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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Elliptic Curves, Modular Forms, L-Functions and Applications
edited by Dongxi Ye and
submission deadline 30 Nov 2026 | 6 articles | Viewed by 5367 | Submission Open
Keywords: combinatorics; elliptic curves; L-functions; modular forms; number theory
(This special issue belongs to the Section Algebra and Number Theory)
Recent Developments in Mathematical Fluid Dynamics
edited by
submission deadline 30 Nov 2026 | 5 articles | Viewed by 5123 | 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)
New Developments in Geometric Function Theory, 4th Edition
edited by
submission deadline 30 Nov 2026 | 6 articles | Viewed by 4988 | Submission Open
Keywords: analytic function; univalent function; harmonic function; meromorphic function; differential subordination; differential superordination; differential operator; integral operator; fractional operator; q-operator; special functions
(This special issue belongs to the Section Mathematical Analysis)
Fixed-Point Theory and Its Related Topics, 5th Edition
edited by
submission deadline 30 Nov 2026 | 3 articles | Viewed by 4820 | Submission Open
Keywords: fixed point; best proximity point; equilibrium; Cauchy sequences; completeness; game theory
(This special issue belongs to the Section Mathematical Analysis)
Applied Mathematics and Numerical Analysis: Theory and Applications, 2nd Edition
edited by
submission deadline 30 Nov 2026 | 2 articles | Viewed by 4026 | 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)
Numerical Analysis, Approximation Theory and Related Topics
edited by Rada Mutavdžić Đukić and
submission deadline 30 Nov 2026 | 3 articles | Viewed by 3441 | Submission Open
Keywords: numerical analysis; numerical linear algebra; special functions; approximation theory; applied mathematics
(This special issue belongs to the Section Mathematical Analysis)
Methods and Applications of Advanced Statistical Analysis, 3rd Edition
edited by
submission deadline 30 Nov 2026 | 3 articles | Viewed by 3291 | Submission Open
Keywords: application of statistics; causal analysis; classification and clustering; data analysis; linear and nonlinear models; mixed modelling; nonparametric statistics; regression and analysis of variance; robust statistics; time series
(This special issue belongs to the Section Mathematical Analysis)
Orthogonal Polynomials, Special Functions and Applications, 3rd Edition submission deadline 30 Nov 2026 | 3 articles | Viewed by 2442 | 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)
Numerical Methods and Modeling for Multiscale Problems and Applications
edited by Emanuele Macca and Sebastiano Boscarino
submission deadline 30 Nov 2026 | 1 articles | Viewed by 1934 | 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)
Recent Advances in Mathematical Optimization and Related Topics
edited by Alberto Luque-Chang and Jorge Gálvez
submission deadline 30 Nov 2026 | 1 articles | Viewed by 1828 | Submission Open
Keywords: optimization; artificial intelligence; evolutionary algorithms; machine learning; mathematical modelling
(This special issue belongs to the Section Mathematical Analysis)
New Trends in Fuzzy Logic and Its Applications
edited by , Petra Murinova and
submission deadline 30 Nov 2026 | 2 articles | Viewed by 1683 | Submission Open
Keywords: fuzzy logic; fuzzy systems; fuzzy set theory; modeling vagueness and imprecision; uncertainty modeling; real-world applications
(This special issue belongs to the Section Logic)
Mathematical and Statistical Methods and Their Applications, 3rd Edition
edited by
submission deadline 30 Nov 2026 | 2 articles | Viewed by 1097 | Submission Open
Keywords: mathematical methods; mathematical statistics; applications; stochastic processes
(This special issue belongs to the Section Mathematical Analysis)
Recent Applications of Statistical and Mathematical Models
edited by
submission deadline 30 Nov 2026 | 1 articles | Viewed by 1004 | Submission Open
Keywords: mathematical modeling; statistical modeling; clustering; classification; time series analysis; spatial analysis; machine learning; data science; survival analysis; survey analysis; risk assessment; risk management
(This special issue belongs to the Section Mathematical Analysis)
Fractional Differential Equation and Its Applications, 2nd Edition
edited by and
submission deadline 30 Nov 2026 | 1 articles | Viewed by 948 | Submission Open
Keywords: fractional differential equations; stability analysis; bifurcation; chaos; and synchronization; identification; modeling; well-posedness; fractional brownian motion; noise; networks; delay; impulse; perturbance
(This special issue belongs to the Section Mathematical Analysis)
Trends in Phase Transitions, Synchronization, Irreversibility, and Critical Phenomena in Chaotic Dynamics submission deadline 30 Nov 2026 | 1 articles | Viewed by 876 | Submission Open
Keywords: phase transitions; irreversibility; critical phenomena; chaotic dynamics; synchronization; complex networks
(This special issue belongs to the Section Mathematical Physics)
Numerical Methods and Simulations for Partial Differential Equations
edited by Hyundong Kim
submission deadline 30 Nov 2026 | Viewed by 721 | 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)
Stochastic Modeling and Optimization Techniques, 2nd Edition
edited by , and Hranislav Milosevic
