Advances in Difference Equations

Scope & Guideline

Exploring the Frontiers of Mathematical Innovation

Introduction

Delve into the academic richness of Advances in Difference Equations with our guidelines, detailing its aims and scope. Our resource identifies emerging and trending topics paving the way for new academic progress. We also provide insights into declining or waning topics, helping you stay informed about changing research landscapes. Evaluate highly cited topics and recent publications within these guidelines to align your work with influential scholarly trends.
LanguageEnglish
ISSN1687-1847
PublisherSPRINGER
Support Open AccessYes
CountryUnited States
TypeJournal
Convergefrom 2004 to 2021 (coverage discontinued in Scopus)
AbbreviationADV DIFFER EQU-NY / Adv. Differ. Equ.
Frequency1 issue/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressONE NEW YORK PLAZA, SUITE 4600 , NEW YORK, NY 10004, UNITED STATES

Aims and Scopes

The journal 'Advances in Difference Equations' primarily focuses on the development and analysis of mathematical models and theories related to difference equations, differential equations, and their applications across various fields. It aims to provide a platform for researchers to present their findings and advancements in methodologies, stability analysis, and modeling of complex systems.
  1. Mathematical Modeling and Analysis:
    The journal emphasizes the creation and analysis of mathematical models, particularly in the context of differential and difference equations. This includes applications in biology, physics, and engineering, where models simulate real-world phenomena.
  2. Stability and Oscillation Theory:
    A significant focus is on the stability and oscillation criteria of various differential and difference equations. Researchers contribute findings on conditions that affect the stability of solutions, which is critical for understanding the behavior of dynamic systems.
  3. Numerical Methods and Approximations:
    The journal publishes work on numerical techniques and methods for solving both linear and nonlinear difference and differential equations. This includes innovative approaches to improve accuracy and efficiency in computational solutions.
  4. Fractional Calculus:
    There is a growing interest in the application of fractional calculus within the journal, addressing fractional differential equations and their unique properties, which have applications in various scientific fields.
  5. Fixed Point Theory:
    The journal explores fixed point theorems and their applications in solving differential equations, providing a theoretical foundation for ensuring the existence and uniqueness of solutions.
  6. Applications in Epidemiology and Ecology:
    Recent publications have increasingly focused on mathematical models relevant to epidemiology and ecological systems, reflecting the journal's commitment to addressing contemporary global challenges.
The journal has seen several emerging themes that reflect current trends in research. These areas indicate a shift in focus towards more complex and applicable mathematical modeling techniques, particularly in response to global challenges.
  1. Fractional Differential Equations:
    The interest in fractional differential equations has surged, with numerous papers exploring their properties, applications, and numerical solutions. This trend reflects a broader acceptance and application of fractional calculus in modeling complex systems.
  2. Epidemiological Modeling:
    A significant increase in publications related to epidemiological models, particularly in the context of COVID-19 and other infectious diseases. This reflects the urgent need for mathematical frameworks to inform public health responses.
  3. Stochastic Models:
    There is a growing trend towards incorporating stochastic elements in models, recognizing the inherent uncertainties in real-world systems. This includes stochastic differential equations that better capture dynamic behaviors in complex environments.
  4. Multi-Scale and Multi-Dimensional Models:
    Emerging research increasingly focuses on multi-scale and multi-dimensional models that can capture the interactions between various biological or ecological factors, reflecting a more holistic approach to mathematical modeling.
  5. Numerical Analysis Techniques:
    There has been a rise in innovative numerical methods and algorithms aimed at solving complex differential equations, showcasing advancements in computational mathematics and its applications.

Declining or Waning

While the journal continues to thrive in several core areas, certain themes have seen a reduction in focus over recent years. These waning scopes may reflect shifts in research interest or emerging priorities within the mathematical community.
  1. Traditional Differential Equations:
    There has been a noticeable decline in publications focusing solely on classical differential equations without the integration of fractional or difference aspects, as the field moves towards more complex and nuanced models.
  2. Single-Dimensional Models:
    Research focusing exclusively on one-dimensional mathematical models appears to be decreasing, with a trend towards multi-dimensional and more complex systems that better represent real-world phenomena.
  3. Static Models:
    There is a waning interest in static or equilibrium models, with a shift towards dynamic models that incorporate time-dependent variables and interactions, particularly in biological and ecological contexts.
  4. Purely Theoretical Contributions:
    There has been less emphasis on purely theoretical contributions without practical applications, as the journal increasingly prioritizes research that demonstrates real-world relevance and application.

