Journal of Analysis
Scope & Guideline
Fostering Innovation in Mathematics
Introduction
Aims and Scopes
- Fractional Calculus and Differential Equations:
The journal publishes research on fractional calculus, including fractional differential equations and their applications in various fields such as physics, engineering, and biology. - Fixed Point Theory:
A significant portion of the journal's content is dedicated to fixed point theorems, exploring various mappings and their properties in different types of metric and topological spaces. - Functional Analysis and Operator Theory:
Research articles often delve into functional analysis, with a focus on operators, their properties, and applications in both pure and applied mathematics. - Approximation Theory:
The journal includes studies on approximation methods, particularly those involving special functions and polynomials, contributing to the development of numerical methods. - Metric Spaces and Topology:
Exploration of various types of metric spaces, their properties, and the implications for analysis and topology is a recurring theme, highlighting the interplay between these areas. - Stochastic Processes and Applications:
The journal also covers stochastic models and their mathematical analysis, particularly in the context of epidemic models and other real-world applications.
Trending and Emerging
- Fractional Order Models:
The journal has seen an increase in publications related to fractional order models, particularly in contexts such as ecology and epidemiology, highlighting their relevance in modeling complex systems. - Stochastic Analysis:
Research on stochastic processes, particularly in relation to epidemic modeling and other real-world applications, is gaining traction, indicating a growing interest in probabilistic methods. - Numerical Methods and Computational Analysis:
There is a notable trend towards the development and analysis of numerical methods, especially those that address complex differential equations and integral equations. - Complex Analysis and Special Functions:
Emerging works in complex analysis, particularly those involving meromorphic functions and their properties, reflect a renewed interest in the intricate relationships between analysis and complex variables. - Graph Theory and Network Analysis:
An increasing focus on graph theory and its applications in various fields, including biology and social sciences, is becoming more prominent in the journal's publications.
Declining or Waning
- Traditional Real Analysis:
There has been a noticeable decline in papers focusing on classical topics in real analysis, as the journal shifts towards more applied and interdisciplinary approaches. - Basic Inequalities and Elementary Functions:
Research on simple inequalities and elementary function properties has decreased, suggesting a move towards more complex and sophisticated mathematical frameworks. - Elementary Number Theory:
Papers in elementary number theory have become less frequent, possibly due to the increased focus on higher-dimensional and more abstract areas of mathematics.
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