Special Issues

Axioms publishes Special Issues to create collections of papers on specific topics, with the aim of building a community of authors and readers to discuss the latest research and develop new ideas and research directions. Special Issues are led by Guest Editors, who are experts on the topic and all Special Issue submissions follow MDPI's standard editorial process. The journal’s Editor-in-Chief and/or designated Editorial Board Member will oversee Guest Editor appointments and Special Issue proposals, checking their content for relevance and ensuring the suitability of the material for the journal. The papers published in a Special Issue will be collected and displayed on a dedicated page of the journal’s website. Further information on MDPI's Special Issue policies and Guest Editor responsibilities can be found here. For any inquiries related to a Special Issue, please contact the Editorial Office.

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Advances in Functional Analysis and Banach Space
edited by Shaoqiang Shang and
submission deadline 28 Feb 2027 | 6 articles | Viewed by 5174 | Submission Open
Keywords: Banach space geometry theory; fixed point theory; orlicz space; coarse isometry; approximation
(This special issue belongs to the Section Mathematical Analysis)
Advances in Nonlinear Analysis and Numerical Modeling
edited by and Cosmin Dănuț Barbu
submission deadline 28 Feb 2027 | 6 articles | Viewed by 4504 | Submission Open
Keywords: modeling; simulation and optimization; nonlinear analysis; perturbations; parameter estimations
(This special issue belongs to the Section Mathematical Physics)
Advancements in Applied Mathematics and Computational Physics, 2nd Edition
edited by and Branislav Vlahovic
submission deadline 28 Feb 2027 | 7 articles | Viewed by 4340 | Submission Open
Keywords: applied mathematics; computational physics; experimental and theoretical physics; physical electronics; algebra
(This special issue belongs to the Section Mathematical Physics)
Numerical Analysis and Applied Mathematics, 2nd Edition
edited by
submission deadline 28 Feb 2027 | 5 articles | Viewed by 3738 | Submission Open
Keywords: numerical algorithms; iterative methods; convergence analysis; numerical stability; computational efficiency; error analysis; operator equations; dynamical systems; real-world applications
(This special issue belongs to the Section Mathematical Analysis)
Research in Fixed Point Theory and Its Applications submission deadline 28 Feb 2027 | 2 articles | Viewed by 2905 | Submission Open
Keywords: metric spaces; fixed point theory; stability; optimization and optimal control; machine learning; numerical and computational methods
(This special issue belongs to the Section Mathematical Analysis)
Delay Differential Equations: Theory, Control and Applications submission deadline 28 Feb 2027 | 4 articles | Viewed by 2693 | Submission Open
Keywords: delay differential equations (DDEs); stability criteria; bifurcation analysis; numerical methods; predictive feedback control; adaptive control frameworks; machine learning-driven delay compensation; physiological regulatory networks; power grid dynamics with delayed feedback; epidemiological/financial DDE modeling
Advances in Nonlinear Analysis and Boundary Value Problems, 2nd Edition submission deadline 28 Feb 2027 | 3 articles | Viewed by 2425 | Submission Open
Keywords: boundary value problems; nonlinear analysis; numerical analysis; real-life problems; green's function; industrial mathematics
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Mathematical Optimization and Its Applications in Portfolio Modelling submission deadline 28 Feb 2027 | Viewed by 2339 | Submission Open
Keywords: portfolio optimization; financial engineering; metaheuristics; constraint handling; swarm intelligence; evolutionary computation
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Mathematical Physics with Applications in Quantum Theory
edited by Oscar Gerardo Loaiza-Brito and
submission deadline 28 Feb 2027 | 2 articles | Viewed by 2295 | Submission Open
Keywords: quantum theories; quantum field theory (QFT); topological quantum field theory (TQFT); quantum gravity; entanglement; quantum information; string theory; generalized symmetries; non-invertible symmetries
(This special issue belongs to the Section Mathematical Physics)
Nonlinear Analysis and Boundary Value Problems
edited by
submission deadline 28 Feb 2027 | 2 articles | Viewed by 1922 | Submission Open
