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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Recent Advances in Fuzzy Sets and Related Topics submission deadline 31 Mar 2025 | 8 articles | Viewed by 10192 | Submission Open
Keywords: fuzzy set; soft computing; artificial intelligence; fuzzy systems; data mining; data analysis; intuitionistic fuzzy sets; decision making
(This special issue belongs to the Section Mathematical Analysis)
Advances in Combinatorial Optimization and Discrete Mathematics with Applications submission deadline 31 Mar 2025 | 7 articles | Viewed by 8621 | Submission Open
Keywords: combinatorial optimization problems; combinatorics; mathematical programming; real-life applications; job shop scheduling; path planning; bin packing; resource allocation
(This special issue belongs to the Section Mathematical Analysis)
Mathematics, Computer Graphics and Computational Visualizations
edited by Vesna Velickovic and
submission deadline 31 Mar 2025 | 3 articles | Viewed by 4621 | Submission Open
Keywords: visualization of abstract and complex concepts; computational methods; computational visualization; computer graphics; computer-aided design; computer-aided geometric design; curve; surface; and solid modeling; data visualization; geometric modeling; graphical representation; information visualization; mathematics in computer graphics; scientific visualization; simulation; visualization methods
Mathematical Modelling of Fluid Dynamics
edited by
submission deadline 31 Mar 2025 | 1 articles | Viewed by 1109 | Submission Open
Keywords: numerical methods; multiphase flows; combustion; high-speed compressible flows; incompressible flows; fluid– structure interactions; machine learning; aerospace engineering; chemical engineering
(This special issue belongs to the Section Mathematical Physics)
Challenges and New Paradigms for Decision Support Systems
edited by Alberto Turón
submission deadline 31 Mar 2025 | Viewed by 613 | Submission Open
Keywords: decision support systems; artificial intelligence; deep learning; policy making; human– computer interaction
Advances in Mathematics and Its Applications, 2nd Edition submission deadline 20 Apr 2025 | 2 articles | Viewed by 3415 | Submission Open
(This special issue belongs to the Section Mathematical Analysis)
Mathematical and Statistical Methods and Their Applications, 2nd Edition
edited by
submission deadline 23 Apr 2025 | 2 articles | Viewed by 1084 | Submission Open
Keywords: mathematical methods; mathematical statistics; applications; stochastic processes
(This special issue belongs to the Section Mathematical Analysis)
Recent Developments in Fuzzy Control Systems and Their Applications
edited by , Kaviarasan Boomipalagan and S. A. Karthick
submission deadline 28 Apr 2025 | 5 articles | Viewed by 7345 | Submission Open
Keywords: fuzzy modeling and its applications; takagi– Sugeno structures; interval type-2 fuzzy control systems; membership-function-dependent analysis; optimization-based fuzzy algorithm; stability/performance/robustness analysis of fuzzy control systems; industrial applications of fuzzy control systems
(This special issue belongs to the Section Logic)
Applications of Bayesian Methods in Statistical Analysis
edited by Yanqing Zhang and Puying Zhao
submission deadline 28 Apr 2025 | 5 articles | Viewed by 5066 | 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)
Mathematical Aspects of Quantum Field Theory and Quantization
edited by
submission deadline 28 Apr 2025 | 3 articles | Viewed by 3520 | Submission Open
Keywords: quantization; Schrodinger; Klein– Gordon; Dirac; quantum field theory; special functions; perturbations; WKB approximations; quantum gravity
(This special issue belongs to the Section Hilbert’s Sixth Problem)
Mathematical Physics in General Relativity Theory submission deadline 28 Apr 2025 | Viewed by 343 | Submission Open
Keywords: general relativity; mathematical physics; differential geometry; curvature and topology; cosmological models; quantum gravity; numerical relativity; einstein's equations; spacetime manifolds; metric tensor; initial conditions; cauchy surfaces; hyperbolic equations; quantum gravity; cosmological singularities; well posedness; spacetime dynamics; mathematical foundations
(This special issue belongs to the Section Hilbert’s Sixth Problem)
New Perspectives in Mathematical Statistics
edited by and
submission deadline 30 Apr 2025 | 8 articles | Viewed by 8929 | Submission Open
Keywords: Bayesian statistics; statistical analysis for high-dimensional data; nonparametric statistics; distribution-free methods; machine learning; robust statistics; spatial statistics; time series analysis; statistical inference; computational statistics
