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 Fixed Point Theory with Applications
edited by and Monica-Felicia Bota
submission deadline 30 Sep 2025 | 7 articles | Viewed by 6027 | Submission Open
Keywords: fixed point theory; well-posedness; stability; coincidence and common fixed points; abstract metric spaces; differential equations and inclusions; integral equations and inclusions; fractional differential equations and inclusions; iterative methods; dynamical systems
(This special issue belongs to the Section Mathematical Analysis)
Advances in Differential Geometry and Singularity Theory, 2nd Edition submission deadline 30 Sep 2025 | 7 articles | Viewed by 3975 | 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)
Probability, Statistics and Estimations, 2nd Edition submission deadline 30 Sep 2025 | 5 articles | Viewed by 3756 | 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)
Applied Mathematics and Mathematical Modeling submission deadline 30 Sep 2025 | 3 articles | Viewed by 2469 | 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)
Fractal Analysis and Mathematical Integration
edited by Donatella Bongiorno and
submission deadline 30 Sep 2025 | 3 articles | Viewed by 2447 | Submission Open
Keywords: fractal analysis; fractal calculus; measure theory; mathematical integration; fractal subsets
(This special issue belongs to the Section Mathematical Analysis)
Advances in Fuzzy Logic with Applications
edited by Diego García-Zamora and Juan Martínez-Moreno
submission deadline 30 Sep 2025 | 4 articles | Viewed by 1666 | Submission Open
Keywords: decision-making; fuzzy logic; aggregation operators; uncertainty modeling; approximate reasoning; fuzzy metric spaces
(This special issue belongs to the Section Logic)
Advances in Fuzzy Logic and Fuzzy Implications submission deadline 30 Sep 2025 | Viewed by 339 | 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
Mathematical Foundations and Their Applications in Optical Sciences submission deadline 30 Sep 2025 | Viewed by 61 | Submission Open
Keywords: light propagation; optics and photonics; Sagnac optical effects; one-way linear effect; light speed invariance; mathematical physics
(This special issue belongs to the Section Mathematical Physics)
Advances in Nonlinear Analysis and Numerical Modeling
edited by and Cosmin Dănuț Barbu
submission deadline 30 Sep 2025 | Viewed by 37 | Submission Open
Keywords: modeling; simulation and optimization; nonlinear analysis; perturbations; parameter estimations
(This special issue belongs to the Section Mathematical Physics)
Recent Developments in Differential Geometry and Its Applications
edited by Yanhua Yu, and Yun Yang
submission deadline 30 Sep 2025 | Viewed by 18 | Submission Open
Keywords: riemannian manifold; calculus of variations; curve flow; mean curvature flow; heisenberg space; pseudo-euclidean space; invariants; lie groups and lie algebras; centro-affine geometry
(This special issue belongs to the Section Geometry and Topology)
New Trends in Discrete Probability and Statistics, 2nd Edition
edited by
submission deadline 30 Sep 2025 | Viewed by 17 | Submission Open
Keywords: parametric discrete distributions; distributions associated with discrete orthogonal polynomials; empirical distributions; empirical processes
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Quantum Mechanics and Mathematical Physics
edited by
submission deadline 1 Oct 2025 | 3 articles | Viewed by 1902 | Submission Open
Keywords: quantum mechanics; Heisenberg’ s uncertainty principle; entanglement; quantum gravity; mathematical physics
(This special issue belongs to the Section Mathematical Physics)
Mathematical Models and Simulations, 2nd Edition
edited by
submission deadline 30 Oct 2025 | 7 articles | Viewed by 4930 | Submission Open
Keywords: mathematical models; ordinary differential equations; partial differential equations; stochastic processes; stochastic differential equations; finite difference schemes; finite volume schemes; finite element method; discontinuous galerkin method; monte carlo method
(This special issue belongs to the Section Mathematical Physics)
Differential Equations and Inverse Problems, 2nd Edition
edited by , Qiang Ma, and Lifeng Guo
submission deadline 30 Oct 2025 | 3 articles | Viewed by 2300 | Submission Open
