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 Fractional-Order Difference and Differential Equations submission deadline 20 Dec 2025 | 1 articles | Viewed by 617 | 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)
Nonlocal Nonlinear Partial Differential Equations and Applications
edited by Elard Juárez Hurtado and Olimpio Hiroshi Miyagaki
submission deadline 20 Dec 2025 | Viewed by 613 | 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)
Nonlinear Dynamical System and Its Applications
edited by
submission deadline 29 Dec 2025 | 5 articles | Viewed by 2715 | 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 267 | 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 22384 | 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 14329 | 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 Calculus—Theory and Applications, 3rd Edition submission deadline 31 Dec 2025 | 7 articles | Viewed by 6540 | 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)
Fractional Differential Equation and Its Applications
edited by and
submission deadline 31 Dec 2025 | 5 articles | Viewed by 6538 | 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)
Advances in Geometry and Its Applications
edited by Nenad O. Vesić and
submission deadline 31 Dec 2025 | 5 articles | Viewed by 4645 | 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 4495 | 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 4368 | 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 | 6 articles | Viewed by 4279 | 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 3407 | 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)
Recent Advances in Special Functions and Applications, 2nd Edition
edited by
submission deadline 31 Dec 2025 | 5 articles | Viewed by 2712 | 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)
Nonlinear Fractional Differential Equations: Theory and Applications
edited by Jiawei He and Junfang Zhao
submission deadline 31 Dec 2025 | 3 articles | Viewed by 2329 | 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)
Differential Equations and Dynamical Systems: Theory and Applications, 2nd Edition
edited by
submission deadline 31 Dec 2025 | 3 articles | Viewed by 1953 | 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 1870 | 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)
Recent Developments in Statistical Research
edited by and Dong-Dong Pan
submission deadline 31 Dec 2025 | 1 articles | Viewed by 1546 | 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)
Advances in Hopf Algebras, Tensor Categories and Related Topics
edited by , and Tianshui Ma
submission deadline 31 Dec 2025 | 2 articles | Viewed by 1469 | 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)
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 1208 | 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)
Fractional Order Functional Differential Equations and Fixed Point Theory
edited by and
submission deadline 31 Dec 2025 | 1 articles | Viewed by 1143 | 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)
Matrices and Tensors over General Algebras with Applications submission deadline 31 Dec 2025 | Viewed by 829 | 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 | 1 articles | Viewed by 474 | 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 Dec 2025 | 1 articles | Viewed by 374 | 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 333 | 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 289 | 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 192 | 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)
Research on Functional Analysis and Its Applications
edited by
submission deadline 1 Jan 2026 | 8 articles | Viewed by 9753 | Submission Open
Keywords: quaternion analysis; mathematical physics; computational methods; partial differential equations; several complex analysis
(This special issue belongs to the Section Mathematical Analysis)
Recent Trends in Numerical Methods for Functional Equations
edited by , Federico Nudo and Donatella Occorsio
submission deadline 1 Jan 2026 | 2 articles | Viewed by 1486 | Submission Open
Keywords: polynomial approximation; orthogonal polynomials; numerical integration; integral equations; differential equations; functional equations
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Aspects of Quantum Field Theory and Quantization
edited by
submission deadline 30 Jan 2026 | 5 articles | Viewed by 7812 | 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)
Advancements in Mathematical Physics: Quantum–Mathematics Interfaces
edited by
submission deadline 30 Jan 2026 | Viewed by 118 | Submission Open
Keywords: quantum mechanics; mathematical modelling; quantum field theory; interdisciplinary research; advanced quantum applications
(This special issue belongs to the Section Mathematical Physics)
New Perspectives in Applied Mathematics with Nonlinear Equations and Dynamical Systems
edited by
submission deadline 31 Jan 2026 | 12 articles | Viewed by 16052 | Submission Open
Keywords: iterative methods; numerical analysis; semi-local convergence; dynamical behavior; optimal-order iterative methods; higher-order methods