Keywords: variational method; critical point theory; Morse theory; boundary value problems; partial differential equations; ordinary differential equation
(This special issue belongs to the Section Mathematical Analysis)
Current Trends in the Mathematics of Fuzzy Sets and Logic submission deadline 28 Feb 2027 | 1 articles | Viewed by 1123 | Submission Open
Keywords: fuzzy theory; multi-criteria decision making; multi-objective programming; statistical methodology; testing and evaluation model; process capability index
(This special issue belongs to the Section Mathematical Analysis)
Advances in Mathematical Statistics and Data Analysis
edited by
submission deadline 28 Feb 2027 | 3 articles | Viewed by 1017 | Submission Open
Keywords: asymptotic statistics; data analysis; empirical process; directional statistics
(This special issue belongs to the Section Mathematical Analysis)
Advances in Graph Theory and Its Application submission deadline 28 Feb 2027 | 1 articles | Viewed by 604 | Submission Open
Keywords: graph theory; discrete mathematics; structural graph theory; graph invariants; graph algorithms; applied graph theory
(This special issue belongs to the Section Algebra and Number Theory)
Fixed-Point Theory: Methods, Properties, and Applications
edited by
submission deadline 28 Feb 2027 | Viewed by 600 | Submission Open
Keywords: metric spaces; fixed points; best proximity points; Cauchy sequences; completeness
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Nonlinear Dynamical Systems: Models, Analysis and Applications
edited by , and
submission deadline 28 Feb 2027 | Viewed by 229 | Submission Open
Keywords: modeling of nonlinear dynamical systems; applications of nonlinear dynamical systems; chaotic systems; synchronization and control of complex systems and networks; fractals, equilibrium and stability analysis; nonlinear circuits and memristors
(This special issue belongs to the Section Mathematical Physics)
Linear Programming and Its Applications
edited by Yao Huei Huang
submission deadline 28 Feb 2027 | Viewed by 197 | Submission Open
Keywords: linear programming; mathematical optimization; operations research; decision support systems; mixed-integer linear programming; resource allocation; supply chain optimization; production planning; transportation optimization; sustainable operations
(This special issue belongs to the Section Mathematical Analysis)
Contemporary Topics in Mathematical Physics
edited by and Rodolfo José Bueno Rogerio
submission deadline 1 Mar 2027 | Viewed by 192 | Submission Open
Keywords: mathematical physics; relativity; quantum gravity; quantum field theory; differential geometry; functional analysis; gauge theory; integrable systems; spacetime structure
(This special issue belongs to the Section Mathematical Physics)
Advances in Classical and Applied Mathematics, 2nd Edition
edited by , Dana Piciu and Murat Tosun
submission deadline 30 Mar 2027 | 9 articles | Viewed by 9934 | Submission Open
Keywords: classical mathematics; applied mathematics; mathematical models; mathematical principles; computer science
Trends in Differential Geometry and Algebraic Topology, 2nd Edition
edited by
submission deadline 30 Mar 2027 | 5 articles | Viewed by 3212 | Submission Open
Keywords: differential geometry; algebraic topology; Riemannian geometry; symplectic geometry; symplectic topology; homotopy algebra; homotopy theory; homology theory; category theory; algebraic K-theory; topological K-theory; index theory; noncommutative geometry; string theory; quantum field theory
(This special issue belongs to the Section Geometry and Topology)
New Perspectives in Differential Geometry and Its Applications
edited by
submission deadline 30 Mar 2027 | Viewed by 161 | Submission Open
Keywords: geometrical structures on differentiable manifolds; differential equations on manifolds; global analysis; Lie groups; local and global stability; Lyapunov (linear) stability; Jacobi stability; mathematical modelling; applications to physics, quantum computing, biology, ecology and epidemiology
(This special issue belongs to the Section Geometry and Topology)
Nonlinear Fractional Differential Equations: Theory and Applications
edited by Jiawei He and Junfang Zhao
submission deadline 31 Mar 2027 | 6 articles | Viewed by 5494 | Submission Open
Keywords: fractional calculus and applications; fractional order nonlinear systems; partial differential equations; integrodifferential equations; critical point theory; control theory; continuous and discrete dynamical systems; initial and boundary value problems; stability theory
