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 Matrix Generalized Inverses and Applications
edited by
submission deadline 31 Dec 2025 | Viewed by 55 | Submission Open
Keywords: generalized inverses; matrix partial orders; operator and quaternion equations; matrix and tensor equations
(This special issue belongs to the Section Algebra and Number Theory)
Research on Functional Analysis and Its Applications
edited by
submission deadline 1 Jan 2026 | 7 articles | Viewed by 7082 | Submission Open
Keywords: quaternion analysis; mathematical physics; computational methods; partial differential equations; several complex analysis
(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 1 Jan 2026 | 1 articles | Viewed by 474 | Submission Open
Keywords: polynomial approximation; orthogonal polynomials; numerical integration; integral equations; differential equations; functional equations
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Aspects of Quantum Field Theory and Quantization
edited by
submission deadline 30 Jan 2026 | 3 articles | Viewed by 4186 | 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)
Advancements in Mathematical Physics: Quantum–Mathematics Interfaces
edited by
submission deadline 30 Jan 2026 | Viewed by 22 | Submission Open
Keywords: quantum mechanics; mathematical modelling; quantum field theory; interdisciplinary research; advanced quantum applications
(This special issue belongs to the Section Mathematical Physics)
New Perspectives in Applied Mathematics with Nonlinear Equations and Dynamical Systems
edited by
submission deadline 31 Jan 2026 | 11 articles | Viewed by 11699 | Submission Open
Keywords: iterative methods; numerical analysis; semi-local convergence; dynamical behavior; optimal-order iterative methods; higher-order methods
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Modeling, Simulations and Applications
edited by Jun Li and Liang Zhang
submission deadline 31 Jan 2026 | 5 articles | Viewed by 4459 | 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)
New Perspectives in Fuzzy Sets and Their Applications, 2nd Edition
edited by
submission deadline 31 Jan 2026 | 3 articles | Viewed by 2348 | Submission Open
Keywords: fuzzy sets; fuzzy logic; fuzzy optimization; fuzzy systems; extension principle; gradual sets
(This special issue belongs to the Section Logic)
Mathematical Physics in General Relativity Theory submission deadline 31 Jan 2026 | Viewed by 448 | 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)
Advances in Dynamical Systems: Modeling Time-Evolving Processes Under Uncertainty
edited by Claudio Arancibia-Ibarra
submission deadline 31 Jan 2026 | Viewed by 194 | Submission Open
Keywords: applied mathematics; dynamical systems; population dynamics; pattern formation; reaction-diffusion equations
(This special issue belongs to the Section Mathematical Analysis)
Stochastic and Statistical Analyses in Natural Sciences, Second Edition submission deadline 31 Jan 2026 | Viewed by 156 | 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)
Mathematical Foundations of Quantum Computing
edited by and Zhihua Guo
submission deadline 31 Jan 2026 | Viewed by 65 | Submission Open
Keywords: mathematical foundations of quantum computing; quantum algorithms; quantum error correction; quantum complexity theory; quantum networks
(This special issue belongs to the Section Mathematical Analysis)
Functional Data Analysis and Its Application
edited by and
submission deadline 31 Jan 2026 | Viewed by 63 | Submission Open
Keywords: functional data analysis; high-dimensional data; transfer learning; semi-supervised learning; machine learning; distributed inference; subsampling; functional regression analysis
(This special issue belongs to the Section Mathematical Analysis)
Numerical Algebra and Its Applications
edited by Wen Li and Qingsong Zou
submission deadline 31 Jan 2026 | Viewed by 36 | Submission Open
Keywords: structured matrix computations and optimizations; tensor analysis and computing; complementary problems and applications; quaternion matrix computations
(This special issue belongs to the Section Algebra and Number Theory)
Recent Developments in Graph Theory, 2nd Edition
edited by
submission deadline 31 Jan 2026 | Viewed by 27 | 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)
Recent Advances Involving Interfaces and Boundaries in Geometric Analysis and Applications
edited by David Caraballo
submission deadline 31 Jan 2026 | Viewed by 26 | Submission Open
Keywords: interface evolution problems; geometric optimization problems; energy minimizers; curvature; anisotropy; convexity; partitions; networks and multiple junctions; geometric analysis; geometric measure theory; calculus of variations; materials science; image processing
(This special issue belongs to the Section Geometry and Topology)
Current Research in Probability Theory and Distribution Theory
edited by
submission deadline 31 Jan 2026 | Viewed by 24 | Submission Open
Keywords: probability theory; statistical distributions; estimation methods; Bayesian inference; real-data modeling
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Functional Analysis and Operator Theory, 2nd Edition
edited by and
submission deadline 31 Jan 2026 | Viewed by 20 | 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)
Fractional Differential Equations and Dynamical Systems, 2nd Edition
