European Journal of Pure and Applied Mathematics
Scope & Guideline
Pioneering New Paths in Algebra, Geometry, and Beyond
Introduction
Aims and Scopes
- Fractional Calculus and Differential Equations:
A significant portion of the journal's publications explores fractional calculus, particularly Caputo and Riemann-Liouville derivatives, and their applications in solving differential equations. - Graph Theory and Combinatorics:
The journal consistently publishes research related to graph theory, including domination in graphs, vertex cover problems, and various graph operations. - Mathematical Modeling and Numerical Methods:
Numerical simulations and mathematical modeling are core themes, addressing a range of applications from biological systems to financial mathematics, utilizing methods such as finite difference and Adomian decomposition. - Topology and Set Theory:
Research in topology, including continuity, separation axioms, and topological structures, plays a crucial role in the journal's scope, reflecting the foundational aspects of mathematics. - Algebra and Algebraic Structures:
The journal covers topics in algebra, including rings, algebras, ideals, and group theory, contributing to the understanding of algebraic structures and their properties.
Trending and Emerging
- Applied Mathematics in Biological Systems:
Recent publications have increasingly focused on mathematical modeling in biological contexts, such as disease spread models and ecological dynamics, highlighting the intersection of mathematics and life sciences. - Fuzzy Logic and Soft Computing:
There is a notable rise in research related to fuzzy sets, fuzzy algebras, and soft computing techniques, indicating a growing interest in handling uncertainty and imprecision in mathematical models. - Numerical Analysis and Computational Mathematics:
The journal has seen a surge in articles dedicated to numerical methods and their applications, particularly in solving complex differential equations and optimization problems, reflecting the importance of computational techniques in modern mathematics. - Fractional Differential Equations:
An increase in studies focusing on fractional differential equations and their applications in various fields has been observed, showcasing the expanding relevance of fractional calculus in contemporary research. - Graph Theory Applications in Network Science:
Research applying graph theory to network science, including social networks and communication networks, has gained traction, reflecting the increasing importance of mathematical frameworks in analyzing complex systems.
Declining or Waning
- Classical Analysis and Real Functions:
There is a noticeable decline in papers specifically focused on classical analysis, particularly those dealing with real-valued functions and traditional calculus topics. - Elementary Number Theory:
Research in elementary number theory, including topics like Diophantine equations and prime number theory, has become less frequent, suggesting a shift towards more advanced and abstract mathematical concepts. - Statistical Methods and Applications:
The frequency of publications related to traditional statistical methods appears to be decreasing, possibly due to the growing trend towards more complex statistical modeling and data analysis techniques.
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