Bulletin of Mathematical Analysis and Applications
Scope & Guideline
Bridging Theory and Practice in Mathematical Analysis
Introduction
Aims and Scopes
- Mathematical Analysis:
The journal emphasizes rigorous mathematical analysis, including but not limited to fixed point theory, convergence, and stability analysis, exploring both traditional and modern techniques. - Differential Equations:
A significant portion of the journal's publications revolves around differential equations, particularly semilinear and fractional equations, showcasing their applications in various fields. - Metric Spaces and Topology:
The exploration of properties of metric spaces, including quasi-metric spaces and fuzzy normed spaces, is a core focus, reflecting the journal's interest in topology and functional analysis. - Operator Theory:
Research related to operators, including their properties and applications in functional spaces, is consistently featured, highlighting the journal's dedication to operator theory. - Statistical Convergence:
The journal publishes works on statistical convergence, particularly in the context of sequences and functions, which is a crucial aspect of modern analysis. - Applications of Mathematical Concepts:
There is a strong emphasis on applying mathematical theories to real-world problems, particularly in physics, engineering, and economics, demonstrating the journal's commitment to practical applications.
Trending and Emerging
- Nonlinear Differential Equations:
There is an increasing trend towards the study of nonlinear differential equations, particularly in the context of impulsive systems and fractional calculus, indicating a growing interest in complex dynamic systems. - Fixed Point Theory:
Recent works have shown a resurgence in fixed point theory, particularly in generalized and fuzzy settings, which suggests a renewed interest in this foundational topic. - Fuzzy and Rough Set Theory:
Emerging research on fuzzy and rough set theories highlights their applicability in various mathematical contexts, reflecting a growing trend in the study of uncertainty and imprecision. - Neutrosophic Analysis:
The exploration of neutrosophic metric spaces represents an innovative approach to analysis, indicating the journal's engagement with cutting-edge mathematical concepts. - Statistical Summability Techniques:
There is an upward trend in the use of statistical summability techniques, emphasizing their relevance in modern analysis and applications in mathematical modeling.
Declining or Waning
- Classical Function Theory:
The exploration of classical function theory and its traditional applications has decreased, possibly due to the rise of more advanced and abstract mathematical concepts. - Basic Algebraic Structures:
There has been a noticeable decline in papers focusing on elementary algebraic structures, as the journal's focus shifts towards more complex analysis and operator theory. - Discrete Mathematics:
Research related to discrete mathematics, including combinatorial aspects, appears less frequently, which may reflect a broader shift in the journal's thematic focus. - Elementary Statistical Methods:
The journal has moved away from basic statistical methods and approaches, favoring more advanced topics in statistical convergence and fuzzy analysis.
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