edited by Nicholas Fewster-Young
submission deadline 31 Jan 2026 | Viewed by 7 | Submission Open
Keywords: fractional differential equations; dynamical systems; fractional calculus; fractional integrals
(This special issue belongs to the Section Mathematical Analysis)
Dynamics, Stability, Chaos, Control and Applications of Dynamical Systems
edited by , and Juan Francisco Navarro
submission deadline 15 Feb 2026 | Viewed by 103 | Submission Open
Keywords: differential equations/systems; difference equations/systems; dynamical systems; mathematical epidemiology; population dynamics; mathematical model; stability analysis; dynamic system; local and global dynamics; chaos and bifurcations; control theory; qualitative analysis; numerical simulations; sensitivity analysis; fractional calculus; fractional-order systems
(This special issue belongs to the Section Mathematical Analysis)
Advances in Financial Mathematics
edited by , , Xianming Sun, Fei Ma and
submission deadline 28 Feb 2026 | 6 articles | Viewed by 11047 | Submission Open
Keywords: asset pricing; quantitative finance and trading; portfolio and investment; stochastic modelling; financial markets; insurance and risk management; FinTech
Differential Equations and Its Application
edited by Yuting Ding, Feng Li and
submission deadline 28 Feb 2026 | 7 articles | Viewed by 7493 | Submission Open
Keywords: mathematical model; dynamic system; bifurcation; chaos; normal form
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Complex Analysis and Related Topics
edited by
submission deadline 28 Feb 2026 | 8 articles | Viewed by 6772 | Submission Open
Keywords: entire functions of several variables; analytic functions of several variables; growth estimates; applications of complex analysis; unit ball; unit polydisc; Reinhardt domain; geometric function theory; meromorphic functions; regular functions; Nevanlinna theory; Dirichlet series; slice holomorphic functions; entire curves; vector-valued entire functions
(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 28 Feb 2026 | 5 articles | Viewed by 5177 | 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 28 Feb 2026 | 4 articles | Viewed by 4921 | 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 28 Feb 2026 | 4 articles | Viewed by 4260 | 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)
Advances in Linear Algebra with Applications, 2nd Edition submission deadline 28 Feb 2026 | 5 articles | Viewed by 2318 | Submission Open
Keywords: matrix theory; tensor theory; numerical methods in linear algebra; structured matrices and tensors; direct and iterative solution methods; accuracy methods in linear algebra; applications of linear algebra
(This special issue belongs to the Section Algebra and Number Theory)
Recent Advances in Statistical Modeling and Simulations with Applications, 2nd Edition
edited by
submission deadline 28 Feb 2026 | 3 articles | Viewed by 1957 | 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)
Recent Advances in Fuzzy Theory Applications
edited by Rédina Berkachy and
submission deadline 28 Feb 2026 | 1 articles | Viewed by 1179 | Submission Open
Keywords: computational intelligence; fuzzy logic; fuzzy decision-making; fuzzy mathematics; fuzzy optimisation; fuzzy set theory; fuzzy statistics; fuzzy theory applications; uncertainty modelling; fuzzy systems and models
(This special issue belongs to the Section Mathematical Analysis)
Fixed-Point Theory and Its Related Topics, 5th Edition
edited by
submission deadline 28 Feb 2026 | 2 articles | Viewed by 1061 | Submission Open
Keywords: fixed point; best proximity point; equilibrium; Cauchy sequences; completeness; game theory
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Differential Equations and Related Topics submission deadline 28 Feb 2026 | 2 articles | Viewed by 781 | 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)
Numerical Analysis, Approximation Theory and Related Topics
edited by Rada Mutavdžić Đukić and
submission deadline 28 Feb 2026 | Viewed by 609 | Submission Open
Keywords: numerical analysis; numerical linear algebra; special functions; approximation theory; applied mathematics
(This special issue belongs to the Section Mathematical Analysis)
Numerical Methods and Modeling for Multiscale Problems and Applications
edited by Emanuele Macca and Sebastiano Boscarino
submission deadline 28 Feb 2026 | 1 articles | Viewed by 527 | Submission Open
Keywords: multiscale numerical methods; high-order schemes; coupled multiscale systems; implicit and semi-implicit approaches; computational applications in multiscale phenomena
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Mathematical Optimization and Related Topics
edited by Alberto Luque-Chang and Jorge Gálvez
submission deadline 28 Feb 2026 | Viewed by 436 | Submission Open
Keywords: optimization; artificial intelligence; evolutionary algorithms; machine learning; mathematical modelling
(This special issue belongs to the Section Mathematical Analysis)
Numerical Methods and Simulations for Partial Differential Equations
edited by Hyundong Kim
submission deadline 28 Feb 2026 | Viewed by 270 | 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)
Applied Mathematics and Numerical Analysis: Theory and Applications, 2nd Edition
edited by
submission deadline 28 Feb 2026 | Viewed by 25 | 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)