(This special issue belongs to the Section Mathematical Analysis)
Advances in Fuzzy Logic and Fuzzy Implications submission deadline 31 Mar 2027 | 4 articles | Viewed by 4567 | Submission Open
Keywords: fuzzy logic; fuzzy set theory; fuzzy mathematics; fuzzy connectives; fuzzy implications; triangular norms; triangular co-norms; fuzzy control; fuzzy systems and applications; pythagorean fuzzy sets; fuzzy set extension
(This special issue belongs to the Section Logic)
Advances in Dynamical Systems and Control, 2nd Edition submission deadline 31 Mar 2027 | 3 articles | Viewed by 3150 | Submission Open
Keywords: bifurcation and chaos; complex systems; control; dynamical systems; fractional order systems; fuzzy differential equations; fuzzy systems; mathematical modeling
(This special issue belongs to the Section Mathematical Analysis)
Fractional Differentiation and Applied Mathematics: Recent Advances and Applications submission deadline 31 Mar 2027 | 4 articles | Viewed by 2879 | Submission Open
Keywords: applied mathematics; mathematical modeling; fractional calculus; nonlinear dynamical systems; control theory; financial mathematics
(This special issue belongs to the Section Mathematical Analysis)
Differential Geometry and Its Application, 4th Edition
edited by
submission deadline 31 Mar 2027 | 3 articles | Viewed by 2460 | Submission Open
Keywords: contact manifolds; generalized Riemann spaces; statistical manifolds; Kenmotsu manifolds; Kaehler manifolds; golden manifolds; invariants; immersions; complex space forms; geodesic mappings
(This special issue belongs to the Section Geometry and Topology)
Combinatorics and Graph Theory with Applications in Computer Science submission deadline 31 Mar 2027 | 2 articles | Viewed by 2243 | Submission Open
Keywords: graph theory; combinatorics; graph algorithms; combinatorial optimization; algorithm design; network analysis; computational complexity; discrete mathematics; theoretical computer science; cryptography
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Optimization, Variational Inequalities and Equilibrium Problems: Theory and Applications
edited by and Miruna-Mihaela Beldiman
submission deadline 31 Mar 2027 | 2 articles | Viewed by 1873 | Submission Open
Keywords: mathematical optimization; mathematical programming; operational research; equilibrium problems; variational inequalities; complementarity problems; game theory; fixed point methods
(This special issue belongs to the Section Mathematical Analysis)
Probability, Statistics and Estimations, 3rd Edition submission deadline 31 Mar 2027 | 2 articles | Viewed by 1189 | Submission Open
Keywords: survival analysis; cure rate model; distribution theory; regression models; machine learning; applied statistics; Bayesian statistics
(This special issue belongs to the Section Mathematical Analysis)
Advances in Statistical Simulation and Computing, 2nd Edition
edited by and Bernardo M. Lagos-Álvarez
submission deadline 31 Mar 2027 | 3 articles | Viewed by 1163 | Submission Open
Keywords: statistical simulation; computational statistics; Monte Carlo methods; simulation-based inference (SBI); approximate bayesian computation (ABC); Bayesian computation; Markov chain Monte Carlo (MCMC); sequential Monte Carlo (SMC); stochastic simulation; high-dimensional models; hierarchical and latent variable models; spatio-temporal modeling; stochastic processes; uncertainty quantification; probabilistic programming; parallel computing; high-performance computing (HPC); graphics processing unit (GPU) computing; reproducible research; open-source statistical software; machine learning and statistical simulation; applied statistical modeling
15th Anniversary of Axioms: Geometry and Topology
edited by
submission deadline 31 Mar 2027 | 2 articles | Viewed by 1059 | Submission Open
Keywords: topological data analysis; persistent homology; discrete curvatures; curvature flows; spectral geometry; complex networks and generalizations; Regge calculus
(This special issue belongs to the Section Geometry and Topology)
Advances in Differential Geometry and Singularity Theory, 3rd Edition submission deadline 31 Mar 2027 | 2 articles | Viewed by 946 | Submission Open
Keywords: singularity theory; morse theory; singularities; singular submanifolds; light-like submanifolds; differentiable manifolds; submanifold theory; Legendrian duality; front and frontal
(This special issue belongs to the Section Geometry and Topology)
Advances in Discrete-Fractional Mathematics and Its Application submission deadline 31 Mar 2027 | 1 articles | Viewed by 863 | Submission Open
