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 Advancements in Fuzzy Sets Theory, Generalizations and Applications submission deadline 31 Jul 2026 | Viewed by 394 | Submission Open
Keywords: fuzzy sets; generalizations of fuzzy sets; fuzzy logic; fuzzy numbers; fuzzy AHP and generalizations; all real-life applications
(This special issue belongs to the Section Logic)
Applied Nonlinear Dynamical Systems in Mathematical Physics, 2nd Edition
edited by
submission deadline 31 Jul 2026 | Viewed by 282 | Submission Open
Keywords: nonlinear equations of mathematical physics; nonlinear schrodinger equation; difference equations and functional equations in mathematical physics; (lie) group theoretic methods for the solution of differential and difference equations; lie-algebraic characterizations of integrability; tensor poisson structures; classical and quantum many-body problems; geometry and algebra of nonlinear equations; integrability in gauge and string theory; symmetries and invariants in mathematical physics; quasi-exactly solvable models in quantum mechanics; nonlinear stability of black hole space-times; complex fluids; nonlinear waves; nonlinear optics; numerical simulations in mathematical physics
(This special issue belongs to the Section Mathematical Physics)
Recent Developments in Applied Mathematics and Multi-Criteria Decision-Making Methods
edited by and Jan Vang
submission deadline 31 Jul 2026 | Viewed by 239 | Submission Open
Keywords: multi-criteria decision-making (MCDM); applied mathematics; optimization models; decision analysis; sustainability assessment; life cycle assessment (LCA); energy systems; supply chain and logistics; uncertainty modelling; mathematical modelling
(This special issue belongs to the Section Logic)
Mathematical Foundations of Fluid Mechanics
edited by Terry E. Moschandreou
submission deadline 31 Jul 2026 | Viewed by 180 | Submission Open
Keywords: Navier– Stokes equation; potential; fluid mechanics; rotation; vorticity; inverse problems; fluid and aerodynamics; existence theory; blowup; viscosity; inviscid flow
(This special issue belongs to the Section Mathematical Physics)
Differential Geometry and Its Application, 4th Edition
edited by
submission deadline 20 Aug 2026 | 1 articles | Viewed by 498 | 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 Statistical Simulation and Computing, 2nd Edition
edited by and Bernardo M. Lagos-Álvarez
submission deadline 20 Aug 2026 | Viewed by 188 | 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
Advances in Fuzzy Logic with Applications
edited by Diego García-Zamora and Juan Martínez-Moreno
submission deadline 30 Aug 2026 | 7 articles | Viewed by 8024 | Submission Open
Keywords: decision-making; fuzzy logic; aggregation operators; uncertainty modeling; approximate reasoning; fuzzy metric spaces
(This special issue belongs to the Section Logic)
Recent Advances in Fuzzy Sets and Related Topics, 2nd Edition submission deadline 30 Aug 2026 | 2 articles | Viewed by 1640 | 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)
Advances and Applications in Mathematical Modeling and Optimization
edited by Glenn Ledder
submission deadline 30 Aug 2026 | 2 articles | Viewed by 570 | 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)
Advances in Mathematical Methods in Optimal Control and Applications, 2nd Edition
edited by Cristiana J. Silva
submission deadline 30 Aug 2026 | Viewed by 505 | Submission Open
Keywords: optimal control problems; optimality conditions; mathematical methods; applications
(This special issue belongs to the Section Mathematical Analysis)
Differential Equations and Dynamical Systems: Theory and Applications, 2nd Edition
edited by
submission deadline 31 Aug 2026 | 5 articles | Viewed by 3725 | 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 Hopf Algebras, Tensor Categories and Related Topics
edited by , and Tianshui Ma
submission deadline 31 Aug 2026 | 2 articles | Viewed by 2707 | 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)
Applications in Functional Analysis
edited by Paolo Leonetti
submission deadline 31 Aug 2026 | 3 articles | Viewed by 1980 | 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)
Dynamic Systems and Differential Equations
edited by Vladimir A. Dobrushkin
submission deadline 31 Aug 2026 | 1 articles | Viewed by 975 | 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)
Numerical Methods and Approximation Theory, Second Edition