Similar Journals

Nonlinear Analysis-Modelling and Control

Catalyzing knowledge and fostering innovation in mathematics.
Publisher: VILNIUS UNIV, INST MATHEMATICS & INFORMATICSISSN: 1392-5113Frequency: 6 issues/year

Nonlinear Analysis-Modelling and Control is a leading open-access journal published by the Vilnius University, Institute of Mathematics and Informatics, nestled in the heart of Lithuania. Since its inception in 2009, the journal has been committed to advancing the field of nonlinear analysis through rigorous research and comprehensive modelling techniques. With an impressive Q2 category ranking in both Analysis and Applied Mathematics for 2023, it stands out with its strong academic influence reflected in its Scopus ranking, where it is positioned in the top 12% percentile for Mathematics - Analysis and the top 24% for Mathematics - Applied Mathematics. This journal not only serves as a platform for pioneering research but also emphasizes interdisciplinary collaboration in addressing complex mathematical and control problems. Its open-access policy since 2017 ensures that its findings are readily accessible to a global audience, fostering knowledge dissemination and innovation across the mathematical community. Researchers, professionals, and students will find Nonlinear Analysis-Modelling and Control an essential resource for the latest developments and applications in nonlinear systems.

Journal of Analysis

Elevating Knowledge in Analysis and Applied Mathematics
Publisher: SPRINGERNATUREISSN: 0971-3611Frequency: 4 issues/year

The Journal of Analysis, published by SPRINGERNATURE, serves as a crucial platform for disseminating advanced research in the fields of mathematics, particularly focusing on Algebra, Number Theory, Analysis, Applied Mathematics, Geometry, Topology, and Numerical Analysis. Since its inception in 2016, this journal has aimed to foster knowledge-sharing and innovation among researchers, professionals, and students. Boasting a diverse scope and a commitment to high-quality research, the journal is indexed in various categories with rankings that reflect its growing influence, particularly in Algebra and Number Theory (Q4), Analysis (Q3), and Applied Mathematics (Q3), among others. With an ISSN of 0971-3611 and E-ISSN of 2367-2501, it offers insightful articles that contribute to the ongoing discourse in mathematics. The journal is located in Germany, ensuring a European perspective while also welcoming global contributions. Researchers seeking to enhance their understanding and impact in their respective fields will find this journal an invaluable resource.

Computational Methods for Differential Equations

Transforming Complex Problems into Computational Solutions
Publisher: UNIV TABRIZISSN: 2345-3982Frequency: 4 issues/year

Computational Methods for Differential Equations is a prominent academic journal dedicated to the exploration and application of computational techniques in the realm of differential equations. Published by UNIV TABRIZ, this open-access journal has been providing unrestricted access to groundbreaking research since 2013, making it a valuable resource for the global academic community, particularly in Iran. It has carved out a niche within the fields of Algebra and Number Theory, Applied Mathematics, and Numerical Analysis, maintaining a Q3 quartile ranking in 2023 across these categories. Researchers, professionals, and students alike will find the journal's commitment to disseminating innovative computational methodologies essential for advancing knowledge and developing robust solutions to complex mathematical problems. With its ISSN 2345-3982 and E-ISSN 2383-2533, the journal ensures wide visibility and accessibility, serving a diverse audience and promoting scholarly discourse.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Innovating Insights in Applied Mathematics
Publisher: AMER INST MATHEMATICAL SCIENCES-AIMSISSN: 1531-3492Frequency: 10 issues/year

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, published by the American Institute of Mathematical Sciences (AIMS), is a premier journal in the fields of Applied Mathematics and Discrete Mathematics and Combinatorics. With an ISSN of 1531-3492 and an E-ISSN of 1553-524X, the journal addresses significant advances in the mathematical sciences, particularly focusing on the analysis of dynamical systems through discrete and continuous approaches. As recognized in the 2023 Scopus ranks, it holds a commendable position, being classified in the Q2 category for both its mathematical domains, reflecting its high-quality publications and substantial impact on ongoing research. With a converged publication timeline from 2001 to 2025, the journal plays an essential role in facilitating innovative mathematical discourse, making it an invaluable resource for researchers, professionals, and students eager to explore the latest developments and applications in this dynamic field. Although specific open access options are not currently stated, the journal remains committed to disseminating valuable content for those passionate about the intricacies of mathematical systems.

RICERCHE DI MATEMATICA

Advancing Knowledge at the Intersection of Theory and Application
Publisher: SPRINGER-VERLAG ITALIA SRLISSN: 0035-5038Frequency: 2 issues/year

RICERCHE DI MATEMATICA, published by SPRINGER-VERLAG ITALIA SRL, is a prominent academic journal situated at the intersection of mathematics and its applications, with an ISSN of 0035-5038 and an E-ISSN of 1827-3491. Based in Italy, this journal serves as a crucial platform for disseminating innovative research findings and theoretical advancements in the diverse fields of applied mathematics and general mathematics, currently ranked in the Q3 quartile as per the 2023 category evaluations. The journal's standing is underlined by its impressive Scopus rankings, securing the 61st position out of 399 in General Mathematics and the 224th in Applied Mathematics, placing it well within the 84th and 64th percentiles respectively. Catering to a global audience of researchers, professionals, and students, RICERCHE DI MATEMATICA not only celebrates mathematical exploration but also enhances understanding through open discourse by fostering connections among scholars from various mathematical disciplines. With a converged publication cycle spanning from 2007 to 2024, the journal is committed to promoting high-quality research that shapes the future of mathematical sciences.

