International Journal of Differential Equations
Scope & Guideline
Pioneering Discoveries in Applied Mathematics
Introduction
Aims and Scopes
- Theory of Differential Equations:
The journal emphasizes the theoretical foundations of differential equations, including existence and uniqueness theorems, stability analysis, and qualitative behavior of solutions. - Fractional Differential Equations:
There is a significant focus on fractional calculus and its applications, exploring fractional differential and integral equations and their implications in various scientific domains. - Numerical Methods and Computational Techniques:
The journal publishes research on numerical methods for solving differential equations, including analytical and approximate solutions, with applications to real-world problems. - Applications in Mathematical Biology and Physics:
Research that applies differential equations to model biological systems, such as epidemiological models, and physical phenomena, including fluid dynamics and reaction-diffusion processes, is a core area of publication. - Control Theory and Optimization:
The journal features studies on optimal control problems and stability analysis within the context of differential equations, highlighting their importance in engineering and economic modeling.
Trending and Emerging
- Fractional Calculus and Its Applications:
The increasing number of papers on fractional-order differential equations highlights a trend toward exploring their applications in various fields, particularly in modeling complex systems that exhibit memory and hereditary properties. - Stability and Control in Nonlinear Systems:
Recent publications emphasize stability analysis and control strategies for nonlinear systems, indicating a growing interest in applying differential equations to control theory and engineering problems. - Epidemiological Modeling:
The surge in studies related to epidemiological models, particularly in the context of COVID-19 and other diseases, shows an emerging focus on using differential equations to inform public health strategies and responses. - Numerical Simulations and Computational Methods:
There is a marked trend towards employing advanced numerical methods and simulations, reflecting an increasing recognition of the importance of computational techniques in solving complex differential equations. - Interdisciplinary Applications:
The journal is seeing a rise in interdisciplinary research that applies differential equations to diverse fields, including ecology, economics, and social sciences, showcasing the versatility of differential equations in modeling real-world problems.
Declining or Waning
- Classical Ordinary Differential Equations (ODEs):
There is a noticeable decrease in publications focusing solely on classical ODEs without fractional or complex extensions, suggesting a shift towards more advanced topics. - Single-Method Approaches:
Research that relies on singular methods for solving differential equations appears to be waning, as there is an increasing preference for hybrid or multi-method approaches that enhance solution accuracy and applicability. - Static Models Without Dynamic Considerations:
Papers focusing on static or equilibrium models without dynamic analysis are becoming less frequent, indicating a trend towards more dynamic and time-dependent studies.
Similar Journals
Journal of Applied Mathematics
Fostering collaboration in mathematical research.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.
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Where Rigorous Research Meets Practical ApplicationCOMMUNICATIONS ON PURE AND APPLIED ANALYSIS, published by the American Institute of Mathematical Sciences (AIMS), is a pivotal journal that serves the fields of pure and applied mathematics. With an ISSN of 1534-0392 and an E-ISSN of 1553-5258, this journal showcases rigorous research findings that span a myriad of topics within mathematical analysis and its applications. Given its impressive Q2 ranking in both Analysis and Applied Mathematics categories, it is recognized for its significant contributions, ranking 92nd out of 193 in Analysis and 369th out of 635 in Applied Mathematics according to Scopus. The journal, running continuously from 2004 to 2024, invites submissions that push the boundaries of mathematical thought and practice. While it operates under a traditional access model, the journal's comprehensive scope and burgeoning impact factor underscore its importance for researchers, professionals, and students who seek to engage deeply with current mathematical advancements.
Qualitative Theory of Dynamical Systems
Unlocking the Secrets of Qualitative DynamicsQualitative Theory of Dynamical Systems, published by SPRINGER BASEL AG, is a prestigious academic journal that serves as a central platform for the dissemination of research in the realms of applied mathematics and discrete mathematics. With an ISSN of 1575-5460 and an E-ISSN of 1662-3592, this journal has established itself with a strong impact, ranking in the Q2 category for both applied mathematics and discrete mathematics and combinatorics as of 2023. Having converged over critical years—from 1999 to 2005 and from 2008 to 2025—it aims to publish high-quality, peer-reviewed articles that contribute to the understanding of dynamical systems through qualitative methods. With a Scopus rank placing it in the top twenty of discrete mathematics and combinatorics as well as a respectable position in applied mathematics, the journal is considered essential for researchers, professionals, and students looking to stay abreast of the latest theoretical and practical advancements in these vibrant fields. While the journal currently does not offer open access options, its commitment to rigorous scientific inquiry and innovation ensures its lasting significance in mathematical literature.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Driving Progress in Analysis and Applied MathematicsIntroducing the SIAM Journal on Mathematical Analysis, a premier publication in the field of mathematics, focusing on cutting-edge research and developments in analysis, applied mathematics, and computational mathematics. Published by SIAM Publications, this journal is distinguished by its impactful contributions to both theoretical and practical aspects of mathematical analysis, boasting a notable Q1 ranking in multiple categories according to 2023 metrics. With an ISSN of 0036-1410 and an E-ISSN of 1095-7154, the journal has been an essential resource since its inception in 1976, providing a platform for innovative research that fuels advancements across various scientific and engineering disciplines. Researchers and professionals looking to stay at the forefront of their fields will find this journal's rigorous peer-review process and high-quality articles invaluable. While currently not offering Open Access, the journal remains committed to disseminating important mathematical findings that influence both academia and industry. Join the community of scholars dedicated to pushing the boundaries of mathematical analysis at 3600 Univ City Science Center, Philadelphia, PA 19104-2688.