edited by Marius Birou, and
submission deadline 31 Aug 2026 | 1 articles | Viewed by 378 | 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)
Nonlinear Stability and Advanced Numerical Methods in Fluid and Hamiltonian Systems submission deadline 31 Aug 2026 | Viewed by 354 | Submission Open
Keywords: nonlinear stability; fluid dynamics; numerical methods; Hamiltonian systems; structure-preserving schemes; multi-scale modeling; long-time dynamics; complex behavior
(This special issue belongs to the Section Mathematical Physics)
Recent Advances in Functional Analysis and Operator Theory, 2nd Edition
edited by and
submission deadline 31 Aug 2026 | Viewed by 340 | Submission Open
Keywords: norm of operators; bounded operators; compact operators; commutants of operators; special operators (Hausdorff; Hilbert; Cesaro; backward/forward difference operator; weighted mean; Norlund; L-matrices; etc.); factorization of operators; composition of operators; spectrum of operators; sequence spaces; summability
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Stochastic Analysis and Large Deviation Theory submission deadline 31 Aug 2026 | Viewed by 280 | Submission Open
Keywords: stochastic analysis; large deviation theory; stochastic partial differential equations; stochastic ordinary differential equations; mathematical finance; moderate deviation theory; ergodicity; stochastic dynamical systems; malliavin calculus; probability theory and its applications
(This special issue belongs to the Section Mathematical Analysis)
Infinite Dynamical Systems and Differential Equations, Second Edition
edited by
submission deadline 31 Aug 2026 | Viewed by 229 | Submission Open
Keywords: infinite dynamical systems; global attractor; ODEs; PDEs; DDEs; operator semigroup theory; mathematical biology; population dynamics; mathematical epidemiology; nonlinear dynamical systems; non-autonomous systems; stability analysis; threshold dynamics; persistence theory; bifurcations and chaos; infectious diseases; optimal control theory; Stieltjes differential equations
(This special issue belongs to the Section Mathematical Analysis)
New Perspective on Change-Point Analysis and Statistical Inference
edited by Suthakaran Ratnasingam, , Ramadha Piyadi Gamage and
submission deadline 31 Aug 2026 | Viewed by 195 | Submission Open
Keywords: change-point detection; multiple change-points; sequential and online monitoring; high-dimensional inference; nonparametric methods; robust or distribution-free procedures; selective or post-selection inference; networks and functional data; uncertainty quantification; scalable algorithms
(This special issue belongs to the Section Mathematical Analysis)
Multiphysics Approaches to Heat, Mass, and Fluid Flow in Industrial Engineering Using Applied Mathematics and Artificial Intelligence submission deadline 31 Aug 2026 | Viewed by 186 | Submission Open
Keywords: multiphysics modeling; heat transfer; mass transport; fluid flow; applied mathematics; artificial intelligence; machine learning; nonlinear systems; numerical methods; data-driven modeling
(This special issue belongs to the Section Mathematical Physics)
Recent Developments for Nonlinear PDEs, Symmetries and Integrabilities
edited by and
submission deadline 20 Sep 2026 | 2 articles | Viewed by 1285 | Submission Open
Keywords: nonlinear PDEs; symmetries; integrability; well-posedness; variational problems; stability analysis; numerical methods; deep learning method; exact solution; direct ansatz method; Hirota method; Darboux transformation; inverse scattering method; Riemann-Hilbert method; stochastic partial differential equations; fractional partial differential equations; conservation laws; Lax pair; solitons; rogue waves; breathers; Painlevé analysis
Modern Trends and Application of Decision-Making Theory, Stability and Control, 2nd Edition
edited by and Oleksiy V. Kapustyan
submission deadline 20 Sep 2026 | 2 articles | Viewed by 975 | Submission Open
Keywords: nonlinear system; stability; perturbation; impulsive system; approximation; numerical methods; control; operators; approximation methods; approximative properties; decision-making theory; machine learning; neural networks; large language models; computer use agents; GUI automation
(This special issue belongs to the Section Mathematical Analysis)
Functional Data Analysis and Its Application
edited by and
