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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Mathematics and Its Applications in Other Disciplines
edited by and
submission deadline 20 Nov 2025 | 1 articles | Viewed by 944 | Submission Open
Keywords: pure mathematics; applied mathematics; control theory; combinatorics; graph theory; network optimization; network design; computational theory; algorithm design and analysis; computer-aided geometric design; algorithmic complexity; automata theory
Numerical Methods and Approximation Theory
edited by Marius Birou, and
submission deadline 28 Nov 2025 | 7 articles | Viewed by 12206 | Submission Open
Keywords: approximation by positive linear operators; degree of approximation; iterates of positive linear operators; interpolation operators; quadrature formulas; numerical algorithms; numerical methods for partial differential equations; fixed point theory; special functions in approximations; inequalities in approximations
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Aspects of Black Holes in General Relativity and Beyond
edited by
submission deadline 28 Nov 2025 | 1 articles | Viewed by 300 | 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)
The Numerical Analysis and Its Application, 2nd Edition
edited by Janis Bajars
submission deadline 28 Nov 2025 | Viewed by 176 | Submission Open
Keywords: applied numerical analysis; computational mathematics; numerical methods for differential and integral equations; geometric numerical integration; data-driven dynamical systems; physics-informed learning; optimization techniques in mathematical modelling
(This special issue belongs to the Section Mathematical Analysis)
Trends in Differential Geometry and Algebraic Topology
edited by
submission deadline 30 Nov 2025 | 10 articles | Viewed by 9727 | 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)
Differential Geometry and Its Application, 3rd Edition
edited by
submission deadline 30 Nov 2025 | 12 articles | Viewed by 8901 | 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)
Applications of Bayesian Methods in Statistical Analysis
edited by Yanqing Zhang and Puying Zhao
submission deadline 30 Nov 2025 | 6 articles | Viewed by 8375 | 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 method
(This special issue belongs to the Section Mathematical Analysis)
Advances in Statistical Simulation and Computing
edited by and Bernardo M. Lagos-Álvarez
submission deadline 30 Nov 2025 | 8 articles | Viewed by 7350 | Submission Open
Keywords: statistical simulation; computational statistics; algorithms and practical applications; theoretical advancements in statistical simulations; monte carlo method; simulation techniques; programing techniques (e.g.; modular; dynamic; functional; concurrent; dynamic; etc.); probabilistic programing; parallel programing applied to statistics; concurrent programing applied to statistics; distributed programing applied to statistics
Mathematical and Statistical Methods and Their Applications, 2nd Edition
edited by
submission deadline 30 Nov 2025 | 7 articles | Viewed by 6036 | Submission Open
Keywords: mathematical methods; mathematical statistics; applications; stochastic processes
(This special issue belongs to the Section Mathematical Analysis)
Advances in Mathematics and Its Applications, 2nd Edition submission deadline 30 Nov 2025 | 3 articles | Viewed by 5419 | Submission Open
(This special issue belongs to the Section Mathematical Analysis)
Fractional Calculus and Applied Analysis, 2nd Edition
edited by
submission deadline 30 Nov 2025 | 4 articles | Viewed by 2720 | Submission Open
Keywords: fractional calculus; multivariable fractional calculus; fractional integral and derivatives; fractional ordinary and partial differential equations; problems of mathematical physics; control theory; fractional stochastic processes
(This special issue belongs to the Section Mathematical Analysis)
A Century of Quantum Mechanics: Mathematical Foundations and Computational Applications
edited by
submission deadline 30 Nov 2025 | 1 articles | Viewed by 1691 | Submission Open
Keywords: mathematical structures and formal foundations of quantum mechanics and computation; quantum algorithms; complexity; and intelligent systems; error correction; control; and simulation in quantum systems; quantum-inspired computational techniques and soft computing paradigms; applications of quantum technologies; historical and foundational perspectives
(This special issue belongs to the Section Mathematical Physics)
Modern Problems of Analysis, Optimization, Approximation and Their Applications
edited by
submission deadline 30 Nov 2025 | 2 articles | Viewed by 846 | 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)
Recent Advances in Fuzzy Sets and Related Topics, 2nd Edition submission deadline 30 Nov 2025 | 2 articles | Viewed by 742 | Submission Open
Keywords: fuzzy sets; soft computing; artificial intelligence; fuzzy systems; data mining; data analysis; intuitionistic fuzzy sets; decision-making
(This special issue belongs to the Section Mathematical Analysis)
