Sahand Communications in Mathematical Analysis
Scope & Guideline
Connecting scholars through groundbreaking mathematical discourse.
Introduction
Aims and Scopes
- Mathematical Inequalities:
The journal frequently publishes studies on various types of inequalities, including Ostrowski-type, Hermite-Hadamard inequalities, and inequalities involving fractional integrals, which are crucial for both theoretical developments and practical applications. - Fractional Calculus and Differential Equations:
A significant portion of the journal's content is dedicated to fractional calculus, exploring its applications in differential equations, population models, and dynamical systems, highlighting the increasing relevance of fractional models in modern mathematics. - Fixed Point Theory:
The journal extensively covers fixed point theorems and their applications in various mathematical contexts, including non-expansive mappings and hybrid contractions, which are essential for solving complex mathematical problems. - Function Spaces and Operators:
Research on various function spaces, including fuzzy normed spaces and Banach spaces, along with studies on operator theory, is a consistent theme, reflecting the journal's commitment to foundational aspects of mathematical analysis. - Applications in Probability and Statistics:
The journal also emphasizes the intersection of mathematical analysis with probability theory and statistical methods, showcasing how advanced mathematical techniques can be applied to solve problems in these fields.
Trending and Emerging
- Fractional Calculus and Its Applications:
There is a marked increase in research focusing on fractional calculus, particularly its applications in modeling real-world phenomena such as biological systems and dynamical behaviors, highlighting its relevance in contemporary mathematics. - Fuzzy Mathematics and Its Implications:
The rise of fuzzy mathematics, including fuzzy metric spaces and fuzzy functional analysis, indicates a growing interest in dealing with uncertainty and imprecision in mathematical models, which is increasingly relevant in various applied fields. - Computational Techniques and Numerical Methods:
A trend towards integrating numerical methods and computational techniques with theoretical analysis is evident, showcasing the journal's commitment to practical applications of mathematical theories. - Generalized Functions and Operator Theory:
Research on generalized functions, operators, and their applications in various spaces has gained momentum, reflecting an interest in modern approaches to traditional problems in analysis.
Declining or Waning
- Classical Analysis Techniques:
There seems to be a waning focus on classical analysis techniques that do not incorporate modern applications or methodologies, as newer approaches and interdisciplinary applications gain traction. - Basic Functional Analysis:
Basic results in functional analysis, which were once prevalent, appear less frequently as the emphasis shifts towards more complex and applied topics, such as fuzzy analysis and fractional calculus. - Traditional Summability Methods:
The exploration of traditional summability methods and their applications has decreased, possibly due to the rise of more advanced and nuanced techniques in convergence and approximation theory.
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