submission deadline 29 Sep 2026 | 3 articles | Viewed by 3633 | 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)
Fractional Differential Equations and Dynamical Systems, 2nd Edition
edited by Nicholas Fewster-Young
submission deadline 29 Sep 2026 | 1 articles | Viewed by 858 | Submission Open
Keywords: fractional differential equations; dynamical systems; fractional calculus; fractional integrals
(This special issue belongs to the Section Mathematical Analysis)
Current Research in Probability Theory and Distribution Theory
edited by
submission deadline 29 Sep 2026 | Viewed by 548 | Submission Open
Keywords: probability theory; statistical distributions; estimation methods; Bayesian inference; real-data modeling
(This special issue belongs to the Section Mathematical Analysis)
Advances in Classical and Applied Mathematics, 2nd Edition
edited by , Dana Piciu and Murat Tosun
submission deadline 30 Sep 2026 | 9 articles | Viewed by 6630 | Submission Open
Keywords: classical mathematics; applied mathematics; mathematical models; mathematical principles; computer science
Recent Advances in Special Functions and Applications, 2nd Edition
edited by
submission deadline 30 Sep 2026 | 5 articles | Viewed by 4106 | 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)
Stochastic and Statistical Analyses in Natural Sciences, Second Edition submission deadline 30 Sep 2026 | 2 articles | Viewed by 3238 | Submission Open
Keywords: stochastic processes; time-series analysis; conditional expectation; filtration; statistical methods in the natural sciences; parameter estimation techniques; cross-sectional studies; population and sample theory
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Foundations of Quantum Computing
edited by and Zhihua Guo
submission deadline 30 Sep 2026 | 1 articles | Viewed by 1596 | Submission Open
Keywords: mathematical foundations of quantum computing; quantum algorithms; quantum error correction; quantum complexity theory; quantum networks
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Physics in General Relativity Theory submission deadline 30 Sep 2026 | 1 articles | Viewed by 1314 | Submission Open
Keywords: general relativity; mathematical physics; differential geometry; curvature and topology; cosmological models; quantum gravity; numerical relativity; einstein's equations; spacetime manifolds; metric tensor; initial conditions; cauchy surfaces; hyperbolic equations; quantum gravity; cosmological singularities; well posedness; spacetime dynamics; mathematical foundations
(This special issue belongs to the Section Hilbert’s Sixth Problem)
Matrices and Tensors over General Algebras with Applications submission deadline 30 Sep 2026 | Viewed by 1020 | Submission Open
Keywords: matrices; tensors; eigenvalues; MP inverses; quaternions
(This special issue belongs to the Section Algebra and Number Theory)
Principles of Variational Methods in Mathematical Physics, 2nd Edition
edited by
submission deadline 30 Sep 2026 | 1 articles | Viewed by 580 | 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)
Advances in Dynamical Systems: Modeling Time-Evolving Processes Under Uncertainty
edited by Claudio Arancibia-Ibarra
submission deadline 30 Sep 2026 | Viewed by 450 | Submission Open
Keywords: applied mathematics; dynamical systems; population dynamics; pattern formation; reaction-diffusion equations
(This special issue belongs to the Section Mathematical Analysis)
Research on Mathematical Modeling and Dynamic Systems
edited by
submission deadline 30 Sep 2026 | 1 articles | Viewed by 440 | Submission Open
Keywords: mathematical modeling; dynamic systems; nonlinear dynamics; chaos theory; stability analysis; bifurcation; entropy; uncertainty; stochastic processes; fractional dynamics; delay differential equations; control theory; optimization; complex systems; network dynamics; time delay model; multiscale modeling; data-driven modeling; computational simulation; system identification; time series analysis; information theory; predictive modeling; hybrid systems; sensitivity analysis; dynamical behavior; model validation; deterministic systems; randomness; feedback control; applied mathematics
Recent Developments in Graph Theory, 2nd Edition
edited by
submission deadline 30 Sep 2026 | 1 articles | Viewed by 400 | Submission Open
Keywords: chemical graph theory; topological indices; cut method; applied mathematics; domination; rainbow domination; domination games; independence domination; Grundy domination
