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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New Research on Operator Theory and Its Applications
edited by Trung-Hoa Dinh
submission deadline 30 Jan 2027 | Viewed by 215 | Submission Open
Keywords: operator theory; matrix theory; functional analysis; matrix analysis; operator inequalities; spectral theory; positive linear maps; quantum information theory; quantum computation; linear and multilinear algebra
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Differential Equations and Related Topics submission deadline 31 Jan 2027 | 5 articles | Viewed by 5246 | Submission Open
Keywords: ordinary and partial differential equations; differential–difference equations; approximation, stability, boundedness, periodicity, and asymptotic properties; delay differential equations; fractional differential equations; integro-differential equations; functional equations; numerical methods for differential equations
(This special issue belongs to the Section Mathematical Analysis)
Theory of Functions and Applications, 3rd Edition
edited by
submission deadline 31 Jan 2027 | 4 articles | Viewed by 4928 | Submission Open
Keywords: theory of functions of a real variable; approximation theory; asymptotic analysis; approximation of solutions of differential and integral equations; trigonometric polynomials, inequalities, and extremal problems; harmonic analysis; theory of functions of complex variables; analytic functions and their generalizations; entire and meromorphic functions; applications involving function theory of real and complex analyses
(This special issue belongs to the Section Mathematical Analysis)
New Perspective on Fractal Geometry and Its Application
edited by
submission deadline 31 Jan 2027 | 2 articles | Viewed by 1247 | Submission Open
Keywords: fractal geometry and its applications; combinatorics on words; substitution sequences; fractal network; tiling; multifractal analysis
(This special issue belongs to the Section Geometry and Topology)
Advances in Representation Theory of Algebras submission deadline 31 Jan 2027 | 1 articles | Viewed by 1137 | Submission Open
Keywords: triangulated categories; derived categories; singular categories; representation of quiver; homological algebras; gorenstein homological algebras; quasi-hereditary algebras; AR theory; tilting theory
(This special issue belongs to the Section Algebra and Number Theory)
Mathematical Foundations for Physical Sciences submission deadline 31 Jan 2027 | 1 articles | Viewed by 784 | Submission Open
Keywords: quantum mechanics; special relativity; relativistic quantum mechanics; bound state; computational mathematical modeling; functional methods
(This special issue belongs to the Section Mathematical Physics)
Application of Machine Learning and Optimization Methods in Engineering Mathematics, 2nd Edition submission deadline 31 Jan 2027 | 1 articles | Viewed by 724 | Submission Open
Keywords: optimization methods; multicriteria optimization; operational research; intelligent decision support systems; environmentally friendly solutions; green building materials; application of machine learning techniques; project management; construction management
(This special issue belongs to the Section Mathematical Analysis)
Advances and Applications in Graph Theory
edited by Rao Li and
submission deadline 31 Jan 2027 | 1 articles | Viewed by 682 | Submission Open
Keywords: graph theory; graph coloring; graph algorithms; graphical invariants; matching theory
(This special issue belongs to the Section Algebra and Number Theory)
Advances in Generalized Hypergeometric Functions, Integral Transforms and Number Theory, 2nd Edition
edited by , and Arjun Kumar Rathie
submission deadline 31 Jan 2027 | Viewed by 474 | Submission Open
Keywords: generalized hypergeometric functions with one and more variables; transformation; summation; reduction formulas; applications in Ramanujan’s work and in combinatorics; integral transforms; Laplace; Mellin; Hankel transforms; Fourier transforms (including Sine and Cosine); number theory with applications
Applications of Bayesian Methods in Statistical Analysis, Second Edition
edited by Puying Zhao and Yanqing Zhang
submission deadline 31 Jan 2027 | 1 articles | Viewed by 408 | Submission Open
Keywords: Bayesian inference; variational Bayesian method; machine learning; Markov Chain Monte Carlo (MCMC) methods; applications in Bayesian methods; Bayesian prior; hierarchical model; parameter estimation; interval estimation; related topics about Bayesian methods
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Complex Analysis and Related Topics, 2nd Edition
edited by
submission deadline 31 Jan 2027 | Viewed by 235 | Submission Open
Keywords: entire functions of several variables; analytic functions of several variables; growth estimates; applications of complex analysis; unit ball; unit polydisc; Reinhardt domain; geometric function theory; meromorphic functions; regular functions; Nevanlinna theory; Dirichlet series; slice holomorphic functions; entire curves; vector-valued entire functions
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Foundations and Applications of Rough and Fuzzy Set Methods
edited by Tingting Zheng and Yi Xu
submission deadline 31 Jan 2027 | Viewed by 234 | Submission Open
Keywords: rough set theory; fuzzy set theory; granular computing; granular-ball computing; decision making; data mining; three-way decisions; fuzzy rough set; rough fuzzy set; uncertainty modeling
