompasses significant contributions from the domains of economics, medicine, and various engineering fields, making it a leading platform for interdisciplinary exchange. The journal's commitment to showcasing innovative methodologies and solutions from 2000 to 2025 not only enhances its academic prestige but also fosters real-world impact, thus catering to a diverse scholarly audience eager to explore the complexities and potentials of nonlinear phenomena. Access options vary, ensuring a wide dissemination of knowledge to drive future discoveries in this dynamic area of study.

NONLINEARITY

Navigating the Intricacies of Nonlinear Phenomena
Publisher: IOP Publishing LtdISSN: 0951-7715Frequency: 12 issues/year

NONLINEARITY is a premier academic journal published by IOP Publishing Ltd, dedicated to advancing the field of complex systems through the lens of nonlinear science. Since its inception in 1988, the journal has established itself as a vital resource for researchers and professionals alike, offering a robust platform for disseminating high-quality research in areas such as applied mathematics, mathematical physics, and statistical and nonlinear physics. With an impressive Q1 ranking across multiple pertinent categories, including Applied Mathematics and Mathematical Physics, NONLINEARITY ranks among the top journals globally, making it essential reading for those seeking to deepen their understanding of nonlinear phenomena. Although it does not operate under an open-access model, its rich repository of rigorous articles significantly contributes to academia, fostering innovative thought and facilitating cutting-edge research. Located in the heart of the United Kingdom at TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, NONLINEARITY continues to be at the forefront of the scientific community, championing new discoveries and interdisciplinary dialogue within its dynamic scope.

Electronic Journal of Differential Equations

Fostering innovation in mathematical research since 1993.
Publisher: TEXAS STATE UNIVISSN: 1072-6691Frequency:

The Electronic Journal of Differential Equations, published by Texas State University, is a premier open-access platform dedicated to the dissemination of high-quality research in the field of differential equations. Established in 1993, this journal not only promotes the accessibility of mathematical research but also fosters a collaborative approach to innovation and discovery within the mathematical community. With an impressive converged publication record from 1996 to 2024, it serves as a vital resource for researchers, professionals, and students alike, showcasing significant contributions to the discipline. Highlighted in the 2023 Scopus ranking, the journal stands in the Q3 category for Analysis with a current rank of #120 among 193 journals, placing it in the 38th percentile. The journal's commitment to open access ensures that groundbreaking findings are freely available to all, thereby enhancing its impact and reach in the ever-evolving landscape of mathematical analysis.

ASYMPTOTIC ANALYSIS

Innovating Mathematical Understanding with Asymptotic Analysis
Publisher: IOS PRESSISSN: 0921-7134Frequency: 12 issues/year

ASYMPTOTIC ANALYSIS, published by IOS PRESS, is a leading international journal dedicated to the field of mathematics, specifically focusing on asymptotic methods and their applications across various mathematical disciplines. Established in 1988, this journal has established a strong reputation, achieving a Q1 category in 2023 within the miscellaneous mathematics category, indicating its significant impact and recognition in the academic community with a Scopus rank of 120 out of 399. With a commitment to advancing theoretical knowledge and fostering mathematical innovation, ASYMPTOTIC ANALYSIS serves as an essential resource for researchers, professionals, and students alike, facilitating the dissemination of groundbreaking findings and methodologies. Although the journal does not currently offer open access, it continuously strives to maintain high editorial standards and broaden the accessibility of its content. With its focus on critical aspects of mathematics, ASYMPTOTIC ANALYSIS will surely remain at the forefront of scholarly exchange, influencing future research directions and educational practices in the mathematical sciences.

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Connecting Scholars through Cutting-edge Mathematical Research.
Publisher: TAYLOR & FRANCIS INCISSN: 0360-5302Frequency: 12 issues/year

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS is a prestigious journal published by Taylor & Francis Inc that stands at the forefront of the mathematical sciences, specifically focusing on the study and application of partial differential equations. Established in 1971, this esteemed journal has fostered rigorous academic discourse and innovative research, notably holding a strong position in the first quartile (Q1) in both Analysis and Applied Mathematics as of 2023. With an impressive Scopus ranking of 29 out of 193 in Mathematics – Analysis, and 176 out of 635 in Mathematics – Applied Mathematics, the journal serves as a critical platform for researchers, professionals, and students seeking to disseminate influential findings and developments in the field. Although it does not currently offer Open Access, its editorial standards and impactful contributions make it a vital resource for advancing knowledge in mathematical analysis and its applications. By engaging with this journal, scholars can stay updated on the latest research trends and contribute to ongoing discussions that shape the future of applied mathematics.

