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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Mathematical Optimization, Variational Inequalities and Equilibrium Problems: Theory and Applications
edited by and Miruna-Mihaela Beldiman
submission deadline 1 Jun 2026 | Viewed by 151 | Submission Open
Keywords: mathematical optimization; mathematical programming; operational research; equilibrium problems; variational inequalities; complementarity problems; game theory; fixed point methods
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Analysis and Applications IV submission deadline 30 Jun 2026 | 16 articles | Viewed by 24321 | 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)
Mathematical Cosmology submission deadline 30 Jun 2026 | 5 articles | Viewed by 11107 | Submission Open
(This special issue belongs to the Section Mathematical Physics)
Reliability and Risk of Complex Systems: Modelling, Analysis and Optimization, 2nd Edition submission deadline 30 Jun 2026 | 3 articles | Viewed by 2199 | Submission Open
Keywords: reliability modelling; optimization; risk analysis; statistical methods; degradation modelling; machine learning; uncertainty quantification; bayesian methods
Advances in Nonlinear Analysis and Numerical Modeling
edited by and Cosmin Dănuț Barbu
submission deadline 30 Jun 2026 | 3 articles | Viewed by 1353 | 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 Jun 2026 | Viewed by 217 | 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)
Advances in Discrete-Fractional Mathematics and Its Application submission deadline 30 Jun 2026 | Viewed by 150 | Submission Open
Keywords: graph theory; domination theory; spectral graph theory; discrete dynamical systems; fractional differential equations; fractal differential equations
(This special issue belongs to the Section Mathematical Analysis)
Combinatorics and Graph Theory with Applications in Computer Science submission deadline 30 Jun 2026 | Viewed by 146 | Submission Open
Keywords: graph theory; combinatorics; graph algorithms; combinatorial optimization; algorithm design; network analysis; computational complexity; discrete mathematics; theoretical computer science; cryptography
(This special issue belongs to the Section Mathematical Analysis)
Nonlinear Inverse Problems with Deep Generative Models
edited by
submission deadline 30 Jun 2026 | Viewed by 63 | Submission Open
Keywords: deep generative models; nonlinear inverse problems; diffusion models; Ill-posed problems; Bayesian reconstruction
Advanced Approximation Techniques and Their Applications, 3rd Edition
edited by
submission deadline 30 Jun 2026 | Viewed by 29 | Submission Open
Keywords: interpolation in approximation theory; approximation by polynomials spline; approximation; approximation by trigonometric polynomials inequalities in approximation; approximation by rational functions; Padé approximation; rate of convergence; inverse theorems in approximation; theory simultaneous approximation; approximation with constraints; approximation by special function classes; approximation by operators’ saturation in approximation theory; best constants in approximation theory; approximation by arbitrary linear expressions; approximation by arbitrary nonlinear expressions; uniqueness of best approximation; best approximants; approximate quadratures; numerical approximation; series expansions; asymptotic approximations; asymptotic expansions; abstract approximation theory; remainders in approximation; formulas least-squares; method continued fractions and their generalizations; convergence and divergence of infinite limiting processes; approximation of solutions of differential equations; approximation of solutions of functional– differential equations; approximation of solutions of integral equations
(This special issue belongs to the Section Mathematical Analysis)
Theory and Applications of Fuzzy Logic and Systems
edited by
submission deadline 30 Jun 2026 | Viewed by 20 | Submission Open
Keywords: fuzzy logic; type-1 fuzzy logic; proportional– integral– derivative (PID); optimization; parameter adaptation  
(This special issue belongs to the Section Logic)
Differential Equations and Related Topics, 3rd Edition submission deadline 30 Jun 2026 | Viewed by 17 | 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)
Algorithms, Computational Complexity Theory, Computational Geometry, and Categorical Methods Theory with Applications
edited by and
submission deadline 30 Jul 2026 | Viewed by 43 | Submission Open
Keywords: algorithms; optimization; categorical methods; computational complexity; computer science; data science; categorical logic; type theory
(This special issue belongs to the Section Mathematical Analysis)
Numerical Analysis and Applied Mathematics, 2nd Edition
edited by
submission deadline 30 Jul 2026 | Viewed by 33 | 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)
Applications in Harmonic Analysis
edited by and Guanghui Lu
submission deadline 31 Jul 2026 | 1 articles | Viewed by 1018 | Submission Open
Keywords: function space; operator; commutator; boundedness; compactness
Applied Nonlinear Dynamical Systems in Mathematical Physics, 2nd Edition
edited by
submission deadline 31 Jul 2026 | Viewed by 100 | 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)
Advances in Nonlinear Dynamics: Theory and Application submission deadline 31 Jul 2026 | Viewed by 80 | Submission Open
Keywords: mathematical modelling; complex systems; bifurcation; data-driven dynamics; chaotic systems
(This special issue belongs to the Section Mathematical Analysis)
Measure Theory and Related Topics submission deadline 31 Jul 2026 | Viewed by 54 | Submission Open
Keywords: aggregation functions; measure theory; capacities; game theory; geometric measure theory; fuzzy integrals; multicriteria decision making
New Advancements in Fuzzy Sets Theory, Generalizations and Applications submission deadline 31 Jul 2026 | Viewed by 52 | 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)
Mathematical Foundations of Fluid Mechanics
edited by Terry E. Moschandreou
submission deadline 31 Jul 2026 | Viewed by 11 | 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)
Advances in Fuzzy Logic with Applications
edited by Diego García-Zamora and Juan Martínez-Moreno
submission deadline 30 Aug 2026 | 4 articles | Viewed by 4262 | 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 Mathematical Methods in Optimal Control and Applications, 2nd Edition
edited by Cristiana J. Silva
submission deadline 30 Aug 2026 | Viewed by 257 | Submission Open
Keywords: optimal control problems; optimality conditions; mathematical methods; applications
(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 | Viewed by 181 | 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 | 1 articles | Viewed by 508 | Submission Open
Keywords: classical mathematics; applied mathematics; mathematical models; mathematical principles; computer science
Computational Statistics and Its Applications, 2nd Edition submission deadline 31 Oct 2026 | 4 articles | Viewed by 3225 | 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)
Research on Fuzzy Sets and Multi-Criteria Decision Making with Applications
edited by Venkateswarlu Nalluri and
submission deadline 25 Dec 2026 | Viewed by 65 | 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 Stochastic Differential Equations: Theory, Computation and Applications
edited by
submission deadline 31 Dec 2026 | Viewed by 169 | 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)
Advances in Fuzzy Mathematics
edited by and Nicolás Zumelzu
submission deadline 31 Dec 2026 | Viewed by 37 | 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)
Theory and Applications: Differential Geometry
edited by Xiaomin Chen
submission deadline 31 Dec 2026 | Viewed by 20 | 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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