(This special issue belongs to the Section Logic)
New Developments in Fuzzy Logic and Its Applications
edited by Gerardo Maximiliano Mendez, María Aracelia Alcorta García, and
submission deadline 31 Jan 2027 | Viewed by 203 | Submission Open
Keywords: fuzzy logic; fuzzy logic systems; optimization; decision-making
(This special issue belongs to the Section Logic)
Advances in Functional Analysis and Banach Space
edited by Shaoqiang Shang and
submission deadline 28 Feb 2027 | 6 articles | Viewed by 4880 | 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 4163 | 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 4069 | 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 | 4 articles | Viewed by 3206 | 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 2811 | 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 | 3 articles | Viewed by 2331 | 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
Recent Advances in Mathematical Optimization and Its Applications in Portfolio Modelling submission deadline 28 Feb 2027 | Viewed by 2310 | Submission Open
Keywords: portfolio optimization; financial engineering; metaheuristics; constraint handling; swarm intelligence; evolutionary computation
(This special issue belongs to the Section Mathematical Analysis)
Advances in Nonlinear Analysis and Boundary Value Problems, 2nd Edition submission deadline 28 Feb 2027 | 3 articles | Viewed by 2306 | 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 Physics with Applications in Quantum Theory
edited by Oscar Gerardo Loaiza-Brito and
submission deadline 28 Feb 2027 | 2 articles | Viewed by 2222 | 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 1860 | 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 945 | 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 | 2 articles | Viewed by 698 | Submission Open
Keywords: asymptotic statistics; data analysis; empirical process; directional statistics
(This special issue belongs to the Section Mathematical Analysis)
Fixed-Point Theory: Methods, Properties, and Applications
edited by
submission deadline 28 Feb 2027 | Viewed by 586 | Submission Open
Keywords: metric spaces; fixed points; best proximity points; Cauchy sequences; completeness
(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 383 | 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)
Recent Advances in Nonlinear Dynamical Systems: Models, Analysis and Applications
edited by , and
submission deadline 28 Feb 2027 | Viewed by 207 | 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 162 | 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 165 | 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)
Trends in Differential Geometry and Algebraic Topology, 2nd Edition
edited by
submission deadline 30 Mar 2027 | 5 articles | Viewed by 3001 | 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 137 | 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 5187 | 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 4389 | 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 2995 | 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 2755 | 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)
Combinatorics and Graph Theory with Applications in Computer Science submission deadline 31 Mar 2027 | 2 articles | Viewed by 2056 | 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 1779 | 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 1035 | 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 Differential Geometry and Singularity Theory, 3rd Edition submission deadline 31 Mar 2027 | 2 articles | Viewed by 865 | 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 799 | 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)
15th Anniversary of Axioms: Geometry and Topology
edited by
submission deadline 31 Mar 2027 | 1 articles | Viewed by 757 | 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 Statistical Simulation and Computing, 2nd Edition
edited by and Bernardo M. Lagos-Álvarez
submission deadline 31 Mar 2027 | 1 articles | Viewed by 647 | 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
Machine Learning Methods for Stochastic Differential Equations
edited by Qidi Peng
submission deadline 31 Mar 2027 | Viewed by 425 | 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 329 | Submission Open
Keywords: deep generative models; nonlinear inverse problems; diffusion models; Ill-posed problems; Bayesian reconstruction
Special Functions and Mathematical Constants
edited by Alina Sintamarian, Ovidiu Furdui and
submission deadline 31 Mar 2027 | Viewed by 157 | 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)
Recent Research in Semi-Riemannian Geometry and Its Applications
edited by
submission deadline 31 Mar 2027 | Viewed by 117 | 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)
Mathematical Cosmology, 2nd Edition
edited by
submission deadline 29 Apr 2027 | Viewed by 165 | 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 6044 | Submission Open
Keywords: reliability modelling; optimization; risk analysis; statistical methods; degradation modelling; machine learning; uncertainty quantification; bayesian methods
Mathematical Aspects of Black Holes in General Relativity and Beyond
edited by
submission deadline 30 Apr 2027 | 3 articles | Viewed by 4480 | 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)
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