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 Advancements in Fuzzy Sets Theory, Generalizations and Applications submission deadline 31 Jul 2026 | Viewed by 145 | Submission Open
Keywords: fuzzy sets; generalizations of fuzzy sets; fuzzy logic; fuzzy numbers; fuzzy AHP and generalizations; all real-life applications
(This special issue belongs to the Section Logic)
Advances in Nonlinear Dynamics: Theory and Application submission deadline 31 Jul 2026 | 1 articles | Viewed by 127 | Submission Open
Keywords: mathematical modelling; complex systems; bifurcation; data-driven dynamics; chaotic systems
(This special issue belongs to the Section Mathematical Analysis)
Applied Nonlinear Dynamical Systems in Mathematical Physics, 2nd Edition
edited by
submission deadline 31 Jul 2026 | Viewed by 127 | Submission Open
Keywords: nonlinear equations of mathematical physics; nonlinear schrodinger equation; difference equations and functional equations in mathematical physics; (lie) group theoretic methods for the solution of differential and difference equations; lie-algebraic characterizations of integrability; tensor poisson structures; classical and quantum many-body problems; geometry and algebra of nonlinear equations; integrability in gauge and string theory; symmetries and invariants in mathematical physics; quasi-exactly solvable models in quantum mechanics; nonlinear stability of black hole space-times; complex fluids; nonlinear waves; nonlinear optics; numerical simulations in mathematical physics
(This special issue belongs to the Section Mathematical Physics)
Measure Theory and Related Topics submission deadline 31 Jul 2026 | Viewed by 121 | Submission Open
Keywords: aggregation functions; measure theory; capacities; game theory; geometric measure theory; fuzzy integrals; multicriteria decision making
Trends in Differential Geometry and Algebraic Topology, 2nd Edition
edited by
submission deadline 31 Jul 2026 | Viewed by 62 | 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)
Mathematical Foundations of Fluid Mechanics
edited by Terry E. Moschandreou
submission deadline 31 Jul 2026 | Viewed by 44 | Submission Open
Keywords: Navier– Stokes equation; potential; fluid mechanics; rotation; vorticity; inverse problems; fluid and aerodynamics; existence theory; blowup; viscosity; inviscid flow
(This special issue belongs to the Section Mathematical Physics)
Recent Developments in Applied Mathematics and Multi-Criteria Decision-Making Methods
edited by and Jan Vang
submission deadline 31 Jul 2026 | Viewed by 40 | Submission Open
Keywords: multi-criteria decision-making (MCDM); applied mathematics; optimization models; decision analysis; sustainability assessment; life cycle assessment (LCA); energy systems; supply chain and logistics; uncertainty modelling; mathematical modelling
(This special issue belongs to the Section Logic)
Differential Geometry and Its Application, 4th Edition
edited by
submission deadline 20 Aug 2026 | Viewed by 47 | 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 Fuzzy Logic with Applications
edited by Diego García-Zamora and Juan Martínez-Moreno
submission deadline 30 Aug 2026 | 5 articles | Viewed by 5201 | Submission Open
Keywords: decision-making; fuzzy logic; aggregation operators; uncertainty modeling; approximate reasoning; fuzzy metric spaces
(This special issue belongs to the Section Logic)
Recent Advances in Fuzzy Sets and Related Topics, 2nd Edition submission deadline 30 Aug 2026 | 2 articles | Viewed by 995 | 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)
Advances in Mathematical Methods in Optimal Control and Applications, 2nd Edition
edited by Cristiana J. Silva
submission deadline 30 Aug 2026 | Viewed by 285 | Submission Open
Keywords: optimal control problems; optimality conditions; mathematical methods; applications
(This special issue belongs to the Section Mathematical Analysis)
Advances and Applications in Mathematical Modeling and Optimization
edited by Glenn Ledder
submission deadline 30 Aug 2026 | Viewed by 82 | Submission Open
Keywords: mathematical optimization; numerical optimization; continuous optimization; discrete optimization; mixed optimization; nonlinear optimization; calculus of variations; optimal control
(This special issue belongs to the Section Mathematical Analysis)
Nonlinear Stability and Advanced Numerical Methods in Fluid and Hamiltonian Systems submission deadline 31 Aug 2026 | Viewed by 135 | Submission Open
Keywords: nonlinear stability; fluid dynamics; numerical methods; Hamiltonian systems; structure-preserving schemes; multi-scale modeling; long-time dynamics; complex behavior
(This special issue belongs to the Section Mathematical Physics)
Recent Advances in Stochastic Analysis and Large Deviation Theory submission deadline 31 Aug 2026 | Viewed by 45 | Submission Open