Keywords: graph theory; domination theory; spectral graph theory; discrete dynamical systems; fractional differential equations; fractal differential equations
(This special issue belongs to the Section Mathematical Analysis)
Machine Learning Methods for Stochastic Differential Equations
edited by Qidi Peng
submission deadline 31 Mar 2027 | Viewed by 439 | Submission Open
Keywords: stochastic calculus; fractional calculus; Malliavin calculus; stochastic differential equations; numerical methods; machine learning algorithm; finance; engineering
(This special issue belongs to the Section Mathematical Analysis)
Nonlinear Inverse Problems with Deep Generative Models
edited by
submission deadline 31 Mar 2027 | Viewed by 347 | Submission Open
Keywords: deep generative models; nonlinear inverse problems; diffusion models; Ill-posed problems; Bayesian reconstruction
Recent Research in Semi-Riemannian Geometry and Its Applications
edited by
submission deadline 31 Mar 2027 | Viewed by 202 | Submission Open
Keywords: semi-Riemannian geometry; Minkowski spaces; multiplicative Minkowski spaces; framed curves; associated curves; direction curves; λ-translating solitons; Bäcklund transformations; ruled hypersurfaces; rotational hypersurfaces
(This special issue belongs to the Section Geometry and Topology)
Special Functions and Mathematical Constants
edited by Alina Sintamarian, Ovidiu Furdui and
submission deadline 31 Mar 2027 | Viewed by 186 | Submission Open
Keywords: special function; Beta function; Gamma function; Psi function (Digamma function); Riemann zeta function; polylogarithm function (Hurwitz zeta function); Euler constant; sequence; convergence order; series; harmonic number
(This special issue belongs to the Section Mathematical Analysis)
Modern Directions in Fixed Point Theory and Its Applications: Generalized Structures, Iterative Methods, and Mathematical Modeling
edited by , and Yassine Sabbar
submission deadline 15 Apr 2027 | Viewed by 145 | Submission Open
Keywords: fixed point theory; multivalued mappings; nonlinear analysis; best proximity point theory; functional analysis; contractive mappings; generalized metric spaces; iterative methods; abstract metric structures; differential and integral equations; fuzzy metric spaces; mathematical modeling and engineering applications
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Cosmology, 2nd Edition
edited by
submission deadline 29 Apr 2027 | Viewed by 195 | Submission Open
Keywords: cosmology; mathematical cosmology; mathematical physics
(This special issue belongs to the Section Mathematical Physics)
Reliability and Risk of Complex Systems: Modelling, Analysis and Optimization, 2nd Edition submission deadline 30 Apr 2027 | 6 articles | Viewed by 6297 | Submission Open
Keywords: reliability modelling; optimization; risk analysis; statistical methods; degradation modelling; machine learning; uncertainty quantification; bayesian methods
Functional Data Analysis and Its Application
edited by and
submission deadline 30 Apr 2027 | 4 articles | Viewed by 4805 | Submission Open
Keywords: functional data analysis; high-dimensional data; transfer learning; semi-supervised learning; machine learning; distributed inference; subsampling; functional regression analysis
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Aspects of Black Holes in General Relativity and Beyond
edited by
submission deadline 30 Apr 2027 | 3 articles | Viewed by 4759 | Submission Open
Keywords: gravitational waves; modified gravity models; AdS/CFT correspondence; nonlinear electrodynamics; black hole thermodynamics; geometrical thermodynamics; quantum-corrected black holes; black hole and wormhole solutions; relativistic astrophysics and accretion disks; relativistic kinetic theory on curved spacetime; black hole perturbation theory and quasinormal modes; metric tensor; geodesic equations; Einstein’s field equations and beyond
(This special issue belongs to the Section Hilbert’s Sixth Problem)
Modern Problems of Analysis, Optimization, Approximation and Their Applications
edited by
submission deadline 30 Apr 2027 | 4 articles | Viewed by 3357 | Submission Open
Keywords: approximations and expansions; calculus of variations and optimal control; continued fractions and their generalizations; difference and functional equations; functional analysis; functions in complex variables; integral equations; integral equations; number theory; numerical analysis; operator theory; ordinary differential equations; partial differential equations; real functions; sequences, series, and summability; several complex variables and analytic spaces; special functions
