Axioms
Scope & Guideline
Exploring the Boundaries of Mathematical Knowledge.
Introduction
Aims and Scopes
- Mathematical Modeling:
The journal publishes research that emphasizes the development and application of mathematical models to solve real-world problems in various fields, including physics, engineering, economics, and biology. - Fractional Calculus:
A significant focus on fractional calculus is evident, with papers exploring fractional derivatives and integrals, highlighting their applications in modeling complex dynamic systems. - Numerical Methods and Algorithms:
Research that develops and analyzes numerical methods and algorithms for solving differential equations, integral equations, and optimization problems is a core area of interest, showcasing innovative computational techniques. - Fuzzy Logic and Decision Making:
The journal includes studies on fuzzy logic applications in decision-making processes, emphasizing multi-criteria decision-making methods that incorporate uncertainty and vagueness. - Graph Theory and Combinatorics:
Research in graph theory, including applications and theoretical developments, is well-represented, with an emphasis on combinatorial structures and their properties. - Statistical Inference:
The journal addresses advancements in statistical methods, particularly those related to inference, estimation, and hypothesis testing across diverse applications. - Applications in Engineering and Technology:
Papers that bridge mathematical theories with engineering and technological applications, particularly in optimization, control systems, and computational models, are prioritized. - Mathematical Physics:
The intersection of mathematics and physics is explored through papers that delve into mathematical formulations of physical theories, quantum mechanics, and dynamical systems.
Trending and Emerging
- Machine Learning and Data Science:
There is a growing emphasis on integrating machine learning techniques within mathematical frameworks, focusing on applications in data analysis, predictive modeling, and decision-making. - Complex Systems and Network Theory:
Research related to complex systems, particularly in relation to network theory and its applications in various domains, is gaining traction, reflecting the increasing importance of interconnected systems. - Fractional Dynamics and Control Systems:
Emerging studies on fractional dynamics, particularly in control theory, highlight the application of fractional calculus in modeling and controlling complex systems. - Mathematical Epidemiology:
The journal is increasingly publishing papers on mathematical modeling of infectious diseases, particularly in the context of recent global health challenges, showcasing the relevance of mathematical approaches in public health. - Fuzzy and Intuitionistic Fuzzy Sets:
The application of fuzzy logic and intuitionistic fuzzy sets in decision-making models is trending, indicating a shift towards incorporating uncertainty in mathematical modeling. - Optimization in Supply Chain Management:
Research focusing on optimization techniques applied to supply chain management, particularly under conditions of uncertainty and complexity, is emerging as a significant area of interest. - Quantum Computing and Information Theory:
There is a rising trend in papers exploring quantum computing and its implications for information theory, reflecting the growing intersection of mathematics with computer science and physics. - Environmental Modeling and Sustainability:
Papers addressing mathematical modeling related to environmental issues and sustainability are increasingly prevalent, indicating a shift towards addressing global challenges through mathematical approaches.
Declining or Waning
- Traditional Algebraic Structures:
Research focused on classical algebraic structures, such as groups and rings, has seen a decline as the journal shifts towards more applied mathematical fields and interdisciplinary approaches. - Elementary Number Theory:
Papers dedicated to elementary number theory appear less frequently, possibly due to a greater emphasis on applied mathematics and modeling in contemporary research. - Classic Statistical Methods:
There is a noticeable waning interest in classic statistical methodologies, as newer, more complex approaches such as machine learning and fuzzy logic increasingly dominate the publication landscape. - Purely Theoretical Mathematics:
Research that is solely theoretical without practical applications is becoming less common, with a clear trend towards papers that demonstrate real-world applicability of mathematical concepts.
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