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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Special Functions and Related Topics
edited by and Miomir Stankovic
submission deadline 31 Jul 2025 | 5 articles | Viewed by 3626 | Submission Open
Keywords: Gamma function; Riemann zeta and related functions; Hurwitz zeta function; Psi (Digamma) function; Pochammer symbol; Gauss hypergeometric function; Bessel and related functions; Bernoulli numbers and polynomials; harmonic numbers; Schlö milch series
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Methods in the Applied Sciences, 2nd Edition submission deadline 31 Jul 2025 | 2 articles | Viewed by 2562 | Submission Open
Keywords: mathematical methods; analysis; applied mathematics; biomathematics; modeling; applied sciences; real systems; applied mechanics; quantitative models; simulation methodology; inverse problems; numerical methods; machine learning; deep learning; reinforcement learning
(This special issue belongs to the Section Mathematical Analysis)
Complex Networks and Dynamical Systems
edited by Shang Gao, Chunmei Zhang and Ying Guo
submission deadline 31 Jul 2025 | 3 articles | Viewed by 2031 | Submission Open
Keywords: complex networks; stability; white noise; telegraph noise; stochastic systems; control theory; synchronization; periodicity
(This special issue belongs to the Section Mathematical Physics)
Advances in Graph Theory with Its Applications
edited by Manuel Ceballos and
submission deadline 31 Jul 2025 | 1 articles | Viewed by 326 | 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)
Applications in Harmonic Analysis
edited by and Guanghui Lu
submission deadline 31 Jul 2025 | Viewed by 218 | Submission Open
Keywords: function space; operator; commutator; boundedness; compactness
Applied Number Theory to Cryptography and Coding Theory
edited by Iván Blanco Chacón
submission deadline 31 Jul 2025 | Viewed by 137 | Submission Open
Keywords: applied number theory; arithmetic lattices; lattice-based cryptography; factoring; coding theory; space– time block codes; zeta functions of codes
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Mathematical Physics with Applications in Quantum Theory
edited by Oscar Gerardo Loaiza-Brito and
submission deadline 31 Jul 2025 | Viewed by 104 | Submission Open
Keywords: quantum theories; quantum field theory (QFT); topological quantum field theory (TQFT); quantum gravity; entanglement; quantum information; string theory; generalized symmetries; non-invertible symmetries
(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 31 Jul 2025 | Viewed by 99 | 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)
Differential Equations and Related Topics, 2nd Edition submission deadline 29 Aug 2025 | 8 articles | Viewed by 6674 | Submission Open
Keywords: differential equations; partial differential equations; fractional differential equations; initial-value problems; boundary value problems; ulam’ s type stability; fixed-point theory approximation; theory numerical schemes; integral transforms real-world applications; other related topics
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Modeling and Control: Theory and Applications
edited by Guangying Lv and
submission deadline 29 Aug 2025 | Viewed by 544 | Submission Open
Keywords: stochastic control; multi-agent systems; optimal control; stochastic (partial) differential equations; fractional differential equations; machine learning
(This special issue belongs to the Section Mathematical Analysis)
Difference, Functional, and Related Equations, 2nd Edition
edited by Ravi Shankar and
submission deadline 29 Aug 2025 | 1 articles | Viewed by 269 | Submission Open
Keywords: difference equations; functional equations; delay differential equations; fractional difference and other equations; numerical methods for equations; stochastic equation; stochastic analysis; applications to natural and social sciences
(This special issue belongs to the Section Mathematical Analysis)
Advances in Mathematical Models and Applications
edited by Juan Pablo Gutiérrez-Jara and Fernando Córdova-Lepe
submission deadline 30 Aug 2025 | 1 articles | Viewed by 279 | Submission Open
Keywords: mathematical modeling; applied mathematics; epidemiological mathematical models; ecological mathematical models; mathematical models in agronomy; mathematical models in forestry; dynamical system
(This special issue belongs to the Section Mathematical Analysis)
Advances in Fuzzy Preference Relations and Decision-Making Methods with Applications submission deadline 31 Aug 2025 | 10 articles | Viewed by 17468 | 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)
Recent Progress in Computational Fluid Dynamics
edited by Satyvir Singh
submission deadline 31 Aug 2025 | 2 articles | Viewed by 2312 | Submission Open