(This special issue belongs to the Section Mathematical Analysis)
Advancements in Mathematical Physics: Quantum–Mathematics Interfaces
edited by
submission deadline 30 Sep 2026 | Viewed by 305 | Submission Open
Keywords: quantum mechanics; mathematical modelling; quantum field theory; interdisciplinary research; advanced quantum applications
(This special issue belongs to the Section Mathematical Physics)
Numerical Algebra and Its Applications
edited by Wen Li and Qingsong Zou
submission deadline 30 Sep 2026 | Viewed by 268 | Submission Open
Keywords: structured matrix computations and optimizations; tensor analysis and computing; complementary problems and applications; quaternion matrix computations
(This special issue belongs to the Section Algebra and Number Theory)
Recent Advances in Mathematical Optimization and Its Applications submission deadline 30 Sep 2026 | Viewed by 261 | Submission Open
Keywords: optimization; algorithms; methods; application; machine learning; signal processing
(This special issue belongs to the Section Mathematical Analysis)
Analytical Mechanics of Fluids and Continua: A Mathematical Physics Perspective
edited by Gonçalo Dias and Bruno Pereira
submission deadline 30 Sep 2026 | Viewed by 136 | Submission Open
Keywords: mathematical physics; fluid mechanics; analytical mechanics; Lagrangian dynamics; Hamiltonian dynamics; dynamics with constraints
(This special issue belongs to the Section Mathematical Physics)
Existence of Solutions for Differential Equations: Theories, Methods and Applications
edited by Guidong Li, Fengjun Li and
submission deadline 30 Sep 2026 | Viewed by 127 | Submission Open
Keywords: differential equations; existence of solutions; variational methods; nonlinear functional analysis; fixed point theory; topological degree theory; elliptic partial differential equations; fractional differential equations
(This special issue belongs to the Section Mathematical Analysis)
Theory and Applications: Numerical Analysis
edited by , and Guanyu Xue
submission deadline 16 Oct 2026 | Viewed by 181 | Submission Open
Keywords: solution methods for linear algebra systems; solution methods for nonlinear algebra systems; numerical methods for differential equations; mathematical physics inverse problems; matrix factorization; matrix computation; matrix analysis; quaternion matrix theory; stochastic algorithms; intelligent optimization algorithms; machine learning; deep learning
(This special issue belongs to the Section Mathematical Analysis)
Permutation Patterns
edited by Daniel Gray
submission deadline 20 Oct 2026 | 1 articles | Viewed by 914 | Submission Open
Keywords: universal permutations; superpatterns; superpermutations; circular permutations; permutation patterns; pattern avoidance; pattern containment
New Research on Differential Geometry and Its Applications
edited by Nenad O. Vesić and
submission deadline 30 Oct 2026 | Viewed by 201 | 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)
Computational Statistics and Its Applications, 2nd Edition submission deadline 31 Oct 2026 | 5 articles | Viewed by 6637 | 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)
Graph Invariants and Their Applications
edited by
submission deadline 31 Oct 2026 | 5 articles | Viewed by 4614 | 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)
Advances in Harmonic Analysis
edited by
submission deadline 31 Oct 2026 | 3 articles | Viewed by 3284 | 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)
Dynamics, Stability, Chaos, Control and Applications of Dynamical Systems
edited by , and Juan Francisco Navarro
submission deadline 31 Oct 2026 | 2 articles | Viewed by 2860 | 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 and Stochastic Processes
edited by
submission deadline 31 Oct 2026 | 4 articles | Viewed by 2742 | 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
Theory and Applications in Functional Analysis
edited by
submission deadline 31 Oct 2026 | 4 articles | Viewed by 1554 | Submission Open
Keywords: functional analysis; fixed point theory; fractional integro-differential equations and inclusions; linear and nonlinear problems; optimization theory; applications of functional analysis; variational inequalities; complementarity problems; variational analysis; numerical optimization
(This special issue belongs to the Section Mathematical Analysis)
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