Advances in Convex Geometry and Analysis
edited by , , Jingbo Dou and Wenxue Xu
submission deadline 30 Apr 2025 | 6 articles | Viewed by 6419 | Submission Open
Keywords: Borsuk’ s problem; Hadwiger’ s covering problem; complete sets; geometric inequality; Brunn-Minkowski inequality; Minkowski problem; integral inequality; Weighted Lp spaces; holder’ s inequality; Fourier coefficients
(This special issue belongs to the Section Geometry and Topology)
Computational and Mathematical Methods in Science and Engineering, 2nd Edition submission deadline 30 Apr 2025 | 3 articles | Viewed by 5059 | Submission Open
(This special issue belongs to the Section Mathematical Analysis)
Advances in Partial Differential Equations: Qualitative Analysis and Numerical Methods
edited by and Jun Zhou
submission deadline 30 Apr 2025 | 4 articles | Viewed by 4408 | Submission Open
Keywords: partial differential equations; stochastic; blow-up; well-posedness; dynamics; numerical analysis; long-time behavior; probability
(This special issue belongs to the Section Mathematical Analysis)
Fractional Calculus and Its Applications: Historical and Recent Developments
edited by and Cristiana J. Silva
submission deadline 30 Apr 2025 | 4 articles | Viewed by 4180 | Submission Open
Keywords: fractional integrals and derivatives; history of fractional calculus; fractional ordinary and partial differential equations; properties of solutions; mathematical modelling involving fractional ODEs and PDEs calculus; numerical methods; applications
(This special issue belongs to the Section Mathematical Analysis)
Research on Stochastic Analysis and Applied Statistics
edited by and
submission deadline 30 Apr 2025 | 4 articles | Viewed by 4093 | Submission Open
Keywords: statistical modelling; applied probability; data analysis; computational statistics; stochastic processes; machine learning; deep learning
(This special issue belongs to the Section Mathematical Analysis)
Stochastic Modeling and Optimization Techniques
edited by , and Hranislav Milosevic
submission deadline 30 Apr 2025 | 4 articles | Viewed by 3368 | 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)
Entanglement in Quantum Field Theory and Its Applications
edited by , Federico Escudero and
submission deadline 30 Apr 2025 | 1 articles | Viewed by 2552 | Submission Open
Keywords: entanglement in quantum field theory; quantum correlations in 2D materials; boundary formalism; entanglement harvesting; information holography; topological quantum field theory
(This special issue belongs to the Section Hilbert’s Sixth Problem)
New Perspectives in Control Theory
edited by , Ángeles Hoyo and
submission deadline 30 Apr 2025 | 1 articles | Viewed by 1333 | Submission Open
Keywords: advanced control algorithms; process control; adaptive and learning control; robust control methodologies; PID control; nonlinear control systems; intelligent control systems; model predictive control; cyber– physical systems; engineering technologies in control engineering
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Statistical Modeling and Simulations with Applications, 2nd Edition
edited by
submission deadline 30 Apr 2025 | 1 articles | Viewed by 1102 | Submission Open
Keywords: big data; machine learning; neural networks; image analysis; medical imaging; Bayesian statistics; applied statistics
(This special issue belongs to the Section Mathematical Analysis)
Computational Algebra, Coding Theory and Cryptography: Theory and Applications, 2nd Edition
edited by
submission deadline 30 Apr 2025 | 2 articles | Viewed by 690 | Submission Open
Keywords: algebraic structures; coding theory; cryptography; linear codes; quantum codes; polycyclic codes; self-dual codes; Hermitian codes; quasicyclic codes; codes over rings
Fractional Differential Equations and Dynamical Systems
edited by Nicholas Fewster-Young and
submission deadline 30 Apr 2025 | Viewed by 459 | Submission Open
Keywords: fractional differential equations; dynamical systems; fractional calculus; fractional integrals
Convex and Nonconvex Calculus of Variations and Optimal Control
edited by António Ornelas and Clara Carlota
submission deadline 30 Apr 2025 | Viewed by 147 | Submission Open
Keywords: calculus of variations; optimal control; nonconvex lagrangians; pointwise constraints; necessary conditions
Advances in Fuzzy Logic and Computational Intelligence submission deadline 10 May 2025 | 3 articles | Viewed by 5307 | Submission Open
Keywords: fuzzy logic; fuzzy systems; interval mathematics; lattice fuzzy logic; computational intelligence systems; logic; interval; lattice; systems
(This special issue belongs to the Section Logic)
