Mathematical Analysis
A section of Axioms (ISSN 2075-1680).
Section Information
“Mathematical Analysis” is a Section of the open access, peer-reviewed journal Axioms, which publishes original papers of high scientific level in all fields of classical and modern analysis, with a focus on original work that addresses significant problems in pure and applied nonlinear analysis.
The main interest of “Mathematical Analysis” is the advance and dissemination of mathematical knowledge through high-quality papers that describe and analyze different fields of analysis, as well as their applications. The aim of this Section is to publish the best research articles of mathematical analysis within the scope of the journal, boosting cooperation with applications in other areas of mathematics, physics, biology, engineering and economics.
This Section covers all areas of classical and modern mathematical analysis, including boundary value problems, differential equations and inclusions, function spaces, operator theory, approximations and expansions, calculus of variations and optimal control, dynamic systems, difference and functional equations, convex, functional and harmonic analysis, measure and integration, special functions, function theory in one and several variables and on infinite dimensional spaces, topological and metric spaces, numerical analysis, as well as their applications, promoting the dialog among specialists in these areas.
Current research results containing new and significant ideas, as well as selected high-quality survey articles, are expected to appear regularly.
The audience consists of pure and applied mathematicians and numerical analysts. All submitted papers are subject to individual refereeing by renowned experts, applying the highest standards of impartial peer refereeing. Editorial decisions also take into consideration the depth and interest of the presented work. We will do our best to ensure a fast and fair evaluation of all submitted research.
Keywords
- Analysis and optimization
- Bifurcation theory
- Calculus of variations
- Complex analysis
- Convex analysis
- Differential equations
- Dynamical systems
- Fourier analysis
- Functional analysis
- Generalized differentiability
- Harmonic analysis
- Inequalities
- Nonlinear analysis
- Numerical analysis
- Real analysis
- Variational analysis
Editorial Board
Topical Advisory Panel
Special Issues
Following special issues within this section are currently open for submissions:
- Mathematical Analysis and Applications, 4th Edition (Deadline: 30 June 2026)
- Combinatorics and Graph Theory with Applications in Computer Science (Deadline: 30 June 2026)
- Advanced Approximation Techniques and Their Applications, 3rd Edition (Deadline: 30 June 2026)
- Differential Equations and Related Topics, 3rd Edition (Deadline: 30 June 2026)
- Advances in Discrete-Fractional Mathematics and Its Application (Deadline: 30 June 2026)
- Modern Problems of Analysis, Optimization, Approximation and Their Applications (Deadline: 30 June 2026)
- The Numerical Analysis and Its Application, 2nd Edition (Deadline: 30 June 2026)
- Theory of Functions and Applications, 3rd Edition (Deadline: 30 June 2026)
- Advances in Dynamical Systems and Control, 2nd Edition (Deadline: 30 June 2026)
- Fractional Calculus and Applied Analysis, 2nd Edition (Deadline: 30 June 2026)
- Machine Learning Methods for Stochastic Differential Equations (Deadline: 20 July 2026)
- Advances in Fractional-Order Difference and Differential Equations (Deadline: 20 July 2026)
- Mathematical Methods in the Applied Sciences, 3rd Edition (Deadline: 20 July 2026)
- Numerical Analysis and Applied Mathematics, 2nd Edition (Deadline: 30 July 2026)
- Algorithms, Computational Complexity Theory, Computational Geometry, and Categorical Methods Theory with Applications (Deadline: 30 July 2026)
- Advances in Nonlinear Dynamics: Theory and Application (Deadline: 31 July 2026)
- Nonlinear Dynamical System and Its Applications (Deadline: 31 July 2026)
