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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Mathematical and Statistical Methods and Their Applications, 3rd Edition
edited by
submission deadline 30 Nov 2026 | 2 articles | Viewed by 710 | Submission Open
Keywords: mathematical methods; mathematical statistics; applications; stochastic processes
(This special issue belongs to the Section Mathematical Analysis)
Numerical Methods and Simulations for Partial Differential Equations
edited by Hyundong Kim
submission deadline 30 Nov 2026 | Viewed by 663 | 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)
Quantum Integrable Systems: Mathematical Structures and Applications
edited by and
submission deadline 30 Nov 2026 | Viewed by 213 | Submission Open
Keywords: quantum integrable models; quantum scattering; quantization; quantum many-body physics; quantum algebras; quantum groups; spin chains; quantum billiards; quantum computation; quantum information
(This special issue belongs to the Section Mathematical Physics)
Visualization in Computer Graphics: Mathematical Settings, Overview and Applications
edited by Vesna Velickovic and
submission deadline 30 Nov 2026 | Viewed by 191 | Submission Open
Keywords: visualization of abstract and complex concepts; scientific visualization; mathematics in computer graphics; visualization methods; computational visualization; data visualization; interactive visualization; educational visualization; software for visualization
(This special issue belongs to the Section Mathematical Analysis)
Numerical Analysis in Dynamical Systems—Theory, Algorithms and Applications submission deadline 30 Nov 2026 | Viewed by 171 | Submission Open
Keywords: numerical analysis; dynamical systems; geometric integration; structure-preserving algorithms; numerical bifurcation analysis; computational dynamics; time integration; Hamiltonian systems; chaotic systems; multiscale simulation
(This special issue belongs to the Section Mathematical Analysis)
Stochastic Modeling and Optimization Techniques, 2nd Edition
edited by , and Hranislav Milosevic
submission deadline 30 Nov 2026 | Viewed by 163 | 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)
Elliptic-Type PDEs with Fractional Laplacian Operator and Applications
edited by Jianjun Nie and
submission deadline 30 Nov 2026 | Viewed by 158 | Submission Open
Keywords: elliptic PDEs; Fractional Laplacian Operator; existence and properties of solutions; elliptic-type PDEs
(This special issue belongs to the Section Mathematical Analysis)
Financial Mathematics and Econophysics submission deadline 1 Dec 2026 | 5 articles | Viewed by 15159 | 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)
Research on Fuzzy Sets and Multi-Criteria Decision Making with Applications
edited by Venkateswarlu Nalluri and
submission deadline 25 Dec 2026 | 1 articles | Viewed by 1085 | Submission Open
Keywords: fuzzy sets; rough set theory; uncertainty modeling; multi-criteria decision making; decision making theory; decision support system; modeling in business management; technology adoption; sustainable processes MCDM
(This special issue belongs to the Section Mathematical Analysis)
Advances in Mathematics and Its Applications, 3rd Edition submission deadline 25 Dec 2026 | 1 articles | Viewed by 799 | Submission Open
Keywords: numerical analysis; optimization; differential equations; educational models and methods; engineering models and simulation; algebraic models and methods with various applications; information theory; mathematical applications
(This special issue belongs to the Section Mathematical Analysis)
Trends in Dynamical Systems and Applied Mathematics
edited by and Sandra Maria Santos Vinagre
submission deadline 29 Dec 2026 | 5 articles | Viewed by 7271 | 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)
Advances in Linear Algebra with Applications, 2nd Edition submission deadline 30 Dec 2026 | 8 articles | Viewed by 8643 | 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)
Fixed-Point and Iterative Methods for Nonlinear Operators: Existence, Convergence, Stability, and Applications
edited by Wojciech M. Kozlowski
submission deadline 30 Dec 2026 | 1 articles | Viewed by 835 | Submission Open
Keywords: existence and uniqueness of fixed points; approximation of fixed points; iterative methods for fixed point construction; implicit iteration processes and their applications; weak and strong topology convergence of fixed-point construction processes; stability of iterative algorithms; applications of fixed-point theorems to differential equations; stationary points in dynamical systems; applications of fixed-point theory in science and technology
(This special issue belongs to the Section Mathematical Analysis)
Operator Theory and Related Topics
edited by
submission deadline 30 Dec 2026 | 1 articles | Viewed by 825 | Submission Open