Emerging Applications and Theoretical Advances in Variational Methods, Functional Analysis, and Mathematical Optimization
edited by José Alberto Rodrigues
submission deadline 20 May 2025 | Viewed by 369 | Submission Open
Keywords: variational calculus; fractional calculus; optimal transport; stochastic systems; machine learning applications; multiscale modeling
(This special issue belongs to the Section Mathematical Analysis)
Fractional Order Functional Differential Equations and Fixed Point Theory
edited by and
submission deadline 20 May 2025 | Viewed by 208 | Submission Open
Keywords: delay fractional differential and difference equations; impulsive fractional differential and difference equations; neutral fractional differential and difference equations; applying fixed point theory to solve fractional differential and difference equations; solvability and stability; numerical solutions and simulations of fractional order functional differential equations; the practical application of fractional order functional differential equations
(This special issue belongs to the Section Mathematical Analysis)
Advances in Dynamical Systems: Modeling Time-Evolving Processes Under Uncertainty
edited by Claudio Arancibia-Ibarra
submission deadline 25 May 2025 | Viewed by 91 | Submission Open
Keywords: applied mathematics; dynamical systems; population dynamics; pattern formation; reaction-diffusion equations
(This special issue belongs to the Section Mathematical Analysis)
Recent Developments in Graph Theory
edited by
submission deadline 27 May 2025 | 7 articles | Viewed by 5668 | Submission Open
Keywords: chemical graph theory; topological indices; cut method; applied mathematics; domination; rainbow domination; domination games; independence domination; Grundy domination
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Modeling, Simulations and Applications
edited by Jun Li and Liang Zhang
submission deadline 28 May 2025 | 4 articles | Viewed by 3099 | Submission Open
Keywords: mathematical modeling; simulation; applications; numerical methods; computational algorithms; mathematical applications; interdisciplinary collaboration; mathematical software development; engineering applications; scientific research; biomedical applications; environmental science; physics applications; social sciences; economics applications
(This special issue belongs to the Section Mathematical Analysis)
Fractional Calculus and Applied Analysis, 2nd Edition
edited by
submission deadline 28 May 2025 | 2 articles | Viewed by 476 | 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)
Stochastic and Statistical Analyses in Natural Sciences, Second Edition submission deadline 28 May 2025 | Viewed by 96 | Submission Open
Keywords: stochastic processes; time-series analysis; conditional expectation; filtration; statistical methods in the natural sciences; parameter estimation techniques; cross-sectional studies; population and sample theory
(This special issue belongs to the Section Mathematical Analysis)
Theoretical Advances in Fractional Calculus
edited by Min-Jie Luo and
submission deadline 29 May 2025 | Viewed by 418 | Submission Open
Keywords: fractional calculus; generalized fractional calculus; fractional differential equations; fractional integral equations; special functions in one or several variables; special functions in matrix arguments; asymptotic expansions; orthogonal expansions; q-series  ; open problems
(This special issue belongs to the Section Mathematical Analysis)
Applied Mathematics and Numerical Analysis: Theory and Applications
edited by
submission deadline 30 May 2025 | 6 articles | Viewed by 5680 | 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)
Advances in Parameter-Tuning Techniques for Metaheuristic Algorithms
edited by Vasileios A. Tatsis
submission deadline 30 May 2025 | 1 articles | Viewed by 2496 | Submission Open
Keywords: computational optimization; metaheuristic algorithms; parameter tuning; swarm intelligence; real-world applications
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Complex Analysis and Applications, 2nd Edition
edited by
submission deadline 30 May 2025 | 2 articles | Viewed by 1876 | Submission Open
Keywords: geometric function theory; harmonic maps; Hardy spaces; quasiconformal maps; univalent functions; harmonic analysis; PDE
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Function Spaces and Their Applications
edited by and Suzana Aleksić
submission deadline 30 May 2025 | 2 articles | Viewed by 1440 | Submission Open
Keywords: function spaces; spaces of ultradifferentiable functions and spaces of distributions and ultradistributions; time– frequency analysis; frame and wavelet theory; pseudodifferential and Fourier integral operators; microlocal analysis and wave front sets