Recent Developments in Mathematical Fluid Dynamics
edited by
submission deadline 28 Feb 2026 | Viewed by 9 | Submission Open
Keywords: mathematical fluid dynamics; partial differential equations; multiphase flows; non-Newtonian fluids; numerical methods; axiomatic modeling; stability and control in fluid dynamics; multiscale simulations; high-performance computing; machine learning in fluid dynamics
(This special issue belongs to the Section Mathematical Physics)
Trends in Dynamical Systems and Applied Mathematics
edited by and Sandra Maria Santos Vinagre
submission deadline 1 Mar 2026 | 1 articles | Viewed by 412 | Submission Open
Keywords: mathematical modeling; dynamical systems; nonlinear systems; theory of singularities; fixed point theory; bifurcation theory; complex systems; iteration theory; topological dynamics; ergodic theory; symbolic dynamics; population dynamics; embedding problems; networks; synchronization; simulation; chaos; functional equations
(This special issue belongs to the Section Mathematical Analysis)
Mathematical, Optimization, and Computational Modeling in Machine Learning
edited by , , Rocío Ochoa-Montiel and
submission deadline 30 Mar 2026 | Viewed by 170 | Submission Open
Keywords: mathematical modeling; optimization; computational modeling
Advances in Geometric Function Theory and Related Topics
edited by , Grigore Stefan Salagean and
submission deadline 31 Mar 2026 | 10 articles | Viewed by 10248 | Submission Open
Keywords: univalent functions; bi-univalent functions; harmonic complex functions; differential operators; integral operator; fractional operator; coefficient estimates; differential subordination; differential superordination; quantum calculus; fuzzy differential subordinations and superordinations; several complex variables
(This special issue belongs to the Section Mathematical Analysis)
Advances in Mathematical Modeling and Related Topics
edited by En-Bing Lin
submission deadline 31 Mar 2026 | 7 articles | Viewed by 8549 | 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)
Recent Advances in Complex Analysis and Applications, 2nd Edition
edited by
submission deadline 31 Mar 2026 | 3 articles | Viewed by 2489 | 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 31 Mar 2026 | 3 articles | Viewed by 2136 | 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)
Optimization, Operations Research and Statistical Analysis submission deadline 31 Mar 2026 | 1 articles | Viewed by 1409 | Submission Open
Keywords: statistical analysis; hypothesis testing; big data analysis; time-series analysis; operations research; mathematical modeling; optimization
Orthogonal Polynomials, Special Functions and Applications, 3rd Edition submission deadline 31 Mar 2026 | Viewed by 51 | Submission Open
Keywords: orthogonal polynomials and functions; orthogonalization in numerical linear algebra; special functions; hypergeometric functions; Mittag– Leffler functions and generalizations; zeros; recurrence relations; inner products; numerical integration; quadrature and cubature formulas; numerical summation of series; numerical differentiation; integral equations; numerical methods for integral equations and transforms; approximation of functions; spline approximation; Padé approximation; weighted approximation; spectral; collocation; and related methods for BVP problems; generating functions; asymptotics; inequalities
(This special issue belongs to the Section Mathematical Analysis)
Advances in Generalized Hypergeometric Functions, Integral Transforms and Number Theory, 2nd Edition
edited by , and Arjun Kumar Rathie
submission deadline 31 Mar 2026 | Viewed by 22 | Submission Open
Keywords: generalized hypergeometric functions with one and more variables; transformation; summation; reduction formulas; applications in Ramanujan’ s work and in combinatorics; integral transforms; Laplace; Mellin; Hankel transforms; Fourier transforms (including Sine and Cosine); number theory with applications
Advances in Differential Geometry and Mathematical Physics, 2nd Edition
edited by
submission deadline 31 Mar 2026 | Viewed by 10 | 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)
Advances in Representation Theory of Algebras submission deadline 31 Mar 2026 | Viewed by 9 | Submission Open
Keywords: triangulated categories; derived categories; singular categories; representation of quiver; homological algebras; gorenstein homological algebras; quasi-hereditary algebras; AR theory; tilting theory
(This special issue belongs to the Section Algebra and Number Theory)
General Theory of Inverse Problems and Their Numerical Methods
edited by , Wei Wang and Yong Chen
submission deadline 31 Mar 2026 | Viewed by 8 | Submission Open
Keywords: inverse problems; ill-posed problems; regularization; optimization; numerical methods
(This special issue belongs to the Section Mathematical Analysis)
Delay Differential Equations: Theory, Control and Applications submission deadline 20 Apr 2026 | Viewed by 96 | Submission Open
Keywords: delay differential equations (DDEs); stability criteria; bifurcation analysis; numerical methods; predictive feedback control; adaptive control frameworks; machine learning-driven delay compensation; physiological regulatory networks; power grid dynamics with delayed feedback; epidemiological/financial DDE modeling
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