Opuscula Mathematica

Exploring the Frontiers of Mathematical Thought
Publisher: AGH UNIV SCIENCE & TECHNOLOGY PRESSISSN: 1232-9274Frequency: 6 issues/year

Opuscula Mathematica is an esteemed open-access journal published by AGH University of Science & Technology Press in Poland, specializing in the field of mathematics. Since its inception, it has provided a collaborative platform for researchers and scholars to share innovative mathematical insights and solutions, expanding its reach globally. With an impressive Q2 ranking in the realm of miscellaneous mathematics for 2023 and a notable Scopus ranking of Rank #139/399, it stands as a significant conduit for researchers seeking to publish high-quality, peer-reviewed articles. The journal has embraced open-access principles since 2004, ensuring that advancements in mathematical research are accessible to all. By publishing original research, reviews, and scholarly notes, Opuscula Mathematica plays a pivotal role in enhancing the visibility of vital mathematical discoveries and fostering academic discourse. Its convergence years from 2012 to 2024 highlight the journal's commitment to ongoing relevance and evolution in a dynamic research landscape.

Journal of Applied Mathematics

Innovating solutions through applied mathematics.
Publisher: HINDAWI LTDISSN: 1110-757XFrequency: 1 issue/year

Journal of Applied Mathematics, published by HINDAWI LTD, is a prominent open-access journal dedicated to advancing the field of applied mathematics. Since its inception in 2001, it has provided a vital platform for researchers and practitioners to share their findings in various areas of applied mathematical theory and its applications across disciplines. With an ISSN of 1110-757X and an E-ISSN of 1687-0042, the journal has established a respectable position within the academic community, evidenced by its ranking of #255 out of 635 in the Scopus Ranks for applied mathematics, placing it in the 59th percentile. Featuring a Q3 category quartile as of 2023, it aims to foster innovative research that bridges theoretical mathematics with real-world applications. Researchers, students, and professionals can freely access its content, promoting a collaborative approach to knowledge dissemination. With a commitment to high-quality research, the Journal of Applied Mathematics continues to play a crucial role in the evolution of applied mathematical methodologies and practices.

Journal of Dynamics and Differential Equations

Elevating Understanding in Dynamic Mathematical Systems
Publisher: SPRINGERISSN: 1040-7294Frequency: 4 issues/year

Journal of Dynamics and Differential Equations, published by SPRINGER, is a premier academic journal dedicated to advancing the understanding of dynamic systems and their mathematical foundations. Operating since its inception in 1989, the journal has become a vital resource for researchers and practitioners in the field, boasting a commendable Q1 ranking in the Analysis category as of 2023 and ranking #39 out of 193 journals in Mathematics Analysis on Scopus, placing it in the 80th percentile. While it maintains a traditional subscription model, its substantial contributions to the mathematics community—measured by a robust impact and adherence to high academic standards—make it essential reading for those engaged in differential equations and dynamical systems. The journal covers a broad scope of theoretical and applied research, positioning itself as a cornerstone for innovative studies and discussions, and ensuring its relevance to both contemporary and future mathematical inquiries.

Mediterranean Journal of Mathematics

Pioneering New Paths in Mathematics Since 2004
Publisher: SPRINGER BASEL AGISSN: 1660-5446Frequency: 1 issue/year

The Mediterranean Journal of Mathematics, published by SPRINGER BASEL AG, is a prominent platform dedicated to the advancement of mathematical research and education. Since its inception in 2004, this journal has been pivotal in disseminating high-quality research across various fields of mathematics, currently holding a notable Q2 ranking in the miscellaneous mathematics category as of 2023. With its ISSN 1660-5446 and E-ISSN 1660-5454, the journal enjoys a respected position in the academic community, evident by its Scopus rank of 129 out of 399 in General Mathematics, placing it in the 67th percentile. While primarily a subscription-based journal, it remains committed to providing a comprehensive resource for researchers, professionals, and students, fostering dialogue and exploration within the mathematical sciences. The Mediterranean Journal of Mathematics, based in Basel, Switzerland, continues to contribute significantly to the evolution of mathematical theory and practice, marking its relevance as we approach its 20th anniversary in 2024.

Memoirs on Differential Equations and Mathematical Physics

Elevating Theoretical Studies for Future Discoveries
Publisher: GEORGIAN NATL ACAD SCIENCESISSN: 1512-0015Frequency: 3 issues/year

Memoirs on Differential Equations and Mathematical Physics is a distinguished scholarly journal dedicated to advancing research in differential equations and mathematical physics, published by the Georgian National Academy of Sciences. With an ISSN of 1512-0015 and a comprehensive coverage from 1996 to 2024, this journal provides a platform for innovative research and theoretical studies that address significant problems in both mathematics and physics. Although it currently holds a Q4 quartile ranking in Analysis, Applied Mathematics, and Mathematical Physics, it continues to foster a growing repository of knowledge that plays a pivotal role in the development of these fields. Researchers and practitioners are encouraged to engage with the journal through its open access options, providing wider dissemination of its valuable content. With an emphasis on high-quality publications, Memoirs on Differential Equations and Mathematical Physics is essential reading for anyone interested in the latest advancements and methodologies in the intersection of mathematics and physics, contributing to a deeper understanding of complex systems.