Keywords: spectral theory and spectral radius; operator matrices and elementary operators; orthogonality in operator spaces; numerical ranges and norm inequalities; unitarily invariant norms; matrix inequalities and operator monotone functions; orthogonal projections and positive operators; perturbation theory and stability analysis; functional calculus and operator algebras; Banach and Hilbert space theory; operator inequalities; multivariable operator theory
(This special issue belongs to the Section Mathematical Analysis)
New Theory and Applications of Nonlinear Analysis, Fractional Calculus and Optimization, 3rd Edition
edited by
submission deadline 30 Dec 2026 | Viewed by 236 | Submission Open
Keywords: functional analysis; fixed point theory and its applications; set-valued analysis; critical point theory; matrix theory; convex analysis; fractional differential equation; well-posedness of fractional system; fractional epidemic model; non-smooth analysis and optimization; graph theory and optimization; stability analysis; dynamics and chaos; machine learning; artificial neural networks
Theory and Application of Integral Inequalities, 3rd Edition
edited by
submission deadline 30 Dec 2026 | Viewed by 165 | Submission Open
Keywords: generalized convexity; q-calculus; fractional calculus; variational inequalities; interval-valued inequalities; Jensen inequality; applications in information theory and statistics; inequalities related to functions; applications of inequalities in operator theory; matrix inequality
(This special issue belongs to the Section Mathematical Analysis)
Computational Algebra, Coding Theory and Cryptography: Theory and Applications, 3rd Edition
edited by
submission deadline 31 Dec 2026 | 6 articles | Viewed by 2571 | Submission Open
Keywords: algebraic structures; coding theory; cryptography; linear codes; quantum codes; polycyclic codes; self-dual codes; Hermitian codes; quasicyclic codes; codes over rings
(This special issue belongs to the Section Algebra and Number Theory)
Theory and Applications: Differential Geometry
edited by Xiaomin Chen
submission deadline 31 Dec 2026 | 4 articles | Viewed by 1965 | Submission Open
Keywords: differential geometry; riemannian geometry; symplectic geometry; discrete differential geometry; geometric analysis; differential geometry in robotics
(This special issue belongs to the Section Geometry and Topology)
Advances in Differential Geometry and Mathematical Physics, 2nd Edition
edited by
submission deadline 31 Dec 2026 | 3 articles | Viewed by 1659 | Submission Open
Keywords: pseudo-Riemannian geometry; teleparallel geometry; Riemann– Cartan geometry; symmetries; invariants; black holes; conformal symmetries; alternative theories of gravity
(This special issue belongs to the Section Mathematical Physics)
Measure Theory and Related Topics submission deadline 31 Dec 2026 | 2 articles | Viewed by 1549 | Submission Open
Keywords: aggregation functions; measure theory; capacities; game theory; geometric measure theory; fuzzy integrals; multicriteria decision making
Advances in Fuzzy Mathematics
edited by and Nicolás Zumelzu
submission deadline 31 Dec 2026 | 2 articles | Viewed by 1361 | Submission Open
Keywords: fuzzy mathematics; fuzzy control systems; optimization and modeling; uncertainty analysis; fuzzy decision-making; applications in engineering and artificial intelligence
(This special issue belongs to the Section Logic)
Geometric, Value-Sharing and Asymptotic Properties of Analytic and Meromorphic Functions submission deadline 31 Dec 2026 | 3 articles | Viewed by 1150 | Submission Open
Keywords: entire function; meromorphic function; dirichlet series; analytic function; starlikeness; convexity; bounded turning; coefficient bound; hankel determinant; fekete– Szego estimates; hardy space; uni- and multivalent functions; nevanlinna theory; subordination; superordination; growth estimates; shared sets; weighted sharing; uniqueness theorem; differential polynomial; complex differential equation; finite distortion
(This special issue belongs to the Section Mathematical Analysis)
Advances in Nonlinear Analysis and Its Application
edited by
submission deadline 31 Dec 2026 | 1 articles | Viewed by 733 | Submission Open
Keywords: fixed point; fuzzy sets; nash equilibrium; non-differentiability; set optimization; variational inequalities
New Trends in Fixed Point Theory in Fuzzy Metric Spaces and Their Generalizations
edited by
submission deadline 31 Dec 2026 | 1 articles | Viewed by 639 | Submission Open
Keywords: fuzzy metric space; fixed-point; contractive mapping; generalized fuzzy metric spaces; common fixed points; completeness; stability analysis; convergence and uniqueness results; optimization; nonlinear analysis
(This special issue belongs to the Section Mathematical Analysis)
Advances in Stochastic Differential Equations: Theory, Computation and Applications
edited by
submission deadline 31 Dec 2026 | Viewed by 474 | Submission Open