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Differential Equations and Related Topics submission deadline 30 May 2025 | Viewed by 244 | 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 Differential Geometry and Mathematical Physics
edited by
submission deadline 31 May 2025 | 10 articles | Viewed by 11724 | 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)
Axioms and Methods for Handling Differential Equations and Inverse Problems
edited by Zoltán Vizvári, Mihály Klincsik, Robert Kersner, , Zoltán Sári and
submission deadline 31 May 2025 | 4 articles | Viewed by 6272 | Submission Open
Keywords: symbolic mathematical methods; ordinary differential equations; partial differential equations; singular differential equations; non-linear differential equation; inverse problems
(This special issue belongs to the Section Mathematical Analysis)
Advances in Mathematical Modeling and Related Topics
edited by En-Bing Lin
submission deadline 31 May 2025 | 6 articles | Viewed by 5227 | Submission Open
Keywords: mathematical modeling; numerical methods for PDEs; AI and machine learning models; wavelet analysis in time-series forecasting; mathematical models of tumor growth
(This special issue belongs to the Section Mathematical Analysis)
Topics in General Topology and Applications submission deadline 31 May 2025 | 4 articles | Viewed by 3922 | Submission Open
Keywords: cardinal invariants; function spaces; hyperspaces; topological algebras; functors in general topology; dimension theory; selection principles; game theory in topology; fuzzy topology; soft topology and its applications; digital topology; combinatorial topology; categorical methods in topology; uniform spaces; fixed point theory; topological methods in analysis
(This special issue belongs to the Section Geometry and Topology)
New Perspectives in Fuzzy Sets and Their Applications, 2nd Edition
edited by
submission deadline 31 May 2025 | 3 articles | Viewed by 1648 | Submission Open
Keywords: fuzzy sets; fuzzy logic; fuzzy optimization; fuzzy systems; extension principle; gradual sets
(This special issue belongs to the Section Logic)
Optimization, Operations Research and Statistical Analysis submission deadline 31 May 2025 | 1 articles | Viewed by 1161 | Submission Open
Keywords: statistical analysis; hypothesis testing; big data analysis; time-series analysis; operations research; mathematical modeling; optimization
Numerical Methods and Simulations for Partial Differential Equations
edited by Hyundong Kim
submission deadline 31 May 2025 | Viewed by 222 | 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)
Recent Trends in Numerical Methods for Functional Equations
edited by , Federico Nudo and Donatella Occorsio
submission deadline 31 May 2025 | Viewed by 128 | Submission Open
Keywords: polynomial approximation; orthogonal polynomials; numerical integration; integral equations; differential equations; functional equations
(This special issue belongs to the Section Mathematical Analysis)
Methods and Applications of Advanced Statistical Analysis, 2nd Edition
edited by
submission deadline 26 Jun 2025 | 4 articles | Viewed by 3265 | Submission Open
Keywords: application of statistics; causal analysis; classification and clustering; data analysis; linear and nonlinear models; mixed modeling; nonparametric statistics; regression and analysis of variance; robust statistics; time series
(This special issue belongs to the Section Mathematical Analysis)
Elliptic Curves, Modular Forms, L-Functions and Applications
edited by Dongxi Ye and
submission deadline 27 Jun 2025 | 1 articles | Viewed by 627 | Submission Open
Keywords: combinatorics; elliptic curves; L-functions; modular forms; number theory
(This special issue belongs to the Section Algebra and Number Theory)
Recent Advances in Functional Analysis and Operator Theory
edited by and
submission deadline 30 Jun 2025 | 10 articles | Viewed by 12135 | Submission Open
Keywords: norm of operators; bounded operators; compact operators; commutants of operators; special operators (Hausdorff; Hilbert; Cesaro; backward/forward difference operator; weighted mean; Norlund; L-matrices; etc.); factorization of operators; composition of operators; spectrum of operators; sequence spaces; summability
(This special issue belongs to the Section Mathematical Analysis)
Numerical Analysis and Applied Mathematics
edited by
submission deadline 30 Jun 2025 | 9 articles | Viewed by 10850 | 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)
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