Keywords: computational fluid dynamics; high-order numerical methods; hydrodynamic instability; Richtmyer– Meshkov instability; convection flows; Newtonian and non-Newtonian flows; rarefied flows; Navier– Stokes equations; multiphase flows; computational approaches; computational flow physics
New Perspectives in Operator Theory and Functional Analysis
edited by
submission deadline 31 Aug 2025 | 4 articles | Viewed by 1849 | Submission Open
Keywords: operator theory; functional analysis; linear operator; nonlinear operator; operator algebras
(This special issue belongs to the Section Mathematical Analysis)
Modern Trends and Application of Decision-Making Theory, Stability and Control
edited by and Oleksiy V. Kapustyan
submission deadline 31 Aug 2025 | 4 articles | Viewed by 1822 | Submission Open
Keywords: nonlinear systems; stability; perturbation; impulsive systems; approximation; numerical methods; control; decision making theory; machine learning
New Perspectives in Lie Algebras submission deadline 31 Aug 2025 | 2 articles | Viewed by 1785 | Submission Open
Keywords: structure theory of Lie algebras and superalgebras; classification problems; representation theory; realizations by vector fields or differential operators; computational methods; lie algebras and symmetries of systems; applications to other natural sciences
(This special issue belongs to the Section Algebra and Number Theory)
Advances in Applied Algebra and Related Topics
edited by Filipa Soares de Almeida and
submission deadline 31 Aug 2025 | 2 articles | Viewed by 1505 | Submission Open
Keywords: applied algebra; coding theory; computer science; cryptography; data analysis; mathematical modeling; number theory; optimization problems
(This special issue belongs to the Section Algebra and Number Theory)
Theory and Application of Integral Inequalities, 2nd Edition
edited by
submission deadline 31 Aug 2025 | 3 articles | Viewed by 595 | 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)
Reliability and Risk of Complex Systems: Modelling, Analysis and Optimization, 2nd Edition submission deadline 31 Aug 2025 | 1 articles | Viewed by 524 | Submission Open
Keywords: reliability modelling; optimization; risk analysis; statistical methods; degradation modelling; machine learning; uncertainty quantification; bayesian methods
Advances in Functional Analysis: Theoretical Results and Applications to Statistical Inference and Entropy
edited by Răzvan-Cornel Sfetcu and
submission deadline 31 Aug 2025 | Viewed by 353 | Submission Open
Keywords: functional analysis; statistical inference; information theory; entropy; divergence measure; survival analysis; actuarial science
(This special issue belongs to the Section Mathematical Analysis)
Infinite Dynamical System and Differential Equations submission deadline 29 Sep 2025 | 8 articles | Viewed by 8832 | 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)
Mathematical Analysis and Applications IV submission deadline 30 Sep 2025 | 10 articles | Viewed by 17306 | Submission Open
Keywords: mathematical (or higher transcendental) functions and their applications; fractional calculus and its applications; q-series and q-polynomials; analytic number theory; special functions of mathematical physics and applied mathematics; geometric function theory of complex analysis
(This special issue belongs to the Section Mathematical Analysis)
Advances in Mathematical Optimization Algorithms and Its Applications
edited by
submission deadline 30 Sep 2025 | 7 articles | Viewed by 11703 | Submission Open
Keywords: optimization algorithms; swarm intelligence; bio-inspired algorithms; fuzzy logic; neural networks; collective intelligence; mathematical algorithms
(This special issue belongs to the Section Mathematical Analysis)
Advances in Differential Equations and Its Applications submission deadline 30 Sep 2025 | 11 articles | Viewed by 9854 | Submission Open
Keywords: functional differential equations/systems; fractional differential equations/systems; fractional derivatives of a constant order; distributed-order fractional derivatives; variable-order fractional derivatives; stability analysis of fractional-order systems; asymptotic properties of fractional-order systems
(This special issue belongs to the Section Mathematical Analysis)
Advances in Fixed Point Theory with Applications
edited by and Monica-Felicia Bota
submission deadline 30 Sep 2025 | 7 articles | Viewed by 6754 | Submission Open
Keywords: fixed point theory; well-posedness; stability; coincidence and common fixed points; abstract metric spaces; differential equations and inclusions; integral equations and inclusions; fractional differential equations and inclusions; iterative methods; dynamical systems
(This special issue belongs to the Section Mathematical Analysis)
Advances in Differential Geometry and Singularity Theory, 2nd Edition submission deadline 30 Sep 2025 | 9 articles | Viewed by 5365 | Submission Open