Keywords: partial differential equations; ordinary differential equations; stochastic differential equations; fractional differential equations; fractional calculus; inverse and ill-posed problems; imaging; image reconstruction; tomography; tomographic reconstruction; regularization methods; numerical methods; structure-preserving methods; minimax methods; artificial intelligence; deep learning; reinforcement learning; compact radial basis function approximations; approximations based on neural networks; node layouts for irregular domains; multi-asset option pricing problems; numerical methods for matrix functions; iterative methods for the solution of nonlinear equations; Schulz-type iterative method for generalized matrix inversion; biostatistics and pattern recognition; combination counting; separation theory; information security; existence of solutions; exact solutions; fractional Fourier transform and its applications; interdisciplinary application of mathematics and other disciplines
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Optimizations and Operations Research
edited by Shen Peng and Jia Liu
submission deadline 30 Oct 2025 | 3 articles | Viewed by 2202 | Submission Open
Keywords: convex and nonconvex optimization; nonsmooth optimization; large-scale optimization; integer program; stochastic optimization; robust optimization; distributionally robust optimization; artificial intelligence; operations research
(This special issue belongs to the Section Mathematical Analysis)
Advances in the Theory and Applications of Statistical Distributions submission deadline 30 Oct 2025 | 2 articles | Viewed by 2004 | Submission Open
Keywords: distribution theory; classical statistic; bayesian statistic; regression models; survival analysis; actuarial statistics
(This special issue belongs to the Section Mathematical Analysis)
Graph Theory and Combinatorics: Theory and Applications
edited by , Jian-Bing Liu and
submission deadline 30 Oct 2025 | 3 articles | Viewed by 1951 | Submission Open
Keywords: graph theory; combinatorial optimization; digraphs; hypergraphs; connectivity; group connectivity; strongly group connectivity; strong arc connectivity; extremal problems; extremal digraphs; graph coloring; list coloring; planar graphs; nowhere-zero flows; edge coloring; strong edge coloring; chromatic number; decomposition; eigenvalues; supereulerian graphs; domination number
Computational Statistics and Its Applications, 2nd Edition submission deadline 31 Oct 2025 | Viewed by 44 | Submission Open
Keywords: applied statistics; bayesian statistics; statistical analysis; regression models; statistical inference; likelihood-free inference; sampling methods; statistics algorithms and software; digital technologies for statistics
(This special issue belongs to the Section Mathematical Analysis)
Advances in Mathematical Methods in Optimal Control and Applications, 2nd Edition
edited by Cristiana J. Silva
submission deadline 31 Oct 2025 | Viewed by 33 | Submission Open
Keywords: optimal control problems; optimality conditions; mathematical methods; applications
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Maps Preserving Problems and Algebraic Structures submission deadline 31 Oct 2025 | Viewed by 31 | Submission Open
Keywords: maps preserving; Jordan products; Lie products; homomorphisms; derivations; prime algebras; von Neumann algebras; structural characterizations
(This special issue belongs to the Section Algebra and Number Theory)
Mathematical Aspects of Black Holes in General Relativity and Beyond
edited by
submission deadline 28 Nov 2025 | Viewed by 84 | 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 6 | 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)
Advances in Statistical Simulation and Computing
edited by and Bernardo M. Lagos-Álvarez
submission deadline 30 Nov 2025 | 4 articles | Viewed by 3233 | 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
Differential Geometry and Its Application, 3rd Edition
edited by
submission deadline 30 Nov 2025 | 7 articles | Viewed by 2963 | 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)
Trends in Differential Geometry and Algebraic Topology
edited by
submission deadline 30 Nov 2025 | 5 articles | Viewed by 1601 | 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)
Mathematics in Fuzzy Logic System Modeling
edited by Gerardo Maximiliano Mendez, and María Aracelia Alcorta García
submission deadline 30 Nov 2025 | Viewed by 172 | 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)
Advances in Classical and Applied Mathematics, 2nd Edition
edited by , Dana Piciu and Murat Tosun
submission deadline 30 Nov 2025 | Viewed by 45 | Submission Open
Keywords: classical mathematics; applied mathematics; mathematical models; mathematical principles; computer science
