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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Matrices and Tensors over General Algebras with Applications submission deadline 31 Dec 2025 | Viewed by 773 | Submission Open
Keywords: matrices; tensors; eigenvalues; MP inverses; quaternions
(This special issue belongs to the Section Algebra and Number Theory)
Advances in Hopf Algebras, Tensor Categories and Related Topics
edited by , and Tianshui Ma
submission deadline 31 Dec 2025 | 1 articles | Viewed by 771 | 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)
Probability Theory and Stochastic Processes: Theory and Applications submission deadline 31 Dec 2025 | 1 articles | Viewed by 735 | Submission Open
Keywords: probability theory; stochastic processes; random walks; Gauss– Markov processes; Markov chains; stochastic modeling; ergodic theory; numerical simulations; machine learning; neuronal modeling
Applications in Functional Analysis
edited by Paolo Leonetti
submission deadline 31 Dec 2025 | Viewed by 423 | Submission Open
Keywords: sequence spaces; functional equations; geometry of banach spaces; ideal and filter convergence; partial orders; linear operators; summability; convexity; topological vector spaces; lineability
(This special issue belongs to the Section Mathematical Analysis)
Advances in Financial Mathematics and Stochastic Processes
edited by
submission deadline 31 Dec 2025 | Viewed by 298 | Submission Open
Keywords: derivative pricing; mathematical models; financial mathematics; stochastic volatility models; jump-diffusion models; credit risk; machine learning; portfolio optimization; time series; computational finance
Dynamic Systems and Differential Equations
edited by Vladimir A. Dobrushkin
submission deadline 31 Dec 2025 | Viewed by 277 | 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 261 | 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 195 | 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 145 | 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 8338 | 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 1103 | 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 | 4 articles | Viewed by 5924 | 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 80 | 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 14139 | 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 5612 | 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 3142 | 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 1248 | 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 | 1 articles | Viewed by 922 | 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 663 | 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 | Viewed by 541 | 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 257 | 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 148 | 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 118 | 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 103 | 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 93 | 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 90 | 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 67 | 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 1297 | 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 153 | 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 127 | 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 12690 | 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 9600 | Submission Open
Keywords: mathematical model; dynamic system; bifurcation; chaos; normal form
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Complex Analysis and Related Topics
edited by
submission deadline 28 Feb 2026 | 10 articles | Viewed by 8781 | Submission Open
Keywords: entire functions of several variables; analytic functions of several variables; growth estimates; applications of complex analysis; unit ball; unit polydisc; Reinhardt domain; geometric function theory; meromorphic functions; regular functions; Nevanlinna theory; Dirichlet series; slice holomorphic functions; entire curves; vector-valued entire functions
(This special issue belongs to the Section Mathematical Analysis)
Fractional Calculus and Its Applications: Historical and Recent Developments
edited by and Cristiana J. Silva
submission deadline 28 Feb 2026 | 5 articles | Viewed by 5948 | 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 5690 | 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 5220 | 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)
Advances in Linear Algebra with Applications, 2nd Edition submission deadline 28 Feb 2026 | 7 articles | Viewed by 4116 | Submission Open
Keywords: matrix theory; tensor theory; numerical methods in linear algebra; structured matrices and tensors; direct and iterative solution methods; accuracy methods in linear algebra; applications of linear algebra
(This special issue belongs to the Section Algebra and Number Theory)
Recent Advances in Fuzzy Theory Applications
edited by Rédina Berkachy and
submission deadline 28 Feb 2026 | 3 articles | Viewed by 2992 | Submission Open
Keywords: computational intelligence; fuzzy logic; fuzzy decision-making; fuzzy mathematics; fuzzy optimisation; fuzzy set theory; fuzzy statistics; fuzzy theory applications; uncertainty modelling; fuzzy systems and models
(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 | 3 articles | Viewed by 2798 | 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)
Fixed-Point Theory and Its Related Topics, 5th Edition
edited by
submission deadline 28 Feb 2026 | 2 articles | Viewed by 1663 | Submission Open
Keywords: fixed point; best proximity point; equilibrium; Cauchy sequences; completeness; game theory
(This special issue belongs to the Section Mathematical Analysis)
Elliptic Curves, Modular Forms, L-Functions and Applications
edited by Dongxi Ye and
submission deadline 28 Feb 2026 | 2 articles | Viewed by 1584 | Submission Open
Keywords: combinatorics; elliptic curves; L-functions; modular forms; number theory
(This special issue belongs to the Section Algebra and Number Theory)
Recent Advances in Differential Equations and Related Topics submission deadline 28 Feb 2026 | 3 articles | Viewed by 1394 | 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)
Numerical Methods and Modeling for Multiscale Problems and Applications
edited by Emanuele Macca and Sebastiano Boscarino
submission deadline 28 Feb 2026 | 1 articles | Viewed by 829 | Submission Open
Keywords: multiscale numerical methods; high-order schemes; coupled multiscale systems; implicit and semi-implicit approaches; computational applications in multiscale phenomena
(This special issue belongs to the Section Mathematical Analysis)
Numerical Analysis, Approximation Theory and Related Topics
edited by Rada Mutavdžić Đukić and
submission deadline 28 Feb 2026 | Viewed by 749 | Submission Open
Keywords: numerical analysis; numerical linear algebra; special functions; approximation theory; applied mathematics
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Mathematical Optimization and Related Topics
edited by Alberto Luque-Chang and Jorge Gálvez
submission deadline 28 Feb 2026 | Viewed by 579 | Submission Open
Keywords: optimization; artificial intelligence; evolutionary algorithms; machine learning; mathematical modelling
(This special issue belongs to the Section Mathematical Analysis)
Numerical Methods and Simulations for Partial Differential Equations
edited by Hyundong Kim
submission deadline 28 Feb 2026 | Viewed by 361 | Submission Open
Keywords: numerical method; numerical simulation; mathematical modeling; finite difference method; phase-field model; mathematical biology; computational finance; PDE solver on surfaces
(This special issue belongs to the Section Mathematical Analysis)
Applied Mathematics and Numerical Analysis: Theory and Applications, 2nd Edition
edited by
submission deadline 28 Feb 2026 | Viewed by 108 | Submission Open
Keywords: ordinary differential equations (ODEs); partial differential equations (PDEs); stochastic differential equations (SDEs); delay differential equations (DDEs); differential-algebraic equations (DAEs); integral equations; iterative methods; fluid dynamics; thermodynamics; quantum dynamics; control theory
(This special issue belongs to the Section Mathematical Analysis)
Recent Developments in Mathematical Fluid Dynamics
edited by
submission deadline 28 Feb 2026 | Viewed by 74 | Submission Open
Keywords: mathematical fluid dynamics; partial differential equations; multiphase flows; non-Newtonian fluids; numerical methods; axiomatic modeling; stability and control in fluid dynamics; multiscale simulations; high-performance computing; machine learning in fluid dynamics
(This special issue belongs to the Section Mathematical Physics)
Trends in Dynamical Systems and Applied Mathematics
edited by and Sandra Maria Santos Vinagre
submission deadline 1 Mar 2026 | 4 articles | Viewed by 1743 | Submission Open
Keywords: mathematical modeling; dynamical systems; nonlinear systems; theory of singularities; fixed point theory; bifurcation theory; complex systems; iteration theory; topological dynamics; ergodic theory; symbolic dynamics; population dynamics; embedding problems; networks; synchronization; simulation; chaos; functional 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 279 | Submission Open
Keywords: mathematical modeling; optimization; computational modeling
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