New Perspectives in Bifurcations Analysis of Dynamical Systems
edited by and Ping Yan
submission deadline 30 Nov 2025 | 1 articles | Viewed by 414 | Submission Open
Keywords: bifurcation analysis; delay and neutral differential equations; homoclinic and heteroclinic bifurcations; stability analysis
(This special issue belongs to the Section Mathematical Analysis)
Mathematics in Fuzzy Logic System Modeling
edited by Gerardo Maximiliano Mendez, and María Aracelia Alcorta García
submission deadline 30 Nov 2025 | Viewed by 380 | Submission Open
Keywords: mathematical theory in hybrid learning in fuzzy logic systems; hybrid learning; neural networks; learning models; deep learning; big data; data mining; hybrid optimization; combinatorial optimization; bio-inspired optimization; evolutionary computing; heuristics; metaheuristics
(This special issue belongs to the Section Logic)
Financial Mathematics and Econophysics submission deadline 1 Dec 2025 | 3 articles | Viewed by 9457 | Submission Open
Keywords: financial mathematics; econophysics; quantitative finance; machine Learning; high-frequency data; complex data sets
(This special issue belongs to the Section Mathematical Analysis)
Theory of Functions and Applications, 3rd Edition
edited by
submission deadline 20 Dec 2025 | 3 articles | Viewed by 1605 | 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)
Advances in Dynamical Systems and Control, 2nd Edition submission deadline 20 Dec 2025 | 1 articles | Viewed by 722 | 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)
Nonlocal Nonlinear Partial Differential Equations and Applications
edited by Elard Juárez Hurtado and Olimpio Hiroshi Miyagaki
submission deadline 20 Dec 2025 | Viewed by 563 | Submission Open
Keywords: nonlocal operators; variational methods; topological methods; double phase; Choquard; Schrö dinger equations; multiplicity of solutions; critical point
(This special issue belongs to the Section Mathematical Analysis)
Advances in Fractional-Order Difference and Differential Equations submission deadline 20 Dec 2025 | 1 articles | Viewed by 480 | Submission Open
Keywords: fractional calculus; non-integer order systems; memory effects; non-local operators; anomalous diffusion; hereditary systems; control systems; signal processing; viscoelastic materials; biological systems; heat and mass transfer; financial modeling; image processing; epidemiological modeling; discrete dynamical systems; operator theory; stability analysis; existence and uniqueness; Laplace transform method; Adomian decomposition; finite difference schemes; predictor– corrector method
(This special issue belongs to the Section Mathematical Analysis)
Nonlinear Dynamical System and Its Applications
edited by
submission deadline 29 Dec 2025 | 3 articles | Viewed by 1796 | Submission Open
Keywords: differential equations/systems; stability analysis; dynamic system; local and global dynamics; chaos and bifurcations; complex systems; mathematical model
(This special issue belongs to the Section Mathematical Analysis)
Recent Developments in Mathematical and Statistical Finance
edited by and Feipeng Zhang
submission deadline 29 Dec 2025 | Viewed by 219 | Submission Open
Keywords: asset pricing; algorithmic finance; regulatory compliance; risk management; computation; mathematical finance; mathematical and statistical modeling
(This special issue belongs to the Section Mathematical Analysis)
Advances in Fuzzy Preference Relations and Decision-Making Methods with Applications submission deadline 31 Dec 2025 | 11 articles | Viewed by 21584 | Submission Open
Keywords: fuzzy set theory; fuzzy preference relation; group decision making; decision support system; multi-criteria decision making; consistency
(This special issue belongs to the Section Mathematical Analysis)
Principles of Variational Methods in Mathematical Physics
edited by
submission deadline 31 Dec 2025 | 8 articles | Viewed by 13772 | Submission Open
Keywords: Ekeland variational principle; perturbed variational principle; minimax-type theorems; mountain-pass-type theorems; saddle-point-type theorems; critical points; Dirichlet problem; von Neumann problem; fractional calculus; numerical methods; real-world modeling
(This special issue belongs to the Section Mathematical Physics)
Fractional Differential Equation and Its Applications
edited by and
submission deadline 31 Dec 2025 | 5 articles | Viewed by 6058 | Submission Open
Keywords: fractional differential equations; stability analysis; bifurcation; chaos; and synchronization; identification; modeling; well-posedness; fractional Brownian motion; noise; networks; delay; impulse; and perturbance
(This special issue belongs to the Section Mathematical Analysis)
Fractional Calculus—Theory and Applications, 3rd Edition submission deadline 31 Dec 2025 | 6 articles | Viewed by 5678 | Submission Open
Keywords: fractional-order differential/integral equations; existence and regularity of solutions; numerical methods for fractional equations; analysis of convergence and stability; applications to science and technology
(This special issue belongs to the Section Mathematical Analysis)
