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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New Perspectives in Lie Algebras submission deadline 31 Aug 2025 | 2 articles | Viewed by 2288 | 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 Functional Analysis: Theoretical Results and Applications to Statistical Inference and Entropy
edited by Răzvan-Cornel Sfetcu and
submission deadline 31 Aug 2025 | Viewed by 443 | 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 10004 | 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 | 14 articles | Viewed by 20438 | 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 | 9 articles | Viewed by 16084 | 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 | 12 articles | Viewed by 12869 | 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 | 8 articles | Viewed by 9874 | 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 | 11 articles | Viewed by 8096 | 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 | 7 articles | Viewed by 5894 | 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 | 4 articles | Viewed by 5852 | 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 3831 | 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 3158 | 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 Nonlinear Analysis and Numerical Modeling
edited by and Cosmin Dănuț Barbu
submission deadline 30 Sep 2025 | 2 articles | Viewed by 909 | Submission Open
Keywords: modeling; simulation and optimization; nonlinear analysis; perturbations; parameter estimations
(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 | 2 articles | Viewed by 671 | 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)
Advances in Fuzzy Logic and Fuzzy Implications submission deadline 30 Sep 2025 | Viewed by 496 | 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
(This special issue belongs to the Section Logic)
Mathematical Foundations and Their Applications in Optical Sciences submission deadline 30 Sep 2025 | Viewed by 157 | 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)
New Trends in Discrete Probability and Statistics, 2nd Edition
edited by
submission deadline 30 Sep 2025 | Viewed by 110 | 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 | 5 articles | Viewed by 3871 | 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 | 8 articles | Viewed by 7250 | 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 | 5 articles | Viewed by 4417 | 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 | 6 articles | Viewed by 4212 | 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)
Advances in the Theory and Applications of Statistical Distributions submission deadline 30 Oct 2025 | 4 articles | Viewed by 3875 | Submission Open
Keywords: distribution theory; classical statistic; bayesian statistic; regression models; survival analysis; actuarial statistics
(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 | 4 articles | Viewed by 3372 | 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
Numerical Analysis and Applied Mathematics
edited by
submission deadline 31 Oct 2025 | 12 articles | Viewed by 14625 | Submission Open
Keywords: numerical algorithms; iterative methods; convergence analysis; numerical stability; computational efficiency; error analysis; operator equations; dynamical systems; real-world applications
(This special issue belongs to the Section Mathematical Analysis)
Computational Statistics and Its Applications, 2nd Edition submission deadline 31 Oct 2025 | 3 articles | Viewed by 1728 | 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 162 | 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 136 | 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 383 | 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 | 7 articles | Viewed by 10531 | 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 195 | 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 89 | 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)
Trends in Differential Geometry and Algebraic Topology
edited by
submission deadline 30 Nov 2025 | 10 articles | Viewed by 7267 | Submission Open
Keywords: differential geometry; algebraic topology; Riemannian geometry; symplectic geometry; symplectic topology; homotopy algebra; homotopy theory; homology theory; category theory; algebraic K-theory; topological K-theory; index theory; noncommutative geometry; string theory; quantum field theory
(This special issue belongs to the Section Geometry and Topology)
Applications of Bayesian Methods in Statistical Analysis
edited by Yanqing Zhang and Puying Zhao
submission deadline 30 Nov 2025 | 6 articles | Viewed by 7049 | 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)
Differential Geometry and Its Application, 3rd Edition
edited by
submission deadline 30 Nov 2025 | 10 articles | Viewed by 5837 | Submission Open
Keywords: contact manifolds; generalized Riemann spaces; statistical manifolds; kenmotsu manifolds; kaehler manifolds; golden manifolds; invariants; immersions; complex space forms; geodesic mappings
(This special issue belongs to the Section Geometry and Topology)
Advances in Statistical Simulation and Computing
edited by and Bernardo M. Lagos-Álvarez
submission deadline 30 Nov 2025 | 6 articles | Viewed by 5378 | Submission Open
Keywords: statistical simulation; computational statistics; algorithms and practical applications; theoretical advancements in statistical simulations; monte carlo method; simulation techniques; programing techniques (e.g.; modular; dynamic; functional; concurrent; dynamic; etc.); probabilistic programing; parallel programing applied to statistics; concurrent programing applied to statistics; distributed programing applied to statistics