Recent Advances in Fuzzy Sets and Related Topics, 2nd Edition submission deadline 30 Nov 2025 | Viewed by 1 | 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)
Financial Mathematics and Econophysics submission deadline 1 Dec 2025 | 2 articles | Viewed by 5655 | 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)
Advances in Dynamical Systems and Control, 2nd Edition submission deadline 20 Dec 2025 | Viewed by 283 | 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)
Theory of Functions and Applications, 3rd Edition
edited by
submission deadline 20 Dec 2025 | Viewed by 11 | 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)
Recent Developments in Mathematical and Statistical Finance
edited by and Feipeng Zhang
submission deadline 29 Dec 2025 | Viewed by 44 | 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)
Nonlinear Dynamical System and Its Applications
edited by
submission deadline 29 Dec 2025 | Viewed by 41 | 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)
Principles of Variational Methods in Mathematical Physics
edited by
submission deadline 31 Dec 2025 | 7 articles | Viewed by 10850 | 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 | 4 articles | Viewed by 3578 | 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
Fractional Calculus—Theory and Applications, 3rd Edition submission deadline 31 Dec 2025 | 4 articles | Viewed by 2746 | 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 | 3 articles | Viewed by 2009 | 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)
Advances in Mathematical Optimal Control and Applications
edited by Giovanni Fusco and
submission deadline 31 Dec 2025 | 3 articles | Viewed by 1606 | 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)
Nonlinear Fractional Differential Equations: Theory and Applications
edited by Jiawei He and Junfang Zhao
submission deadline 31 Dec 2025 | 1 articles | Viewed by 604 | 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)
Matrices and Tensors over General Algebras with Applications submission deadline 31 Dec 2025 | Viewed by 556 | Submission Open
Keywords: matrices; tensors; eigenvalues; MP inverses; quaternions
(This special issue belongs to the Section Algebra and Number Theory)
Differential Equations and Dynamical Systems: Theory and Applications, 2nd Edition
edited by
submission deadline 31 Dec 2025 | 1 articles | Viewed by 490 | 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)
Recent Advances in Special Functions and Applications, 2nd Edition
edited by
submission deadline 31 Dec 2025 | 1 articles | Viewed by 449 | 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)
Applications in Functional Analysis
edited by Paolo Leonetti
submission deadline 31 Dec 2025 | Viewed by 276 | 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 Harmonic Analysis
edited by
submission deadline 31 Dec 2025 | 1 articles | Viewed by 244 | 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)
Advances in Hopf Algebras, Tensor Categories and Related Topics
edited by , and Tianshui Ma
submission deadline 31 Dec 2025 | Viewed by 211 | 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)
Dynamic Systems and Differential Equations
edited by Vladimir A. Dobrushkin
submission deadline 31 Dec 2025 | Viewed by 159 | 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)
Probability Theory and Stochastic Processes: Theory and Applications submission deadline 31 Dec 2025 | Viewed by 129 | Submission Open
Keywords: probability theory; stochastic processes; random walks; Gauss– Markov processes; Markov chains; stochastic modeling; ergodic theory; numerical simulations; machine learning; neuronal modeling
Recent Stochastic and Statistical Approaches for Modeling Complex Systems and Dependent Variables
edited by Matieyendou Lamboni
submission deadline 31 Dec 2025 | Viewed by 79 | Submission Open
Keywords: mathematical and statistical modeling; non-independent variables; stochastic approximations and simulations; functional basis; higher-dimensional problems
Advances in Financial Mathematics and Stochastic Processes
edited by
submission deadline 31 Dec 2025 | Viewed by 16 | 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
Advances in Financial Mathematics
edited by , , Xianming Sun, Fei Ma and
submission deadline 28 Feb 2026 | 5 articles | Viewed by 9670 | Submission Open
Keywords: asset pricing; quantitative finance and trading; portfolio and investment; stochastic modelling; financial markets; insurance and risk management; FinTech
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