Advances in Geometry and Its Applications
edited by Nenad O. Vesić and
submission deadline 31 Dec 2025 | 4 articles | Viewed by 4043 | Submission Open
Keywords: tensor calculus; affine connection; metric tensor; inner product; curvature tensor; invariants; cosmological models; energy levels; fuzzy numbers and MCDM methods; graphical analysis
(This special issue belongs to the Section Geometry and Topology)
Modern Trends and Application of Decision-Making Theory, Stability and Control
edited by and Oleksiy V. Kapustyan
submission deadline 31 Dec 2025 | 5 articles | Viewed by 3955 | Submission Open
Keywords: nonlinear systems; stability; perturbation; impulsive systems; approximation; numerical methods; control; decision making theory; machine learning
Recent Stochastic and Statistical Approaches for Modeling Complex Systems and Dependent Variables
edited by Matieyendou Lamboni
submission deadline 31 Dec 2025 | 5 articles | Viewed by 3703 | Submission Open
Keywords: mathematical and statistical modeling; non-independent variables; stochastic approximations and simulations; functional basis; higher-dimensional problems
Computational Algebra, Coding Theory and Cryptography: Theory and Applications, 2nd Edition
edited by
submission deadline 31 Dec 2025 | 5 articles | Viewed by 3226 | Submission Open
Keywords: algebraic structures; coding theory; cryptography; linear codes; quantum codes; polycyclic codes; self-dual codes; Hermitian codes; quasicyclic codes; codes over rings
Advances in Mathematical Optimal Control and Applications
edited by Giovanni Fusco and
submission deadline 31 Dec 2025 | 3 articles | Viewed by 3094 | Submission Open
Keywords: stabilizability; controllability; maximum principle; feedback controls; optimization; delay systems; robust controls; parameter estimation
(This special issue belongs to the Section Mathematical Analysis)
New Perspectives in Mathematical Statistics, 2nd Edition
edited by and
submission deadline 31 Dec 2025 | 2 articles | Viewed by 2658 | Submission Open
Keywords: Bayesian statistics; statistical analysis for high-dimensional data; nonparametric statistics; distribution-free methods; machine learning; robust statistics; spatial statistics; time series analysis; statistical inference; computational statistics
Nonlinear Fractional Differential Equations: Theory and Applications
edited by Jiawei He and Junfang Zhao
submission deadline 31 Dec 2025 | 3 articles | Viewed by 1997 | 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)
Recent Advances in Special Functions and Applications, 2nd Edition
edited by
submission deadline 31 Dec 2025 | 3 articles | Viewed by 1946 | Submission Open
Keywords: integral transform in function space; Fourier– Feynman transform; integral transform for physical models; high-dimensional transform with applications; dimension reduction of high-dimensional transform; transform and differential equations
(This special issue belongs to the Section Mathematical Analysis)
Differential Equations and Dynamical Systems: Theory and Applications, 2nd Edition
edited by
submission deadline 31 Dec 2025 | 3 articles | Viewed by 1704 | Submission Open
Keywords: dynamical systems; differential equations; difference equations; functional equations; integral equations; evolution families; semigroups; asymptotic behavior; stability; dichotomy; trichotomy; Lyapunov functions
(This special issue belongs to the Section Mathematical Analysis)
Advances in Harmonic Analysis
edited by
submission deadline 31 Dec 2025 | 2 articles | Viewed by 1587 | Submission Open
Keywords: linear Calderó n– Zygmund operators; multilinear Calderó n– Zygmund operators; smoothness and function spaces; square functions; Fourier analysis; Hardy– Littlewood maximal functions; compactness; weighted norm inequalities; interpolation theory; convolution operators
(This special issue belongs to the Section Mathematical Analysis)
Graph Invariants and Their Applications
edited by
submission deadline 31 Dec 2025 | 2 articles | Viewed by 1348 | Submission Open
Keywords: graph invariants; topological indices; graph spectrum and energy; extremal graph theory; graph coloring; QSPR/QSAR analysis; combinatorics; discrete mathematics
(This special issue belongs to the Section Algebra and Number Theory)
Recent Developments in Statistical Research
edited by and Dong-Dong Pan
submission deadline 31 Dec 2025 | 1 articles | Viewed by 1261 | Submission Open
Keywords: statistical learning; machine learning; Bayesian statistics; biomedical statistics; statistical inference; expectation identity; Monte Carlo methods; parametric statistics; nonparametric statistics; artificial intelligence with applications
(This special issue belongs to the Section Mathematical Analysis)
Emerging Applications and Theoretical Advances in Variational Methods, Functional Analysis, and Mathematical Optimization
edited by José Alberto Rodrigues
submission deadline 31 Dec 2025 | 1 articles | Viewed by 1111 | Submission Open
Keywords: variational calculus; fractional calculus; optimal transport; stochastic systems; machine learning applications; multiscale modeling