Advances in Mathematics and Its Applications, 2nd Edition submission deadline 30 Nov 2025 | 3 articles | Viewed by 4484 | Submission Open
(This special issue belongs to the Section Mathematical Analysis)
Mathematical and Statistical Methods and Their Applications, 2nd Edition
edited by
submission deadline 30 Nov 2025 | 5 articles | Viewed by 3881 | Submission Open
Keywords: mathematical methods; mathematical statistics; applications; stochastic processes
(This special issue belongs to the Section Mathematical Analysis)
Fractional Calculus and Applied Analysis, 2nd Edition
edited by
submission deadline 30 Nov 2025 | 3 articles | Viewed by 1689 | Submission Open
Keywords: fractional calculus; multivariable fractional calculus; fractional integral and derivatives; fractional ordinary and partial differential equations; problems of mathematical physics; control theory; fractional stochastic processes
(This special issue belongs to the Section Mathematical Analysis)
A Century of Quantum Mechanics: Mathematical Foundations and Computational Applications
edited by
submission deadline 30 Nov 2025 | 1 articles | Viewed by 980 | Submission Open
Keywords: mathematical structures and formal foundations of quantum mechanics and computation; quantum algorithms; complexity; and intelligent systems; error correction; control; and simulation in quantum systems; quantum-inspired computational techniques and soft computing paradigms; applications of quantum technologies; historical and foundational perspectives
(This special issue belongs to the Section Mathematical Physics)
Mathematics in Fuzzy Logic System Modeling
edited by Gerardo Maximiliano Mendez, and María Aracelia Alcorta García
submission deadline 30 Nov 2025 | Viewed by 266 | Submission Open
Keywords: mathematical theory in hybrid learning in fuzzy logic systems; hybrid learning; neural networks; learning models; deep learning; big data; data mining; hybrid optimization; combinatorial optimization; bio-inspired optimization; evolutionary computing; heuristics; metaheuristics
(This special issue belongs to the Section Logic)
Advances in Classical and Applied Mathematics, 2nd Edition
edited by , Dana Piciu and Murat Tosun
submission deadline 30 Nov 2025 | Viewed by 151 | Submission Open
Keywords: classical mathematics; applied mathematics; mathematical models; mathematical principles; computer science
Modern Problems of Analysis, Optimization, Approximation and Their Applications
edited by
submission deadline 30 Nov 2025 | Viewed by 133 | Submission Open
Keywords: approximations and expansions; calculus of variations and optimal control; continued fractions and their generalizations; difference and functional equations; functional analysis; functions in complex variables; integral equations; integral equations; number theory; numerical analysis; operator theory; ordinary differential equations; partial differential equations; real functions; sequences; series; and summability; several complex variables and analytic spaces; special functions
(This special issue belongs to the Section Mathematical Analysis)
New Perspectives in Bifurcations Analysis of Dynamical Systems
edited by and Ping Yan
submission deadline 30 Nov 2025 | Viewed by 132 | Submission Open
Keywords: bifurcation analysis; delay and neutral differential equations; homoclinic and heteroclinic bifurcations; stability analysis
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Fuzzy Sets and Related Topics, 2nd Edition submission deadline 30 Nov 2025 | Viewed by 89 | Submission Open
Keywords: fuzzy sets; soft computing; artificial intelligence; fuzzy systems; data mining; data analysis; intuitionistic fuzzy sets; decision-making
(This special issue belongs to the Section Mathematical Analysis)
Financial Mathematics and Econophysics submission deadline 1 Dec 2025 | 3 articles | Viewed by 7214 | 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)
Theory of Functions and Applications, 3rd Edition
edited by
submission deadline 20 Dec 2025 | 2 articles | Viewed by 680 | Submission Open
Keywords: theory of functions of a real variable; approximation theory; asymptotic analysis; approximation of solutions of differential and integral equations; trigonometric polynomials; inequalities; and extremal problems; harmonic analysis; theory of functions of complex variables; analytic functions and their generalizations; entire and meromorphic functions; applications involving function theory of real and complex analyses
(This special issue belongs to the Section Mathematical Analysis)
Nonlocal Nonlinear Partial Differential Equations and Applications
edited by E J. Hurtado and Olimpio Hiroshi Miyagaki
submission deadline 20 Dec 2025 | Viewed by 423 | 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)
Advances in Dynamical Systems and Control, 2nd Edition submission deadline 20 Dec 2025 | Viewed by 416 | Submission Open
Keywords: bifurcation and chaos; complex systems; control; dynamical systems; fractional order systems; fuzzy differential equations; fuzzy systems; mathematical modeling
(This special issue belongs to the Section Mathematical Analysis)
Advances in Fractional-Order Difference and Differential Equations submission deadline 20 Dec 2025 | Viewed by 114 | 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)
Nonlinear Dynamical System and Its Applications
edited by
submission deadline 29 Dec 2025 | 1 articles | Viewed by 477 | 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)
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