AIMS Mathematics

Scope & Guideline

Connecting theory and application in the world of mathematics.

Introduction

Welcome to your portal for understanding AIMS Mathematics, featuring guidelines for its aims and scope. Our guidelines cover trending and emerging topics, identifying the forefront of research. Additionally, we track declining topics, offering insights into areas experiencing reduced scholarly attention. Key highlights include highly cited topics and recently published papers, curated within these guidelines to assist you in navigating influential academic dialogues.
LanguageEnglish
ISSN-
PublisherAMER INST MATHEMATICAL SCIENCES-AIMS
Support Open AccessNo
Country-
Type-
Converge-
AbbreviationAIMS MATH / AIMS Math.
Frequency6 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressPO BOX 2604, SPRINGFIELD, MO 65801-2604, UNITED STATES

Aims and Scopes

AIMS Mathematics is a multidisciplinary journal that focuses on a wide array of mathematical theories, methodologies, and applications. It aims to publish high-quality research that contributes to the advancement of mathematical sciences, with particular emphasis on applied mathematics, computational mathematics, and mathematical modeling.
  1. Applied Mathematics and Mathematical Modeling:
    The journal emphasizes research that applies mathematical concepts and techniques to solve real-world problems across various fields such as physics, engineering, biology, finance, and social sciences.
  2. Fractional Calculus and Differential Equations:
    A significant focus is placed on fractional calculus, including the study of fractional differential equations, which are crucial in modeling phenomena in viscoelastic materials, control theory, and dynamic systems.
  3. Numerical Analysis and Computational Methods:
    The journal publishes papers that propose new numerical methods, algorithms, and computational techniques for solving mathematical problems, particularly those related to differential equations and optimization.
  4. Stochastic Processes and Random Models:
    Research related to stochastic processes, including epidemiological models, economic systems, and various random phenomena, is a core area of interest, reflecting the journal's commitment to addressing uncertainties in mathematical models.
  5. Fuzzy and Intuitionistic Fuzzy Sets:
    The use of fuzzy logic and intuitionistic fuzzy sets in decision-making processes, optimization problems, and data analysis is extensively explored, showcasing the journal's interdisciplinary approach.
  6. Graph Theory and Combinatorial Mathematics:
    The journal includes studies in graph theory, focusing on combinatorial properties, graph algorithms, and their applications in network theory and computer science.
  7. Mathematical Foundations and Theoretical Studies:
    Theoretical advancements in pure mathematics, including algebra, topology, and analysis, are also featured, contributing to the foundational aspects of mathematical sciences.
AIMS Mathematics has seen several emerging themes that reflect current trends in mathematical research. These themes indicate areas of growth and increased interest among researchers, aligning with global challenges and technological advancements.
  1. Machine Learning and Data Science Applications:
    There is a growing interest in applying mathematical theories to machine learning and data science, particularly in developing algorithms for data analysis, prediction models, and optimization techniques.
  2. Fractional Differential Equations:
    Research involving fractional differential equations has surged, driven by their applications in various fields such as physics, engineering, and biology, particularly in modeling complex dynamic systems.
  3. Complex Systems and Nonlinear Dynamics:
    There is an increasing focus on complex systems and nonlinear dynamics, reflecting the need for advanced mathematical tools to understand chaotic behavior in various scientific fields.
  4. Stochastic Modeling and Simulation:
    The trend towards stochastic modeling, particularly in epidemiological studies and financial mathematics, highlights the importance of incorporating uncertainty into mathematical models.
  5. Fuzzy and Soft Computing Techniques:
    The application of fuzzy logic and soft computing techniques in decision-making, optimization, and various engineering problems is gaining traction, indicating a shift towards more flexible modeling approaches.
  6. Mathematical Biology and Epidemiology:
    The intersection of mathematics and biology, particularly in modeling infectious diseases and ecological systems, is becoming increasingly prominent, especially in the context of global health challenges.

Declining or Waning

While AIMS Mathematics continues to thrive in many research areas, some themes have shown a decline in prominence. This trend may reflect shifts in researcher interests or the maturation of certain topics within the field.
  1. Traditional Algebraic Techniques:
    The focus on classical algebraic methods has waned, as more researchers gravitate towards computational and applied approaches, particularly in the context of real-world applications.
  2. Basic Statistical Methods:
    There is a noticeable decline in publications centered on basic statistical methods, as the field evolves towards more complex modeling techniques that incorporate machine learning and advanced statistical theories.
  3. Elementary Number Theory:
    Papers focusing solely on elementary number theory have decreased, possibly due to a shift towards more applied aspects of mathematics or number theory that intersect with computational methods.
  4. Deterministic Models in Epidemiology:
    Research on purely deterministic models in epidemiology has seen a reduction, as the mathematical community increasingly incorporates stochastic elements to better model real-world uncertainties.
  5. Classical Geometry:
    The exploration of classical geometric theories appears to be less prevalent, with contemporary research trends favoring geometric applications in more complex mathematical contexts, such as algebraic geometry and topology.

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