Studia Universitatis Babes-Bolyai Mathematica

Connecting Theory and Practice in Mathematical Research
Publisher: UNIV BABES-BOLYAIISSN: 0252-1938Frequency: 4 issues/year

Studia Universitatis Babes-Bolyai Mathematica is a prestigious journal published by UNIV BABES-BOLYAI in Romania, dedicated to advancing the field of mathematics and its diverse applications. With an ISSN of 0252-1938 and E-ISSN 2065-961X, this journal has carved out its niche in the Q3 category of miscellaneous mathematics as of 2023, ranking 315 out of 399 in the Scopus Mathematics General category, reflecting its commitment to quality and relevance in mathematical research. Covering a wide range of mathematical topics, it seeks to foster scholarly dialogue and innovation among researchers, practitioners, and students. Although it operates under a traditional access model, the journal remains a vital resource for the mathematical community, inviting submissions that contribute to theoretical advancements and practical applications. Established in 2016, Studia Universitatis Babes-Bolyai Mathematica is poised to remain a central platform for groundbreaking research through 2024 and beyond, making it an essential addition to the libraries of those engaged in mathematical study and discourse.

Journal of Function Spaces

Unlocking the Potential of Function Spaces Research
Publisher: HINDAWI LTDISSN: 2314-8896Frequency:

Welcome to the Journal of Function Spaces, an esteemed publication dedicated to advancing the field of mathematical analysis with a specific focus on function spaces. Published by HINDAWI LTD since 2003, this open access journal benefits from an extensive global readership, enabling researchers, professionals, and students to freely share and access influential research. With an impressive Scopus rank of #16 out of 193 in the Mathematics - Analysis category, and positioned in the Q3 quartile, the journal confirms its status as a valuable resource within the academic community. The journal fosters high-quality research aimed at elucidating various aspects of function spaces, thus contributing significantly to the theories and applications foundational in modern analysis. With its headquarters in London, England, it embraces innovation and accessibility, aiming to facilitate a collaborative environment for scholars to disseminate their work effectively. We invite you to explore the latest findings and contribute to the enriching discourse within this essential domain.

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

Transforming Ideas into Solutions Through Rigorous Research
Publisher: SPRINGER INT PUBL AGISSN: 0044-2275Frequency: 1 issue/year

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, published by Springer International Publishing AG, is a leading journal in the fields of applied mathematics and physics, highly regarded as evidenced by its prestigious Q1 rankings in 2023 across multiple categories, including Applied Mathematics, Mathematics (miscellaneous), and Physics and Astronomy (miscellaneous). With an ISSN of 0044-2275 and an E-ISSN of 1420-9039, this journal covers a broad spectrum of research from theoretical frameworks to practical applications, making it an indispensable resource for researchers, professionals, and students alike. With converged years running from 1950 to 2024, it offers a rich history of contributions to the scientific community and remains vital for current advancements in mathematics and physics. While not an open-access journal, its subscription model ensures high-quality, peer-reviewed content that fosters innovation and collaboration across disciplines. The journal is conveniently located in Cham, Switzerland, providing a central hub for global research dissemination in these critical areas of study.

Journal of Integral Equations and Applications

Innovating Research on Integral Equations and Their Uses.
Publisher: ROCKY MT MATH CONSORTIUMISSN: 0897-3962Frequency: 4 issues/year

Journal of Integral Equations and Applications, published by the ROCKY MT MATH CONSORTIUM, is a pivotal resource in the field of Applied Mathematics and Numerical Analysis. With its inaugural issue released in 1988, this journal has consistently served as a platform for the dissemination of innovative research and comprehensive reviews pertinent to integral equations and their multifaceted applications. Although the journal currently does not offer an open access option, it boasts a competitive standing with a 2023 Scopus ranking that places it in the Q3 category for both Applied Mathematics and Numerical Analysis, emphasizing its significance among peer publications. The ISSN 0897-3962 and E-ISSN 1938-2626 ensure its accessibility to scholars seeking to advance their understanding in these critical areas. As it strides towards its convergence goals culminating in 2024, the Journal of Integral Equations and Applications remains an essential resource for researchers, professionals, and students eager to explore the theoretical and practical applications of integral equations.

Sahand Communications in Mathematical Analysis

Bridging theory and application in mathematical research.
Publisher: UNIV MARAGHEHISSN: 2423-3900Frequency: 4 issues/year

Sahand Communications in Mathematical Analysis is a distinguished open-access journal published by the University of Maragheh in Iran, dedicated to the field of mathematical analysis and its applied branches. Since its inception in 2014, the journal has provided a valuable platform for researchers to disseminate significant findings in areas ranging from analytical methods to numerical analysis and applied mathematics. Despite its relatively recent establishment, the journal has quickly gained recognition, noted for its Q3 rankings in both Applied Mathematics and Numerical Analysis categories, and its Q4 ranking in Analysis for 2023. With an ambition to foster innovative research and facilitate scholarly dialogue, Sahand Communications in Mathematical Analysis aims to support the global mathematical community by ensuring unrestricted access to high-quality research outputs. Researchers, professionals, and students can look forward to engaging content that pushes the boundaries of mathematical inquiry through its open-access model, thus enhancing the accessibility and reach of critical mathematical discussions.