Facta Universitatis-Series Mathematics and Informatics
Scope & Guideline
Pioneering Discoveries: Shaping the Future of Science through Mathematics
Introduction
Aims and Scopes
- Mathematical Analysis:
The journal emphasizes research in mathematical analysis, including fixed point theory, convergence properties, and inequalities, which are foundational to both theoretical and applied mathematics. - Algebra and Algebraic Structures:
Research on algebraic structures such as rings, hyperrings, and algebraic systems is a core focus, highlighting innovative approaches to traditional problems and the development of new algebraic theories. - Geometric and Topological Studies:
The journal publishes studies on various geometrical and topological aspects, including curvature properties, manifold theory, and geometric inequalities, contributing to the broader understanding of geometry in mathematical contexts. - Differential Equations and Dynamical Systems:
A significant portion of the research involves differential equations, including fractional and impulsive differential equations, reflecting the journal's commitment to addressing dynamic systems and their complexities. - Fuzzy Sets and Applications:
The journal has a strong interest in fuzzy logic and its applications, particularly in the context of fuzzy differential equations and fuzzy metric spaces, which are increasingly relevant in applied mathematics. - Computational Techniques and Numerical Analysis:
Research that involves numerical methods for solving mathematical problems, particularly in optimization and differential equations, is a prominent theme, showcasing the journal's applied mathematics perspective.
Trending and Emerging
- Fractional Calculus and Differential Equations:
There is an increasing interest in fractional calculus, particularly in the context of differential equations, reflecting a trend towards exploring more generalized forms of mathematical modeling. - Fixed Point Theory and Its Applications:
Recent papers have shown a heightened focus on fixed point theorems, particularly in metric and partial metric spaces, highlighting their relevance in various mathematical and applied contexts. - Geometric Analysis and Manifold Theory:
Emerging themes in geometric analysis, particularly regarding specific types of manifolds and their curvature properties, indicate a growing interest in the intersection of geometry and analysis. - Computational Mathematics and Algorithm Development:
The trend towards developing new algorithms and numerical methods for solving complex mathematical problems is gaining traction, showcasing the journal's commitment to applied mathematics. - Fuzzy and Intuitionistic Fuzzy Sets:
An increase in research related to fuzzy sets and their applications indicates a trend towards incorporating uncertainty and vagueness in mathematical modeling, reflecting contemporary challenges in various fields.
Declining or Waning
- Traditional Statistical Methods:
There has been a noticeable decrease in papers dealing with classical statistical methods and convergence in traditional statistical contexts, possibly due to the rise of more advanced statistical techniques and computational approaches. - Elementary Number Theory:
Research focusing on elementary number theory and its applications seems to be waning, as more complex algebraic structures and their applications take precedence in current mathematical discourse. - Basic Graph Theory:
Although graph theory remains an important area, the focus on basic properties and classical results appears to be diminishing in favor of more specialized and advanced topics within algebraic and geometric graph theory.
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