- Recent Developments in Mathematical and Statistical Finance (Deadline: 31 July 2026)
- Nonlinear Fractional Differential Equations: Theory and Applications (Deadline: 31 July 2026)
- Recent Developments in Statistical Research (Deadline: 31 July 2026)
- Advances and Applications in Mathematical Modeling and Optimization (Deadline: 30 August 2026)
- Advances in Mathematical Methods in Optimal Control and Applications, 2nd Edition (Deadline: 30 August 2026)
- Recent Advances in Fuzzy Sets and Related Topics, 2nd Edition (Deadline: 30 August 2026)
- Recent Advances in Stochastic Analysis and Large Deviation Theory (Deadline: 31 August 2026)
- Infinite Dynamical Systems and Differential Equations, Second Edition (Deadline: 31 August 2026)
- Numerical Methods and Approximation Theory, Second Edition (Deadline: 31 August 2026)
- Recent Advances in Functional Analysis and Operator Theory, 2nd Edition (Deadline: 31 August 2026)
- New Perspective on Change-Point Analysis and Statistical Inference (Deadline: 31 August 2026)
- Dynamic Systems and Differential Equations (Deadline: 31 August 2026)
- Applications in Functional Analysis (Deadline: 31 August 2026)
- Differential Equations and Dynamical Systems: Theory and Applications, 2nd Edition (Deadline: 31 August 2026)
- Modern Trends and Application of Decision-Making Theory, Stability and Control, 2nd Edition (Deadline: 20 September 2026)
- Functional Data Analysis and Its Application (Deadline: 29 September 2026)
- Current Research in Probability Theory and Distribution Theory (Deadline: 29 September 2026)
- Fractional Differential Equations and Dynamical Systems, 2nd Edition (Deadline: 29 September 2026)
- Advances in Dynamical Systems: Modeling Time-Evolving Processes Under Uncertainty (Deadline: 30 September 2026)
- Stochastic and Statistical Analyses in Natural Sciences, Second Edition (Deadline: 30 September 2026)
- Existence of Solutions for Differential Equations: Theories, Methods and Applications (Deadline: 30 September 2026)
- Recent Advances in Mathematical Optimization and Its Applications (Deadline: 30 September 2026)
- Recent Advances in Special Functions and Applications, 2nd Edition (Deadline: 30 September 2026)
- Mathematical Foundations of Quantum Computing (Deadline: 30 September 2026)
- Recent Developments in Graph Theory, 2nd Edition (Deadline: 30 September 2026)
- Theory and Applications: Numerical Analysis (Deadline: 16 October 2026)
- Fractional Calculus—Theory and Applications, 4th Edition (Deadline: 31 October 2026)
- Computational Statistics and Its Applications, 2nd Edition (Deadline: 31 October 2026)
- Applications in Mathematical Modeling and Optimization (Deadline: 31 October 2026)
- Advances in Harmonic Analysis (Deadline: 31 October 2026)
- New Advances in Numerical Linear Algebra and Its Applications (Deadline: 31 October 2026)
- Theory and Applications in Functional Analysis (Deadline: 31 October 2026)
- Dynamics, Stability, Chaos, Control and Applications of Dynamical Systems (Deadline: 31 October 2026)
- New Developments in Geometric Function Theory, 4th Edition (Deadline: 30 November 2026)
- Fractional Differential Equation and Its Applications, 2nd Edition (Deadline: 30 November 2026)
- Numerical Analysis in Dynamical Systems—Theory, Algorithms and Applications (Deadline: 30 November 2026)
- Visualization in Computer Graphics: Mathematical Settings, Overview and Applications (Deadline: 30 November 2026)
- Stochastic Modeling and Optimization Techniques, 2nd Edition (Deadline: 30 November 2026)
- Mathematical and Statistical Methods and Their Applications, 3rd Edition (Deadline: 30 November 2026)
- Elliptic-Type PDEs with Fractional Laplacian Operator and Applications (Deadline: 30 November 2026)
- Orthogonal Polynomials, Special Functions and Applications, 3rd Edition (Deadline: 30 November 2026)
- Numerical Methods and Simulations for Partial Differential Equations (Deadline: 30 November 2026)