Advances in Nonlinear Analysis
Pioneering Insights in Nonlinear MathematicsAdvances in Nonlinear Analysis is a highly regarded academic journal dedicated to the exploration and dissemination of research in the field of nonlinear analysis. Published by DE GRUYTER POLAND SP Z O O, this journal has established itself as a pivotal resource for scholars and practitioners, achieving an impressive Q1 ranking in the Mathematics - Analysis category, and placing in the top 97th percentile within its discipline as per the latest Scopus rankings. With an Open Access model since 2018, Advances in Nonlinear Analysis ensures that cutting-edge research is readily accessible to a global audience, promoting the advancement of knowledge without barriers. Covering a broad spectrum of topics within nonlinear analysis, this journal invites contributions that involve either theoretical or applied aspects, making it an essential platform for exchanging innovative ideas and results in this dynamic field. Researchers, professionals, and students alike will find this journal invaluable for staying abreast of the latest developments and methodologies in nonlinear analysis.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Transforming Theory into Real-World SolutionsNONLINEAR 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.
Advances in Mathematical Physics
Connecting Scholars through Pioneering ResearchAdvances in Mathematical Physics is a premier open-access journal published by HINDAWI LTD, dedicated to the dissemination of research in the fields of applied mathematics and physics. With its ISSN 1687-9120 and E-ISSN 1687-9139, this journal has been a vital platform for innovative studies since its inception in 2009, fostering a collaborative environment for researchers and professionals alike. The journal features a wide range of topics, including but not limited to mathematical models, computational physics, and interdisciplinary applications, thus attracting a diverse readership. Ranked in the Q3 quartile for both Applied Mathematics and Physics and Astronomy, it serves as a significant resource for academics looking to explore cutting-edge developments and theoretical advancements. With an emphasis on open accessibility, Advances in Mathematical Physics ensures that research findings are readily available to the global academic community, leveling the playing field for emerging scholars and seasoned researchers. By consistently showcasing high-quality manuscripts, the journal contributes substantially to the fields of mathematics and physics, encouraging scholarly dialogue and advancing knowledge across a myriad of applications.
JOURNAL OF EVOLUTION EQUATIONS
Fostering breakthroughs in mathematical evolution analysis.Welcome to the JOURNAL OF EVOLUTION EQUATIONS, a leading academic journal published by SPRINGER BASEL AG, dedicated to the field of mathematics, with a specific emphasis on the analysis of evolution equations. Since its inception in 2001, this journal has become a central platform for researchers and professionals to disseminate innovative findings and theoretical advancements in the domain. With a commendable Q1 ranking in the category of Mathematics (miscellaneous) and a Scopus position of Rank #24/90, it reflects the esteemed quality and impact of the research it publishes. The journal aims to foster scholarly communication by covering all aspects of evolution equations, including their applications to various fields. While currently not available as an open-access publication, it offers access through various academic institutions, ensuring that high-quality research remains accessible to the scientific community. As it approaches its converged years of publication up to 2024, JOURNAL OF EVOLUTION EQUATIONS continues to be an invaluable resource for anyone seeking to expand their knowledge and understanding in this critical area of mathematical study.
Trudy Instituta Matematiki i Mekhaniki UrO RAN
Pioneering Research in Computational Mechanics and MathematicsTrudy Instituta Matematiki i Mekhaniki UrO RAN, a prestigious journal published by the KRASOVSKII INST MATHEMATICS & MECHANICS URAL BRANCH RUSSIAN ACAD SCIENCES, serves as a vital platform for the dissemination of research in the diverse fields of applied mathematics, computational mechanics, and computer science applications. With a dedicated focus on advancing theoretical and practical applications within these disciplines, the journal emphasizes innovative methodologies and novel concepts that are crucial in an era where mathematical techniques are increasingly intertwined with emerging technologies. Although currently not an open-access publication, the journal caters to a niche yet expansive audience of researchers, academics, and professionals, providing insights into current trends and breakthroughs. Notably, it holds a commendable position in various quartiles — Q3 in Applied Mathematics and Q2 in Computational Mechanics as of 2023, reflecting its growing influence within the scientific community. While its Scopus rankings indicate a competitive landscape, this journal continues to be a significant resource for scholarly discourse, making substantial contributions to the body of knowledge for its readers based in the Russian Federation and beyond.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Elevating Knowledge in Applied Mathematics and PhysicsZEITSCHRIFT 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.