Keywords: singularity theory; morse theory; singularities; singular submanifolds; light-like submanifolds; differentiable manifolds; submanifold theory; legendrian duality; front and frontal
(This special issue belongs to the Section Geometry and Topology)
Probability, Statistics and Estimations, 2nd Edition submission deadline 30 Sep 2025 | 6 articles | Viewed by 4310 | Submission Open
Keywords: survival analysis; cure rate model; distribution theory; regression models; machine learning; applied statistics; Bayesian statistics
(This special issue belongs to the Section Mathematical Analysis)
Applied Mathematics and Mathematical Modeling submission deadline 30 Sep 2025 | 3 articles | Viewed by 3017 | Submission Open
Keywords: applied mathematics; mathematical modeling; numerical methods; optimization; stochastic processes; computational algorithms; interdisciplinary applications; real-world applications
(This special issue belongs to the Section Mathematical Analysis)
Fractal Analysis and Mathematical Integration
edited by Donatella Bongiorno and
submission deadline 30 Sep 2025 | 3 articles | Viewed by 2880 | Submission Open
Keywords: fractal analysis; fractal calculus; measure theory; mathematical integration; fractal subsets
(This special issue belongs to the Section Mathematical Analysis)
Advances in Fuzzy Logic with Applications
edited by Diego García-Zamora and Juan Martínez-Moreno
submission deadline 30 Sep 2025 | 4 articles | Viewed by 2100 | Submission Open
Keywords: decision-making; fuzzy logic; aggregation operators; uncertainty modeling; approximate reasoning; fuzzy metric spaces
(This special issue belongs to the Section Logic)
Advances in Fuzzy Logic and Fuzzy Implications submission deadline 30 Sep 2025 | Viewed by 370 | Submission Open
Keywords: fuzzy logic; fuzzy set theory; fuzzy mathematics; fuzzy connectives; fuzzy implications; triangular norms; triangular co-norms; fuzzy control; fuzzy systems and applications; pythagorean fuzzy sets; fuzzy set extension
Advances in Nonlinear Analysis and Numerical Modeling
edited by and Cosmin Dănuț Barbu
submission deadline 30 Sep 2025 | 1 articles | Viewed by 268 | Submission Open
Keywords: modeling; simulation and optimization; nonlinear analysis; perturbations; parameter estimations
(This special issue belongs to the Section Mathematical Physics)
Mathematical Foundations and Their Applications in Optical Sciences submission deadline 30 Sep 2025 | Viewed by 77 | Submission Open
Keywords: light propagation; optics and photonics; Sagnac optical effects; one-way linear effect; light speed invariance; mathematical physics
(This special issue belongs to the Section Mathematical Physics)
Recent Developments in Differential Geometry and Its Applications
edited by Yanhua Yu, and Yun Yang
submission deadline 30 Sep 2025 | Viewed by 50 | Submission Open
Keywords: riemannian manifold; calculus of variations; curve flow; mean curvature flow; heisenberg space; pseudo-euclidean space; invariants; lie groups and lie algebras; centro-affine geometry
(This special issue belongs to the Section Geometry and Topology)
New Trends in Discrete Probability and Statistics, 2nd Edition
edited by
submission deadline 30 Sep 2025 | Viewed by 45 | Submission Open
Keywords: parametric discrete distributions; distributions associated with discrete orthogonal polynomials; empirical distributions; empirical processes
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Quantum Mechanics and Mathematical Physics
edited by
submission deadline 1 Oct 2025 | 4 articles | Viewed by 2475 | Submission Open
Keywords: quantum mechanics; Heisenberg’ s uncertainty principle; entanglement; quantum gravity; mathematical physics
(This special issue belongs to the Section Mathematical Physics)
Mathematical Models and Simulations, 2nd Edition
edited by
submission deadline 30 Oct 2025 | 7 articles | Viewed by 5629 | Submission Open
Keywords: mathematical models; ordinary differential equations; partial differential equations; stochastic processes; stochastic differential equations; finite difference schemes; finite volume schemes; finite element method; discontinuous galerkin method; monte carlo method
(This special issue belongs to the Section Mathematical Physics)
Mathematical Optimizations and Operations Research
edited by Shen Peng and Jia Liu
submission deadline 30 Oct 2025 | 4 articles | Viewed by 2799 | Submission Open
Keywords: convex and nonconvex optimization; nonsmooth optimization; large-scale optimization; integer program; stochastic optimization; robust optimization; distributionally robust optimization; artificial intelligence; operations research
(This special issue belongs to the Section Mathematical Analysis)
Differential Equations and Inverse Problems, 2nd Edition
edited by , Qiang Ma, and Lifeng Guo
submission deadline 30 Oct 2025 | 4 articles | Viewed by 2668 | Submission Open
