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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 Analysis and Applications IV submission deadline 30 Jun 2026 | 16 articles | Viewed by 26734 | 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 12040 | Submission Open
(This special issue belongs to the Section Mathematical Physics)
Fractional Calculus and Applied Analysis, 2nd Edition
edited by
submission deadline 30 Jun 2026 | 4 articles | Viewed by 3726 | 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)
Reliability and Risk of Complex Systems: Modelling, Analysis and Optimization, 2nd Edition submission deadline 30 Jun 2026 | 4 articles | Viewed by 3040 | Submission Open
Keywords: reliability modelling; optimization; risk analysis; statistical methods; degradation modelling; machine learning; uncertainty quantification; bayesian methods
Theory of Functions and Applications, 3rd Edition
edited by
submission deadline 30 Jun 2026 | 3 articles | Viewed by 2523 | 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)
Mathematical Aspects of Black Holes in General Relativity and Beyond
edited by
submission deadline 30 Jun 2026 | 2 articles | Viewed by 2074 | 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)
Advances in Nonlinear Analysis and Numerical Modeling
edited by and Cosmin Dănuț Barbu
submission deadline 30 Jun 2026 | 3 articles | Viewed by 1938 | Submission Open
Keywords: modeling; simulation and optimization; nonlinear analysis; perturbations; parameter estimations
(This special issue belongs to the Section Mathematical Physics)
Modern Problems of Analysis, Optimization, Approximation and Their Applications
edited by
submission deadline 30 Jun 2026 | 3 articles | Viewed by 1379 | 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)
Advances in Dynamical Systems and Control, 2nd Edition submission deadline 30 Jun 2026 | 1 articles | Viewed by 920 | 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)
The Numerical Analysis and Its Application, 2nd Edition
edited by Janis Bajars
submission deadline 30 Jun 2026 | 1 articles | Viewed by 444 | 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)
Mathematical Foundations and Their Applications in Optical Sciences submission deadline 30 Jun 2026 | Viewed by 244 | 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)
Combinatorics and Graph Theory with Applications in Computer Science submission deadline 30 Jun 2026 | Viewed by 228 | 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)
Advances in Discrete-Fractional Mathematics and Its Application submission deadline 30 Jun 2026 | Viewed by 200 | 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)
Nonlinear Inverse Problems with Deep Generative Models
edited by
submission deadline 30 Jun 2026 | Viewed by 91 | 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 78 | 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 65 | 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 64 | 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)
Advances in Fractional-Order Difference and Differential Equations submission deadline 20 Jul 2026 | 1 articles | Viewed by 715 | 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)
Machine Learning Methods for Stochastic Differential Equations
edited by Qidi Peng
submission deadline 20 Jul 2026 | Viewed by 124 | Submission Open
Keywords: stochastic calculus; fractional calculus; Malliavin calculus; stochastic differential equations; numerical methods; machine learning algorithm; finance; engineering
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Methods in the Applied Sciences, 3rd Edition submission deadline 20 Jul 2026 | Viewed by 122 | 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)
Numerical Analysis and Applied Mathematics, 2nd Edition
edited by
submission deadline 30 Jul 2026 | Viewed by 191 | 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)
Algorithms, Computational Complexity Theory, Computational Geometry, and Categorical Methods Theory with Applications
edited by and
submission deadline 30 Jul 2026 | Viewed by 103 | 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)
Recent Stochastic and Statistical Approaches for Modeling Complex Systems and Dependent Variables
edited by Matieyendou Lamboni
submission deadline 31 Jul 2026 | 6 articles | Viewed by 4816 | Submission Open
Keywords: mathematical and statistical modeling; non-independent variables; stochastic approximations and simulations; functional basis; higher-dimensional problems
New Perspectives in Mathematical Statistics, 2nd Edition
edited by and
submission deadline 31 Jul 2026 | 2 articles | Viewed by 3427 | 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
Nonlinear Dynamical System and Its Applications
edited by
submission deadline 31 Jul 2026 | 6 articles | Viewed by 3284 | 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)
Nonlinear Fractional Differential Equations: Theory and Applications
edited by Jiawei He and Junfang Zhao
submission deadline 31 Jul 2026 | 3 articles | Viewed by 2507 | Submission Open