Keywords: stochastic analysis; large deviation theory; stochastic partial differential equations; stochastic ordinary differential equations; mathematical finance; moderate deviation theory; ergodicity; stochastic dynamical systems; malliavin calculus; probability theory and its applications
(This special issue belongs to the Section Mathematical Analysis)
Infinite Dynamical Systems and Differential Equations, Second Edition
edited by
submission deadline 31 Aug 2026 | Viewed by 31 | 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)
Recent Developments for Nonlinear PDEs, Symmetries and Integrabilities
edited by and
submission deadline 20 Sep 2026 | 1 articles | Viewed by 400 | Submission Open
Keywords: nonlinear PDEs; symmetries; integrability; well-posedness; variational problems; stability analysis; numerical methods; deep learning method; exact solution; direct ansatz method; Hirota method; Darboux transformation; inverse scattering method; Riemann-Hilbert method; stochastic partial differential equations; fractional partial differential equations; conservation laws; Lax pair; solitons; rogue waves; breathers; Painlevé analysis
Advances in Classical and Applied Mathematics, 2nd Edition
edited by , Dana Piciu and Murat Tosun
submission deadline 30 Sep 2026 | 3 articles | Viewed by 789 | Submission Open
Keywords: classical mathematics; applied mathematics; mathematical models; mathematical principles; computer science
Recent Advances in Mathematical Optimization and Its Applications submission deadline 30 Sep 2026 | Viewed by 22 | Submission Open
Keywords: optimization; algorithms; methods; application; machine learning; signal processing
(This special issue belongs to the Section Mathematical Analysis)
Computational Statistics and Its Applications, 2nd Edition submission deadline 31 Oct 2026 | 5 articles | Viewed by 4406 | 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)
Graph Invariants and Their Applications
edited by
submission deadline 31 Oct 2026 | 2 articles | Viewed by 1858 | Submission Open
Keywords: graph invariants; topological indices; graph spectrum and energy; extremal graph theory; graph coloring; QSPR/QSAR analysis; combinatorics; discrete mathematics
(This special issue belongs to the Section Algebra and Number Theory)
Advances in Financial Mathematics and Stochastic Processes
edited by
submission deadline 31 Oct 2026 | 1 articles | Viewed by 582 | Submission Open
Keywords: derivative pricing; mathematical models; financial mathematics; stochastic volatility models; jump-diffusion models; credit risk; machine learning; portfolio optimization; time series; computational finance
Theory and Applications in Functional Analysis
edited by
submission deadline 31 Oct 2026 | Viewed by 103 | Submission Open
Keywords: functional analysis; fixed point theory; fractional integro-differential equations and inclusions; linear and nonlinear problems; optimization theory; applications of functional analysis; variational inequalities; complementarity problems; variational analysis; numerical optimization
(This special issue belongs to the Section Mathematical Analysis)
Advances in Kinetic Theory and Its Application
edited by and Tianbai Xiao
submission deadline 31 Oct 2026 | Viewed by 42 | Submission Open
Keywords: kinetic theory; non-equilibrium dynamics; Boltzmann equation; multiscale modeling; computational methods
(This special issue belongs to the Section Mathematical Physics)
A Century of Quantum Mechanics: Mathematical Foundations and Computational Applications
edited by
submission deadline 30 Nov 2026 | 3 articles | Viewed by 2698 | 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)
Probability Theory and Stochastic Processes: Theory and Applications submission deadline 30 Nov 2026 | 3 articles | Viewed by 1693 | Submission Open
Keywords: probability theory; stochastic processes; random walks; Gauss– Markov processes; Markov chains; stochastic modeling; ergodic theory; numerical simulations; machine learning; neuronal modeling
Financial Mathematics and Econophysics submission deadline 1 Dec 2026 | 4 articles | Viewed by 11436 | 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 | Viewed by 149 | 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)
Fixed-Point and Iterative Methods for Nonlinear Operators: Existence, Convergence, Stability, and Applications
edited by Wojciech M. Kozlowski
submission deadline 30 Dec 2026 | Viewed by 89 | 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)
Advances in Fuzzy Mathematics
edited by and Nicolás Zumelzu
submission deadline 31 Dec 2026 | 1 articles | Viewed by 275 | 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 Stochastic Differential Equations: Theory, Computation and Applications
edited by
submission deadline 31 Dec 2026 | Viewed by 219 | 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)
Theory and Applications: Differential Geometry
edited by Xiaomin Chen
submission deadline 31 Dec 2026 | Viewed by 105 | 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)
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