Keywords: partial differential equations; ordinary differential equations; stochastic differential equations; fractional differential equations; fractional calculus; inverse and ill-posed problems; imaging; image reconstruction; tomography; tomographic reconstruction; regularization methods; numerical methods; structure-preserving methods; minimax methods; artificial intelligence; deep learning; reinforcement learning; compact radial basis function approximations; approximations based on neural networks; node layouts for irregular domains; multi-asset option pricing problems; numerical methods for matrix functions; iterative methods for the solution of nonlinear equations; Schulz-type iterative method for generalized matrix inversion; biostatistics and pattern recognition; combination counting; separation theory; information security; existence of solutions; exact solutions; fractional Fourier transform and its applications; interdisciplinary application of mathematics and other disciplines
(This special issue belongs to the Section Mathematical Analysis)
Graph Theory and Combinatorics: Theory and Applications
edited by , Jian-Bing Liu and
submission deadline 30 Oct 2025 | 3 articles | Viewed by 2331 | Submission Open
Keywords: graph theory; combinatorial optimization; digraphs; hypergraphs; connectivity; group connectivity; strongly group connectivity; strong arc connectivity; extremal problems; extremal digraphs; graph coloring; list coloring; planar graphs; nowhere-zero flows; edge coloring; strong edge coloring; chromatic number; decomposition; eigenvalues; supereulerian graphs; domination number
Advances in the Theory and Applications of Statistical Distributions submission deadline 30 Oct 2025 | 2 articles | Viewed by 2204 | Submission Open
Keywords: distribution theory; classical statistic; bayesian statistic; regression models; survival analysis; actuarial statistics
(This special issue belongs to the Section Mathematical Analysis)
Computational Statistics and Its Applications, 2nd Edition submission deadline 31 Oct 2025 | Viewed by 75 | 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)
Recent Advances in Maps Preserving Problems and Algebraic Structures submission deadline 31 Oct 2025 | Viewed by 55 | Submission Open
Keywords: maps preserving; Jordan products; Lie products; homomorphisms; derivations; prime algebras; von Neumann algebras; structural characterizations
(This special issue belongs to the Section Algebra and Number Theory)
Advances in Mathematical Methods in Optimal Control and Applications, 2nd Edition
edited by Cristiana J. Silva
submission deadline 31 Oct 2025 | Viewed by 52 | Submission Open
Keywords: optimal control problems; optimality conditions; mathematical methods; applications
(This special issue belongs to the Section Mathematical Analysis)
Mathematics and Its Applications in Other Disciplines
edited by and
submission deadline 20 Nov 2025 | Viewed by 164 | Submission Open
Keywords: pure mathematics; applied mathematics; control theory; combinatorics; graph theory; network optimization; network design; computational theory; algorithm design and analysis; computer-aided geometric design; algorithmic complexity; automata theory
Numerical Methods and Approximation Theory
edited by Marius Birou, and
submission deadline 28 Nov 2025 | 5 articles | Viewed by 8079 | 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)
Mathematical Aspects of Black Holes in General Relativity and Beyond
edited by
submission deadline 28 Nov 2025 | Viewed by 107 | Submission Open
Keywords: gravitational waves; modified gravity models; AdS/CFT correspondence; nonlinear electrodynamics; black hole thermodynamics; geometrical thermodynamics; quantum-corrected black holes; black hole and wormhole solutions; relativistic astrophysics and accretion disks; relativistic kinetic theory on curved spacetime; black hole perturbation theory and quasinormal modes; metric tensor; geodesic equations; Einstein’ s field equations and beyond
(This special issue belongs to the Section Hilbert’s Sixth Problem)
The Numerical Analysis and Its Application, 2nd Edition
edited by Janis Bajars
submission deadline 28 Nov 2025 | Viewed by 35 | Submission Open
Keywords: applied numerical analysis; computational mathematics; numerical methods for differential and integral equations; geometric numerical integration; data-driven dynamical systems; physics-informed learning; optimization techniques in mathematical modelling
(This special issue belongs to the Section Mathematical Analysis)
Applications of Bayesian Methods in Statistical Analysis
edited by Yanqing Zhang and Puying Zhao
submission deadline 30 Nov 2025 | 5 articles | Viewed by 5557 | 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 method
(This special issue belongs to the Section Mathematical Analysis)
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