Demonstratio Mathematica
Scope & Guideline
Advancing Mathematical Knowledge for All
Introduction
Aims and Scopes
- Fractional Calculus and Differential Equations:
The journal extensively covers topics related to fractional calculus, exploring its applications in differential equations, stability theory, and boundary value problems. - Numerical Methods and Algorithms:
Research on innovative numerical methods, including finite difference methods, iterative algorithms, and approximation techniques for solving complex mathematical models, is a core focus. - Functional and Operator Theory:
Papers often delve into the properties of various operators, including bounded linear operators, and explore their applications in functional analysis and operator theory. - Fixed Point Theory and Its Applications:
The journal features studies on fixed point theorems, including new results and generalizations in metric spaces, with applications in various mathematical problems. - Mathematical Modeling and Control Theory:
There is a significant emphasis on mathematical modeling of real-world phenomena, particularly in control theory, dynamical systems, and epidemiological models. - Topology and Geometry:
Research addressing topological spaces, geometric properties, and their applications in various mathematical contexts is frequently published.
Trending and Emerging
- Fractional Differential Equations:
There is a growing trend in the exploration of fractional differential equations, reflecting their increasing relevance in modeling complex dynamic systems across various fields. - Machine Learning and Data Analysis:
Recent publications indicate a rising interest in the intersection of mathematics with machine learning and data analysis, showcasing innovative applications of mathematical theories in computational contexts. - Stability Analysis of Dynamical Systems:
An increasing number of papers are dedicated to the stability analysis of various dynamical systems, indicating a trend towards understanding long-term behaviors and solution properties. - Applications of Topological Methods:
Emerging research is highlighting the applications of topological methods in various mathematical problems, emphasizing the relevance of topology in contemporary mathematical research. - Complex and Hybrid Systems:
There is a notable trend towards studying complex and hybrid systems, particularly in the context of mathematical modeling and control, reflecting a shift towards interdisciplinary approaches in mathematical research.
Declining or Waning
- Classical Analysis Techniques:
Papers focusing on traditional methods of classical analysis, such as elementary techniques in calculus or basic function theory, appear to be less common as the journal shifts towards more advanced and specialized topics. - Elementary Algebraic Structures:
Research concerning basic algebraic structures, such as simple groups or elementary number theory, seems to be waning, with a noticeable move towards more complex algebraic frameworks and applications. - Basic Probability Theory:
There is a noticeable decline in papers dedicated to fundamental concepts in probability theory, with fewer contributions focusing solely on classical probabilistic models.
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