submission deadline 30 Nov 2026 | 1 articles | Viewed by 435 | 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)
Quantum Integrable Systems: Mathematical Structures and Applications
edited by and
submission deadline 30 Nov 2026 | Viewed by 310 | 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 274 | 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)
Elliptic-Type PDEs with Fractional Laplacian Operator and Applications
edited by Jianjun Nie and
submission deadline 30 Nov 2026 | Viewed by 265 | 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)
Numerical Analysis in Dynamical Systems—Theory, Algorithms and Applications submission deadline 30 Nov 2026 | Viewed by 253 | 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)
Financial Mathematics and Econophysics submission deadline 1 Dec 2026 | 5 articles | Viewed by 16394 | 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 1482 | 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 1048 | 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 8176 | 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 | 10 articles | Viewed by 10364 | 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 1489 | 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 1000 | 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)
Theory and Application of Integral Inequalities, 3rd Edition
edited by
submission deadline 30 Dec 2026 | 2 articles | Viewed by 525 | 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)
New Theory and Applications of Nonlinear Analysis, Fractional Calculus and Optimization, 3rd Edition
edited by
submission deadline 30 Dec 2026 | Viewed by 391 | 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
Computational Algebra, Coding Theory and Cryptography: Theory and Applications, 3rd Edition
edited by
submission deadline 31 Dec 2026 | 8 articles | Viewed by 4242 | 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 | 5 articles | Viewed by 3082 | 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 2538 | 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 | 3 articles | Viewed by 2254 | Submission Open
Keywords: aggregation functions; measure theory; capacities; game theory; geometric measure theory; fuzzy integrals; multicriteria decision making
15th Anniversary of Axioms: Logic submission deadline 31 Dec 2026 | 3 articles | Viewed by 1804 | 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)
Geometric, Value-Sharing and Asymptotic Properties of Analytic and Meromorphic Functions submission deadline 31 Dec 2026 | 3 articles | Viewed by 1804 | 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 Fuzzy Mathematics
edited by and Nicolás Zumelzu
submission deadline 31 Dec 2026 | 2 articles | Viewed by 1733 | 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)
Advances in Nonlinear Analysis and Its Application
edited by
submission deadline 31 Dec 2026 | 4 articles | Viewed by 1720 | Submission Open
Keywords: fixed point; fuzzy sets; nash equilibrium; non-differentiability; set optimization; variational inequalities
Advances in Numerical Analysis and Its Applications
edited by
submission deadline 31 Dec 2026 | 2 articles | Viewed by 1237 | 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)
New Trends in Fixed Point Theory in Fuzzy Metric Spaces and Their Generalizations
edited by
submission deadline 31 Dec 2026 | 2 articles | Viewed by 1125 | 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)
Research in Quantum Information Theory
edited by Tian Chen, Huihui Zhu and
submission deadline 31 Dec 2026 | 1 articles | Viewed by 1045 | 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)
General Theory of Inverse Problems and Their Numerical Methods
edited by , Wei Wang and Yong Chen
submission deadline 31 Dec 2026 | 1 articles | Viewed by 848 | Submission Open
Keywords: inverse problems; ill-posed problems; regularization; optimization; numerical methods
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Nonlinear Mathematical Physics and Complex Systems
edited by
submission deadline 31 Dec 2026 | 1 articles | Viewed by 760 | 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 on Applied Statistics and Stochastic Processes
edited by and
submission deadline 31 Dec 2026 | 2 articles | Viewed by 697 | 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 Stochastic Differential Equations: Theory, Computation and Applications
edited by
submission deadline 31 Dec 2026 | Viewed by 589 | Submission Open
Keywords: stochastic (partial) differential equations; Malliavin and rough-path calculus; numerical and high-order methods; uncertainty quantification; Lévy/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 458 | 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 443 | Submission Open
Keywords: partial differential equations; stochastic; blow-up; well-posedness; dynamics; numerical analysis; long-time behavior; probability
Recent Developments in the Numerical Simulations of Dynamical Systems and Fluid Dynamics submission deadline 31 Dec 2026 | Viewed by 384 | 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)
Advances in Graph Theory with Its Applications
edited by Manuel Ceballos and
submission deadline 30 Jan 2027 | 5 articles | Viewed by 5231 | 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 | 1 articles | Viewed by 448 | 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)
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