(This special issue belongs to the Section Mathematical Analysis)
Advances in Hopf Algebras, Tensor Categories and Related Topics
edited by , and Tianshui Ma
submission deadline 31 Dec 2025 | 2 articles | Viewed by 1084 | Submission Open
Keywords: Hopf algebras and their generalizations; such as weak Hopf algebras; (weak) multiplier Hopf algebras; Hopf group-coalgebras; Hom– Hopf algebras; quasi Hopf algebras; Hopf (co)quasigroups; Hopf (co)braces; Hopf algebroids et al.; tensor categories; braided monoidal categories; fusion categories; braided crossed categories; algebras; coalgebras; symmetry; duality; differential calculi; (co)homologies; groupoids; Yang– Baxter equation; (braided) Lie algebras; Lie coalgebras; applications of above topics
(This special issue belongs to the Section Algebra and Number Theory)
Fractional Order Functional Differential Equations and Fixed Point Theory
edited by and
submission deadline 31 Dec 2025 | 1 articles | Viewed by 1041 | Submission Open
Keywords: delay fractional differential and difference equations; impulsive fractional differential and difference equations; neutral fractional differential and difference equations; applying fixed point theory to solve fractional differential and difference equations; solvability and stability; numerical solutions and simulations of fractional order functional differential equations; the practical application of fractional order functional differential equations
(This special issue belongs to the Section Mathematical Analysis)
Probability Theory and Stochastic Processes: Theory and Applications submission deadline 31 Dec 2025 | 1 articles | Viewed by 1006 | Submission Open
Keywords: probability theory; stochastic processes; random walks; Gauss– Markov processes; Markov chains; stochastic modeling; ergodic theory; numerical simulations; machine learning; neuronal modeling
Matrices and Tensors over General Algebras with Applications submission deadline 31 Dec 2025 | Viewed by 805 | Submission Open
Keywords: matrices; tensors; eigenvalues; MP inverses; quaternions
(This special issue belongs to the Section Algebra and Number Theory)
Applications in Functional Analysis
edited by Paolo Leonetti
submission deadline 31 Dec 2025 | Viewed by 449 | Submission Open
Keywords: sequence spaces; functional equations; geometry of banach spaces; ideal and filter convergence; partial orders; linear operators; summability; convexity; topological vector spaces; lineability
(This special issue belongs to the Section Mathematical Analysis)
Advances in Financial Mathematics and Stochastic Processes
edited by
submission deadline 31 Dec 2025 | Viewed by 361 | Submission Open
Keywords: derivative pricing; mathematical models; financial mathematics; stochastic volatility models; jump-diffusion models; credit risk; machine learning; portfolio optimization; time series; computational finance
Dynamic Systems and Differential Equations
edited by Vladimir A. Dobrushkin
submission deadline 31 Dec 2025 | Viewed by 308 | Submission Open
Keywords: ordinary differential equations; partial differential equations; delay differential equations; fractional differential equations; modeling with differential equations; functional equations; integral equations and integral transforms; numerical methods; ill-posed problems and their regularizations; dynamical systems on time scales; difference equations; chaos
(This special issue belongs to the Section Mathematical Analysis)
Advances in Quantum Theory Methods and Applications in Computational Mathematics and Physics
edited by , Andrey A. Svinarenko and Olga Y. Khetselius
submission deadline 31 Dec 2025 | Viewed by 305 | Submission Open
Keywords: quantum geometry and algebra; mathematical analysis; computational algorithms of solving quantum equations; theoretical quantum mechanics and quantum electrodynamics; relativistic effects in quantum physics; quantum field theory; axiomatic quantum field theory; numerical modelling Fermi and Bose systems in strong fields; wavefunction-based ab initio treatments; density functional theory; mathematical analysis; computational mathematics; theoretical and mathematical physics; computational codes in theoretical atomic and molecular spectroscopy; quantum informatics and quantum statistics; quantum modelling and optimal governing; quantum artificial intelligence
Recent Advances in Matrix Generalized Inverses and Applications
edited by
submission deadline 31 Dec 2025 | Viewed by 227 | Submission Open
Keywords: generalized inverses; matrix partial orders; operator and quaternion equations; matrix and tensor equations
(This special issue belongs to the Section Algebra and Number Theory)
Asymptotic Behavior of Stochastic Partial Differential Equations
edited by Adina Oprisan and
submission deadline 31 Dec 2025 | Viewed by 164 | Submission Open
Keywords: stochastic partial differential equations; statistical inference for SPDEs; stochastic analysis; asymptotic analysis; regularity structures; numerical approximations
(This special issue belongs to the Section Mathematical Analysis)
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