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Modeling, Simulations and Applications
edited by Jun Li and Liang Zhang
submission deadline 31 Jan 2026 | 6 articles | Viewed by 6900 | Submission Open
Keywords: mathematical modeling; simulation; applications; numerical methods; computational algorithms; mathematical applications; interdisciplinary collaboration; mathematical software development; engineering applications; scientific research; biomedical applications; environmental science; physics applications; social sciences; economics applications
(This special issue belongs to the Section Mathematical Analysis)
New Perspectives in Fuzzy Sets and Their Applications, 2nd Edition
edited by
submission deadline 31 Jan 2026 | 3 articles | Viewed by 3883 | Submission Open
Keywords: fuzzy sets; fuzzy logic; fuzzy optimization; fuzzy systems; extension principle; gradual sets
(This special issue belongs to the Section Logic)
Stochastic and Statistical Analyses in Natural Sciences, Second Edition submission deadline 31 Jan 2026 | 2 articles | Viewed by 2007 | 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)
Functional Data Analysis and Its Application
edited by and
submission deadline 31 Jan 2026 | 2 articles | Viewed by 1810 | 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)
Mathematical Foundations of Quantum Computing
edited by and Zhihua Guo
submission deadline 31 Jan 2026 | 1 articles | Viewed by 956 | 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 31 Jan 2026 | 1 articles | Viewed by 838 | 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)
Advances in Dynamical Systems: Modeling Time-Evolving Processes Under Uncertainty
edited by Claudio Arancibia-Ibarra
submission deadline 31 Jan 2026 | Viewed by 283 | Submission Open
Keywords: applied mathematics; dynamical systems; population dynamics; pattern formation; reaction-diffusion equations
(This special issue belongs to the Section Mathematical Analysis)
Current Research in Probability Theory and Distribution Theory
edited by
submission deadline 31 Jan 2026 | Viewed by 275 | Submission Open
Keywords: probability theory; statistical distributions; estimation methods; Bayesian inference; real-data modeling
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Functional Analysis and Operator Theory, 2nd Edition
edited by and
submission deadline 31 Jan 2026 | Viewed by 182 | 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 Developments in Graph Theory, 2nd Edition
edited by
submission deadline 31 Jan 2026 | Viewed by 154 | 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)
Fractional Differential Equations and Dynamical Systems, 2nd Edition
edited by Nicholas Fewster-Young
submission deadline 31 Jan 2026 | Viewed by 141 | Submission Open
Keywords: fractional differential equations; dynamical systems; fractional calculus; fractional integrals
(This special issue belongs to the Section Mathematical Analysis)
Numerical Algebra and Its Applications
edited by Wen Li and Qingsong Zou
submission deadline 31 Jan 2026 | Viewed by 125 | 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 Involving Interfaces and Boundaries in Geometric Analysis and Applications
edited by David Caraballo
submission deadline 31 Jan 2026 | Viewed by 112 | Submission Open
Keywords: interface evolution problems; geometric optimization problems; energy minimizers; curvature; anisotropy; convexity; partitions; networks and multiple junctions; geometric analysis; geometric measure theory; calculus of variations; materials science; image processing
(This special issue belongs to the Section Geometry and Topology)
Dynamics, Stability, Chaos, Control and Applications of Dynamical Systems
edited by , and Juan Francisco Navarro
submission deadline 15 Feb 2026 | 2 articles | Viewed by 1839 | 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)
Permutation Patterns
edited by Daniel Gray
submission deadline 20 Feb 2026 | Viewed by 261 | Submission Open
Keywords: universal permutations; superpatterns; superpermutations; circular permutations; permutation patterns; pattern avoidance; pattern containment
Evolution of Mathematical Theories in Applied Statistics submission deadline 20 Feb 2026 | Viewed by 180 | Submission Open
Keywords: mathematical statistics; applied statistics; machine learning; statistical models; statistical analysis; data analysis; natural language processing; regression models; data envelopment analysis; graph theory; complex network
Advances in Financial Mathematics
edited by , , Xianming Sun, Fei Ma and
submission deadline 28 Feb 2026 | 6 articles | Viewed by 14155 | Submission Open
Keywords: asset pricing; quantitative finance and trading; portfolio and investment; stochastic modelling; financial markets; insurance and risk management; FinTech
Differential Equations and Its Application
edited by Yuting Ding, Feng Li and
submission deadline 28 Feb 2026 | 9 articles | Viewed by 11185 | Submission Open
Keywords: mathematical model; dynamic system; bifurcation; chaos; normal form
(This special issue belongs to the Section Mathematical Analysis)
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