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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Differential Geometry and Its Application, 3rd Edition
edited by
submission deadline 30 Nov 2025 | 8 articles | Viewed by 3871 | 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)
Advances in Mathematics and Its Applications, 2nd Edition submission deadline 30 Nov 2025 | 2 articles | Viewed by 3718 | Submission Open
(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 3637 | 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
Trends in Differential Geometry and Algebraic Topology
edited by
submission deadline 30 Nov 2025 | 7 articles | Viewed by 3404 | 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)
Mathematical and Statistical Methods and Their Applications, 2nd Edition
edited by
submission deadline 30 Nov 2025 | 3 articles | Viewed by 1901 | Submission Open
Keywords: mathematical methods; mathematical statistics; applications; stochastic processes
(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 205 | 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 70 | Submission Open
Keywords: classical mathematics; applied mathematics; mathematical models; mathematical principles; computer science
New Perspectives in Bifurcations Analysis of Dynamical Systems
edited by and Ping Yan
submission deadline 30 Nov 2025 | Viewed by 58 | 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)
A Century of Quantum Mechanics: Mathematical Foundations and Computational Applications
edited by
submission deadline 30 Nov 2025 | Viewed by 56 | 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 | Viewed by 44 | 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 | Viewed by 30 | 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 5874 | 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 299 | 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 38 | 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 68 | 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 59 | 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 11334 | 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 4151 | 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 | 5 articles | Viewed by 3259 | 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 2329 | 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 1885 | 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)
Computational Algebra, Coding Theory and Cryptography: Theory and Applications, 2nd Edition
edited by
submission deadline 31 Dec 2025 | 3 articles | Viewed by 1109 | Submission Open
Keywords: algebraic structures; coding theory; cryptography; linear codes; quantum codes; polycyclic codes; self-dual codes; Hermitian codes; quasicyclic codes; codes over rings
Nonlinear Fractional Differential Equations: Theory and Applications
edited by Jiawei He and Junfang Zhao
submission deadline 31 Dec 2025 | 2 articles | Viewed by 877 | 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 | 2 articles | Viewed by 805 | 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 | 1 articles | Viewed by 790 | 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)
Matrices and Tensors over General Algebras with Applications submission deadline 31 Dec 2025 | Viewed by 608 | Submission Open
Keywords: matrices; tensors; eigenvalues; MP inverses; quaternions
(This special issue belongs to the Section Algebra and Number Theory)
Advances in Harmonic Analysis
edited by
submission deadline 31 Dec 2025 | 1 articles | Viewed by 506 | 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)
Applications in Functional Analysis
edited by Paolo Leonetti
submission deadline 31 Dec 2025 | Viewed by 320 | 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 Hopf Algebras, Tensor Categories and Related Topics
edited by , and Tianshui Ma
submission deadline 31 Dec 2025 | Viewed by 293 | 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 192 | 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 162 | 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 Developments in Statistical Research
edited by Yingying Zhang and Dong-Dong Pan
submission deadline 31 Dec 2025 | Viewed by 131 | 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)
Recent Stochastic and Statistical Approaches for Modeling Complex Systems and Dependent Variables
edited by Matieyendou Lamboni
submission deadline 31 Dec 2025 | Viewed by 106 | 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 82 | 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 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 67 | 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
Graph Invariants and Their Applications
edited by
submission deadline 31 Dec 2025 | Viewed by 22 | 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)
New Perspectives in Mathematical Statistics, 2nd Edition
edited by and
submission deadline 31 Dec 2025 | Viewed by 15 | 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
Mathematical Aspects of Quantum Field Theory and Quantization
edited by
submission deadline 30 Jan 2026 | 3 articles | Viewed by 3858 | Submission Open
Keywords: quantization; Schrodinger; Klein– Gordon; Dirac; quantum field theory; special functions; perturbations; WKB approximations; quantum gravity
(This special issue belongs to the Section Hilbert’s Sixth Problem)
Dynamics, Stability, Chaos, Control and Applications of Dynamical Systems
edited by , and Juan Francisco Navarro
submission deadline 15 Feb 2026 | Viewed by 43 | Submission Open
Keywords: differential equations/systems; difference equations/systems; dynamical systems; mathematical epidemiology; population dynamics; mathematical model; stability analysis; dynamic system; local and global dynamics; chaos and bifurcations; control theory; qualitative analysis; numerical simulations; sensitivity analysis; fractional calculus; fractional-order systems
(This special issue belongs to the Section Mathematical Analysis)
Advances in Financial Mathematics
edited by , , Xianming Sun, Fei Ma and
submission deadline 28 Feb 2026 | 5 articles | Viewed by 10173 | Submission Open
Keywords: asset pricing; quantitative finance and trading; portfolio and investment; stochastic modelling; financial markets; insurance and risk management; FinTech
Fractional Calculus and Its Applications: Historical and Recent Developments
edited by and Cristiana J. Silva
submission deadline 28 Feb 2026 | 5 articles | Viewed by 4674 | Submission Open
Keywords: fractional integrals and derivatives; history of fractional calculus; fractional ordinary and partial differential equations; properties of solutions; mathematical modelling involving fractional ODEs and PDEs calculus; numerical methods; applications
(This special issue belongs to the Section Mathematical Analysis)
Research on Stochastic Analysis and Applied Statistics
edited by and
submission deadline 28 Feb 2026 | 4 articles | Viewed by 4550 | Submission Open
Keywords: statistical modelling; applied probability; data analysis; computational statistics; stochastic processes; machine learning; deep learning
(This special issue belongs to the Section Mathematical Analysis)
Stochastic Modeling and Optimization Techniques
edited by , and Hranislav Milosevic
submission deadline 28 Feb 2026 | 4 articles | Viewed by 3808 | Submission Open
Keywords: stochastic modeling; optimization techniques; probability theory; statistical analysis; fixed point theory; game theory
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Statistical Modeling and Simulations with Applications, 2nd Edition
edited by
submission deadline 28 Feb 2026 | 1 articles | Viewed by 1229 | Submission Open
Keywords: big data; machine learning; neural networks; image analysis; medical imaging; Bayesian statistics; applied statistics
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Differential Equations and Related Topics submission deadline 28 Feb 2026 | Viewed by 281 | 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)
Mathematical, Optimization, and Computational Modeling in Machine Learning
edited by , , Rocío Ochoa-Montiel and
submission deadline 30 Mar 2026 | Viewed by 97 | Submission Open
Keywords: mathematical modeling; optimization; computational modeling
Orthogonal Polynomials, Special Functions and Applications, 3rd Edition submission deadline 31 Mar 2026 | Viewed by 17 | Submission Open
Keywords: orthogonal polynomials and functions; orthogonalization in numerical linear algebra; special functions; hypergeometric functions; Mittag– Leffler functions and generalizations; zeros; recurrence relations; inner products; numerical integration; quadrature and cubature formulas; numerical summation of series; numerical differentiation; integral equations; numerical methods for integral equations and transforms; approximation of functions; spline approximation; Padé approximation; weighted approximation; spectral; collocation; and related methods for BVP problems; generating functions; asymptotics; inequalities
(This special issue belongs to the Section Mathematical Analysis)
Delay Differential Equations: Theory, Control and Applications submission deadline 20 Apr 2026 | Viewed by 36 | 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
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