Keywords: stochastic (partial) differential equations; Malliavin and rough-path calculus; numerical and high-order methods; uncertainty quantification; Lé vy/jump processes; machine learning for SDEs; stochastic control and filtering; SPDE applications
(This special issue belongs to the Section Mathematical Analysis)
Numerical Computation, Approximation of Functions and Applied Mathematics, 3rd Edition
edited by
submission deadline 31 Dec 2026 | Viewed by 363 | Submission Open
Keywords: approximation of functions; numerical computation; computational complexity; optimization; machine learning; signal processing
(This special issue belongs to the Section Mathematical Analysis)
Advances in Partial Differential Equations: Qualitative Analysis and Numerical Methods, 2nd Edition
edited by and Jun Zhou
submission deadline 31 Dec 2026 | Viewed by 349 | Submission Open
Keywords: partial differential equations; stochastic; blow-up; well-posedness; dynamics; numerical analysis; long-time behavior; probability
General Theory of Inverse Problems and Their Numerical Methods
edited by , Wei Wang and Yong Chen
submission deadline 31 Dec 2026 | Viewed by 288 | Submission Open
Keywords: inverse problems; ill-posed problems; regularization; optimization; numerical methods
(This special issue belongs to the Section Mathematical Analysis)
Recent Developments in the Numerical Simulations of Dynamical Systems and Fluid Dynamics
edited by and Yusuf Tijani
submission deadline 31 Dec 2026 | Viewed by 280 | Submission Open
Keywords: quasilinearization; ordinary differential equations; partial differential equations; fractional differential equations; neural networks; interpolating polynomials; spectral-based methods; finite difference-based methods; relaxation; sparse matrices; convergence; stability
(This special issue belongs to the Section Mathematical Physics)
Recent Advances in Nonlinear Mathematical Physics and Complex Systems
edited by
submission deadline 31 Dec 2026 | Viewed by 274 | Submission Open
Keywords: integrable systems; lie symmetries and group analysis; bifurcation theory; stability analysis; soliton theory; dissipative systems; nonlinear waves; complex dynamics and chaos; nonlinear optics; mathematical fluid dynamics; quantum mechanics; complex fluids; computational physics
(This special issue belongs to the Section Mathematical Physics)
Research in Quantum Information Theory
edited by Tian Chen, Huihui Zhu and
submission deadline 31 Dec 2026 | Viewed by 259 | Submission Open
Keywords: quantum information; quantum entanglement; quantum computing; quantum communication; quantum cryptography; quantum error correction; quantum networks
(This special issue belongs to the Section Mathematical Physics)
15th Anniversary of Axioms: Logic submission deadline 31 Dec 2026 | Viewed by 241 | Submission Open
Keywords: mathematical logic; fuzzy systems and fuzzy logic; computability and recursion theory; multiple-criteria decision-making; computational intelligence
(This special issue belongs to the Section Logic)
Advances in Numerical Analysis and Its Applications
edited by
submission deadline 31 Dec 2026 | Viewed by 212 | Submission Open
Keywords: numerical analysis; scientific computing; optimization; interpolation; approximation; orthogonal polynomials; rational approximation; splines; error bound; error estimation; numerical differentiation; quadrature rules; cubature rules; convergence analysis; numerical methods for ordinary differential equations; numerical methods for partial differential equations; numerical solving of integral equations; diffusion and anomalous diffusion problems
(This special issue belongs to the Section Mathematical Analysis)
Research on Applied Statistics and Stochastic Processes
edited by and
submission deadline 31 Dec 2026 | Viewed by 160 | Submission Open
Keywords: statistical modeling; applied probability; data analysis; computational statistics; stochastic processes; machine learning; deep learning
(This special issue belongs to the Section Mathematical Analysis)
Advances in Graph Theory with Its Applications
edited by Manuel Ceballos and
submission deadline 30 Jan 2027 | 5 articles | Viewed by 3541 | Submission Open
Keywords: graph theory; graph algorithms; network analysis; structural graph properties; computational geometry; graph applications; interdisciplinary mathematics; optimization; modeling
(This special issue belongs to the Section Mathematical Analysis)
Advances in Nonlinear Equations with Applications
edited by Jean-Claude Ndogmo and
submission deadline 30 Jan 2027 | Viewed by 171 | Submission Open
Keywords: nonlinear differential equations; fractional order; control theory; boundary valued problems; lie group analysis; difference equations; lax pairs and integrable systems; uncertain systems; applications
(This special issue belongs to the Section Mathematical Analysis)
New Research on Operator Theory and Its Applications
edited by Trung-Hoa Dinh
submission deadline 30 Jan 2027 | Viewed by 145 | Submission Open