Keywords: fractional calculus and applications; fractional order nonlinear systems; partial differential equations; integrodifferential equations; critical point theory; control theory; continuous and discrete dynamical systems; initial and boundary value problems; stability theory
(This special issue belongs to the Section Mathematical Analysis)
Recent Developments in Statistical Research
edited by and Dong-Dong Pan
submission deadline 31 Jul 2026 | 1 articles | Viewed by 1672 | Submission Open
Keywords: statistical learning; machine learning; Bayesian statistics; biomedical statistics; statistical inference; expectation identity; Monte Carlo methods; parametric statistics; nonparametric statistics; artificial intelligence with applications
(This special issue belongs to the Section Mathematical Analysis)
Applications in Harmonic Analysis
edited by and Guanghui Lu
submission deadline 31 Jul 2026 | 2 articles | Viewed by 1419 | Submission Open
Keywords: function space; operator; commutator; boundedness; compactness
Recent Developments in Mathematical and Statistical Finance
edited by and Feipeng Zhang
submission deadline 31 Jul 2026 | 1 articles | Viewed by 465 | Submission Open
Keywords: asset pricing; algorithmic finance; regulatory compliance; risk management; computation; mathematical finance; mathematical and statistical modeling
(This special issue belongs to the Section Mathematical Analysis)
Advances in Nonlinear Dynamics: Theory and Application submission deadline 31 Jul 2026 | 1 articles | Viewed by 329 | 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 178 | 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 158 | 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)
Applied Nonlinear Dynamical Systems in Mathematical Physics, 2nd Edition
edited by
submission deadline 31 Jul 2026 | Viewed by 139 | 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)
Recent Developments in Applied Mathematics and Multi-Criteria Decision-Making Methods
edited by and Jan Vang
submission deadline 31 Jul 2026 | Viewed by 87 | 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)
Trends in Differential Geometry and Algebraic Topology, 2nd Edition
edited by
submission deadline 31 Jul 2026 | Viewed by 85 | 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 53 | 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)
Differential Geometry and Its Application, 4th Edition
edited by
submission deadline 20 Aug 2026 | Viewed by 65 | 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 5367 | 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 1073 | 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 314 | 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 108 | 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)
Differential Equations and Dynamical Systems: Theory and Applications, 2nd Edition
edited by
submission deadline 31 Aug 2026 | 3 articles | Viewed by 2127 | Submission Open
Keywords: dynamical systems; differential equations; difference equations; functional equations; integral equations; evolution families; semigroups; asymptotic behavior; stability; dichotomy; trichotomy; Lyapunov functions
(This special issue belongs to the Section Mathematical Analysis)
Applications in Functional Analysis
edited by Paolo Leonetti
submission deadline 31 Aug 2026 | 1 articles | Viewed by 751 | Submission Open
Keywords: sequence spaces; functional equations; geometry of banach spaces; ideal and filter convergence; partial orders; linear operators; summability; convexity; topological vector spaces; lineability
(This special issue belongs to the Section Mathematical Analysis)
Dynamic Systems and Differential Equations
edited by Vladimir A. Dobrushkin
submission deadline 31 Aug 2026 | 1 articles | Viewed by 506 | Submission Open
Keywords: ordinary differential equations; partial differential equations; delay differential equations; fractional differential equations; modeling with differential equations; functional equations; integral equations and integral transforms; numerical methods; ill-posed problems and their regularizations; dynamical systems on time scales; difference equations; chaos
(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 156 | 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 67 | 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 45 | 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)
Numerical Methods and Approximation Theory, Second Edition
edited by Marius Birou, and
submission deadline 31 Aug 2026 | Viewed by 33 | 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)
Multiphysics Approaches to Heat, Mass, and Fluid Flow in Industrial Engineering Using Applied Mathematics and Artificial Intelligence submission deadline 31 Aug 2026 | Viewed by 1 | Submission Open
Keywords: multiphysics modeling; heat transfer; mass transport; fluid flow; applied mathematics; artificial intelligence; machine learning; nonlinear systems; numerical methods; data-driven modeling
(This special issue belongs to the Section Mathematical Physics)
Recent Developments for Nonlinear PDEs, Symmetries and Integrabilities
edited by and
submission deadline 20 Sep 2026 | 1 articles | Viewed by 444 | 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
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