(This special issue belongs to the Section Mathematical Analysis)
Advanced Approximation Techniques and Their Applications, 3rd Edition
edited by
submission deadline 30 Apr 2027 | 3 articles | Viewed by 2315 | Submission Open
Keywords: interpolation in approximation theory; approximation by polynomials spline; approximation; approximation by trigonometric polynomials inequalities in approximation; approximation by rational functions; Padé approximation; rate of convergence; inverse theorems in approximation; theory simultaneous approximation; approximation with constraints; approximation by special function classes; approximation by operators’ saturation in approximation theory; best constants in approximation theory; approximation by arbitrary linear expressions; approximation by arbitrary nonlinear expressions; uniqueness of best approximation; best approximants; approximate quadratures; numerical approximation; series expansions; asymptotic approximations; asymptotic expansions; abstract approximation theory; remainders in approximation; formulas least-squares; method continued fractions and their generalizations; convergence and divergence of infinite limiting processes; approximation of solutions of differential equations; approximation of solutions of functional–differential equations; approximation of solutions of integral equations
(This special issue belongs to the Section Mathematical Analysis)
Advances and Applications in Mathematical Modeling and Optimization
edited by Glenn Ledder
submission deadline 30 Apr 2027 | 4 articles | Viewed by 2136 | Submission Open
Keywords: mathematical optimization; numerical optimization; continuous optimization; discrete optimization; mixed optimization; nonlinear optimization; calculus of variations; optimal control
(This special issue belongs to the Section Mathematical Analysis)
Differential Equations and Related Topics, 3rd Edition submission deadline 30 Apr 2027 | 2 articles | Viewed by 922 | Submission Open
Keywords: differential equations; partial differential equations; fractional differential equations; initial-value problems; boundary value problems; Ulam’s type stability; fixed-point theory approximation; theory numerical schemes; integral transforms real-world applications; other related topics
(This special issue belongs to the Section Mathematical Analysis)
Applied Mathematics and Mathematical Modeling, 2nd Edition submission deadline 30 Apr 2027 | 2 articles | Viewed by 655 | Submission Open
Keywords: applied mathematics; mathematical modeling; numerical methods; optimization; stochastic processes; computational algorithms; interdisciplinary applications; real-world applications
(This special issue belongs to the Section Mathematical Analysis)
Algorithms, Computational Complexity Theory, Computational Geometry, and Categorical Methods Theory with Applications
edited by and
submission deadline 30 Apr 2027 | Viewed by 568 | Submission Open
Keywords: algorithms; optimization; categorical methods; computational complexity; computer science; data science; categorical logic; type theory
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Methods in the Applied Sciences, 3rd Edition submission deadline 30 Apr 2027 | Viewed by 551 | Submission Open
Keywords: mathematical methods; analysis; applied mathematics; biomathematics; modeling; applied sciences; real systems; applied mechanics; quantitative models; simulation methodology; inverse problems; numerical methods; machine learning; deep learning; reinforcement learning
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Analysis and Applications, 5th Edition submission deadline 30 Apr 2027 | 1 articles | Viewed by 390 | Submission Open
Keywords: mathematical (or higher transcendental) functions and their applications; fractional calculus and its applications; q-series and q-polynomials; analytic number theory; special functions of mathematical physics and applied mathematics; geometric function theory of complex analysis
(This special issue belongs to the Section Mathematical Analysis)
15th Anniversary of Axioms: Mathematical Analysis
edited by
submission deadline 30 Apr 2027 | Viewed by 228 | Submission Open
Keywords: differential equations; dynamical systems; inequalities; nonlinear analysis; numerical analysis; real analysis; variational analysis
(This special issue belongs to the Section Mathematical Analysis)
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