Keywords: operator theory; matrix theory; functional analysis; matrix analysis; operator inequalities; spectral theory; positive linear maps; quantum information theory; quantum computation; linear and multilinear algebra
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Differential Equations and Related Topics submission deadline 31 Jan 2027 | 5 articles | Viewed by 4511 | 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)
Advances in Representation Theory of Algebras submission deadline 31 Jan 2027 | 1 articles | Viewed by 967 | Submission Open
Keywords: triangulated categories; derived categories; singular categories; representation of quiver; homological algebras; gorenstein homological algebras; quasi-hereditary algebras; AR theory; tilting theory
(This special issue belongs to the Section Algebra and Number Theory)
New Perspective on Fractal Geometry and Its Application
edited by
submission deadline 31 Jan 2027 | 2 articles | Viewed by 907 | Submission Open
Keywords: fractal geometry and its applications; combinatorics on words; substitution sequences; fractal network; tiling; multifractal analysis
(This special issue belongs to the Section Geometry and Topology)
Advances and Applications in Graph Theory
edited by Rao Li and
submission deadline 31 Jan 2027 | 1 articles | Viewed by 418 | Submission Open
Keywords: graph theory; graph coloring; graph algorithms; graphical invariants; matching theory
(This special issue belongs to the Section Algebra and Number Theory)
Advances in Generalized Hypergeometric Functions, Integral Transforms and Number Theory, 2nd Edition
edited by , and Arjun Kumar Rathie
submission deadline 31 Jan 2027 | Viewed by 404 | Submission Open
Keywords: generalized hypergeometric functions with one and more variables; transformation; summation; reduction formulas; applications in Ramanujan’ s work and in combinatorics; integral transforms; Laplace; Mellin; Hankel transforms; Fourier transforms (including Sine and Cosine); number theory with applications
Application of Machine Learning and Optimization Methods in Engineering Mathematics, 2nd Edition submission deadline 31 Jan 2027 | Viewed by 384 | Submission Open
Keywords: optimization methods; multicriteria optimization; operational research; intelligent decision support systems; environmentally friendly solutions; green building materials; application of machine learning techniques; project management; construction management
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Foundations for Physical Sciences submission deadline 31 Jan 2027 | Viewed by 382 | Submission Open
Keywords: quantum mechanics; special relativity; relativistic quantum mechanics; bound state; computational mathematical modeling; functional methods
(This special issue belongs to the Section Mathematical Physics)
Mathematical Foundations and Applications of Rough and Fuzzy Set Methods
edited by Tingting Zheng and Yi Xu
submission deadline 31 Jan 2027 | Viewed by 177 | Submission Open
Keywords: rough set theory; fuzzy set theory; granular computing; granular-ball computing; decision making; data mining; three-way decisions; fuzzy rough set; rough fuzzy set; uncertainty modeling
(This special issue belongs to the Section Logic)
Recent Advances in Complex Analysis and Related Topics, 2nd Edition
edited by
submission deadline 31 Jan 2027 | Viewed by 129 | 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)
Applications of Bayesian Methods in Statistical Analysis, Second Edition
edited by Puying Zhao and Yanqing Zhang
submission deadline 31 Jan 2027 | Viewed by 117 | Submission Open
Keywords: Bayesian inference; variational Bayesian method; machine learning; Markov Chain Monte Carlo (MCMC) methods; applications in Bayesian methods; Bayesian prior; hierarchical model; parameter estimation; interval estimation; related topics about Bayesian methods
(This special issue belongs to the Section Mathematical Analysis)
New Developments in Fuzzy Logic and Its Applications
edited by Gerardo Maximiliano Mendez, María Aracelia Alcorta García, and Ismael Lopez-Juarez
submission deadline 31 Jan 2027 | Viewed by 77 | Submission Open
Keywords: fuzzy logic; fuzzy logic systems; optimization; decision-making
(This special issue belongs to the Section Logic)
Advances in Functional Analysis and Banach Space
edited by Shaoqiang Shang and
submission deadline 28 Feb 2027 | 6 articles | Viewed by 3800 | Submission Open
Keywords: Banach space geometry theory; fixed point theory; orlicz space; coarse isometry; approximation
(This special issue belongs to the Section Mathematical Analysis)
Advances in Nonlinear Analysis and Numerical Modeling
edited by and Cosmin Dănuț Barbu
submission deadline 28 Feb 2027 | 3 articles | Viewed by 2990 | Submission Open
Keywords: modeling; simulation and optimization; nonlinear analysis; perturbations; parameter estimations
(This special issue belongs to the Section Mathematical Physics)
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