- Numerical Methods and Modeling for Multiscale Problems and Applications (Deadline: 30 November 2026)
- Applied Mathematics and Numerical Analysis: Theory and Applications, 2nd Edition (Deadline: 30 November 2026)
- Fixed-Point Theory and Its Related Topics, 5th Edition (Deadline: 30 November 2026)
- Methods and Applications of Advanced Statistical Analysis, 3rd Edition (Deadline: 30 November 2026)
- Numerical Analysis, Approximation Theory and Related Topics (Deadline: 30 November 2026)
- Recent Advances in Mathematical Optimization and Related Topics (Deadline: 30 November 2026)
- Recent Advances in Fuzzy Theory Applications (Deadline: 30 November 2026)
- Recent Applications of Statistical and Mathematical Models (Deadline: 30 November 2026)
- Financial Mathematics and Econophysics (Deadline: 1 December 2026)
- Research on Fuzzy Sets and Multi-Criteria Decision Making with Applications (Deadline: 25 December 2026)
- Advances in Mathematics and Its Applications, 3rd Edition (Deadline: 25 December 2026)
- Trends in Dynamical Systems and Applied Mathematics (Deadline: 29 December 2026)
- Fixed-Point and Iterative Methods for Nonlinear Operators: Existence, Convergence, Stability, and Applications (Deadline: 30 December 2026)
- Operator Theory and Related Topics (Deadline: 30 December 2026)
- Theory and Application of Integral Inequalities, 3rd Edition (Deadline: 30 December 2026)
- New Trends in Fixed Point Theory in Fuzzy Metric Spaces and Their Generalizations (Deadline: 31 December 2026)
- Geometric, Value-Sharing and Asymptotic Properties of Analytic and Meromorphic Functions (Deadline: 31 December 2026)
- Research on Applied Statistics and Stochastic Processes (Deadline: 31 December 2026)
- Advances in Numerical Analysis and Its Applications (Deadline: 31 December 2026)
- General Theory of Inverse Problems and Their Numerical Methods (Deadline: 31 December 2026)
- Advances in Stochastic Differential Equations: Theory, Computation and Applications (Deadline: 31 December 2026)
- Numerical Computation, Approximation of Functions and Applied Mathematics, 3rd Edition (Deadline: 31 December 2026)
- Advances in Graph Theory with Its Applications (Deadline: 30 January 2027)
- New Research on Operator Theory and Its Applications (Deadline: 30 January 2027)
- Advances in Nonlinear Equations with Applications (Deadline: 30 January 2027)
- Recent Advances in Differential Equations and Related Topics (Deadline: 31 January 2027)
- Recent Advances in Complex Analysis and Related Topics, 2nd Edition (Deadline: 31 January 2027)
- Applications of Bayesian Methods in Statistical Analysis, Second Edition (Deadline: 31 January 2027)
- Application of Machine Learning and Optimization Methods in Engineering Mathematics, 2nd Edition (Deadline: 31 January 2027)
- Fixed-Point Theory: Methods, Properties, and Applications (Deadline: 28 February 2027)
- Recent Advances in Mathematical Optimization and Its Applications in Portfolio Modelling (Deadline: 28 February 2027)
- Current Trends in the Mathematics of Fuzzy Sets and Logic (Deadline: 28 February 2027)
- Advances in Nonlinear Analysis and Boundary Value Problems, 2nd Edition (Deadline: 28 February 2027)
- Nonlinear Analysis and Boundary Value Problems (Deadline: 28 February 2027)
- Advances in Mathematical Statistics and Data Analysis (Deadline: 28 February 2027)
- Research in Fixed Point Theory and Its Applications (Deadline: 28 February 2027)
- Mathematical Optimization, Variational Inequalities and Equilibrium Problems: Theory and Applications (Deadline: 31 March 2027)
- Fractional Differentiation and Applied Mathematics: Recent Advances and Applications (Deadline: 31 March 2027)
- Probability, Statistics and Estimations, 3rd Edition (Deadline: 31 March 2027)
- Geometric and Structure-Preserving Neural Operators in Variational and PDE-Constrained Optimization (Deadline: 30 June 2027)
- Recent Advances in Variational Inequalities and Optimization Theory (Deadline: 30 June 2027)