TWMS Journal of Pure and Applied Mathematics
Scope & Guideline
Fostering Insights in the World of Mathematics
Introduction
Aims and Scopes
- Applied Mathematics:
The journal emphasizes the application of mathematical techniques to solve real-world problems, particularly in engineering, physics, and technology. - Fractional Calculus and Differential Equations:
A significant portion of the research published involves fractional calculus, particularly in the context of differential equations, reflecting a growing interest in non-integer order dynamics. - Fuzzy Mathematics and Decision Making:
The journal covers fuzzy logic and its applications in decision-making processes, showcasing methodologies that incorporate uncertainty and imprecision. - Algebra and Topology:
Research in algebraic structures and topological spaces is highlighted, indicating a strong foundational focus on pure mathematical concepts. - Numerical Analysis and Computational Methods:
The journal publishes papers on numerical methods for solving complex mathematical problems, particularly involving differential equations and optimization techniques. - Graph Theory and Combinatorial Mathematics:
There is a consistent interest in graph theory and its applications, particularly in the context of fuzzy graphs and networks.
Trending and Emerging
- Fractional Differential Equations:
Recent publications highlight a growing interest in fractional differential equations, which offer nuanced insights into dynamic systems and have applications in various scientific fields. - Fuzzy Logic Applications:
There is an increasing trend in the application of fuzzy logic in decision-making processes, particularly in complex systems where uncertainty is prevalent. - Mathematical Modeling in Real-World Applications:
The journal is increasingly publishing research that focuses on mathematical models applied to practical scenarios such as logistics, cancer growth dynamics, and robotics, showcasing the relevance of mathematics in solving contemporary issues. - Computational Techniques and Algorithms:
There is a notable rise in research focused on computational methods and algorithms, particularly those designed for specific applications such as quadcopter stabilization and optimization problems. - Interdisciplinary Approaches:
Emerging themes reflect an interdisciplinary approach, integrating mathematics with fields like artificial intelligence, thermodynamics, and economics, highlighting the versatility of mathematical applications.
Declining or Waning
- Classical Analysis Techniques:
There seems to be a decreasing focus on classical analysis methods, such as traditional calculus and elementary function theory, as researchers lean towards more advanced and specialized mathematical tools. - Basic Statistical Methods:
The application of basic statistical techniques has diminished, possibly due to the emergence of more complex statistical models and computational approaches that better address modern data challenges. - Conventional Mathematical Models in Physics:
There is less emphasis on conventional mathematical modeling techniques used in physics, as research trends shift towards more sophisticated models that incorporate fractional calculus and non-local interactions.
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