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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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New Perspective on Change-Point Analysis and Statistical Inference
edited by Suthakaran Ratnasingam,
Chao Gu
, Ramadha Piyadi Gamage and
Tonghui Wang
submission deadline 31 Aug 2026 | Viewed by 206 | Submission Open
Keywords: change-point detection; multiple change-points; sequential and online monitoring; high-dimensional inference; nonparametric methods; robust or distribution-free procedures; selective or post-selection inference; networks and functional data; uncertainty quantification; scalable algorithms
(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
edited by
Mohammad Afikuzzaman
submission deadline 31 Aug 2026 | Viewed by 193 | 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
Liming Ling
and
Xueke Pu
submission deadline 20 Sep 2026 | 2 articles | Viewed by 1402 | 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
Modern Trends and Application of Decision-Making Theory, Stability and Control, 2nd Edition
edited by
Valentyn Sobchuk
and Oleksiy V. Kapustyan
submission deadline 20 Sep 2026 | 3 articles | Viewed by 1257 | Submission Open
Keywords: nonlinear system; stability; perturbation; impulsive system; approximation; numerical methods; control; operators; approximation methods; approximative properties; decision-making theory; machine learning; neural networks; large language models; computer use agents; GUI automation
(This special issue belongs to the Section Mathematical Analysis)
Functional Data Analysis and Its Application
edited by
Jianjun Zhou
and
Jong-Min Kim
submission deadline 29 Sep 2026 | 3 articles | Viewed by 3765 | 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)
Fractional Differential Equations and Dynamical Systems, 2nd Edition
edited by Nicholas Fewster-Young
submission deadline 29 Sep 2026 | 1 articles | Viewed by 889 | Submission Open
Keywords: fractional differential equations; dynamical systems; fractional calculus; fractional integrals
(This special issue belongs to the Section Mathematical Analysis)
Current Research in Probability Theory and Distribution Theory
edited by
Faton Merovci
submission deadline 29 Sep 2026 | Viewed by 586 | Submission Open
Keywords: probability theory; statistical distributions; estimation methods; Bayesian inference; real-data modeling
(This special issue belongs to the Section Mathematical Analysis)
Advances in Classical and Applied Mathematics, 2nd Edition
edited by
Cristina Flaut
, Dana Piciu and Murat Tosun
submission deadline 30 Sep 2026 | 9 articles | Viewed by 7111 | Submission Open
Keywords: classical mathematics; applied mathematics; mathematical models; mathematical principles; computer science
Recent Advances in Special Functions and Applications, 2nd Edition
edited by
Hyun Soo Chung
submission deadline 30 Sep 2026 | 6 articles | Viewed by 4227 | Submission Open
Keywords: integral transform in function space; Fourier– Feynman transform; integral transform for physical models; high-dimensional transform with applications; dimension reduction of high-dimensional transform; transform and differential equations
(This special issue belongs to the Section Mathematical Analysis)
Stochastic and Statistical Analyses in Natural Sciences, Second Edition
edited by
Dragana Valjarević
,
Aleksandar Dj Valjarević
and
Vladica Stojanović
submission deadline 30 Sep 2026 | 2 articles | Viewed by 3330 | 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
Kan He
and Zhihua Guo
submission deadline 30 Sep 2026 | 1 articles | Viewed by 1688 | 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)
Mathematical Physics in General Relativity Theory
edited by
Orchidea Maria Lecian
submission deadline 30 Sep 2026 | 1 articles | Viewed by 1359 | 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)
Matrices and Tensors over General Algebras with Applications
edited by
Yang Zhang
,
Xin Liu
and
Pattrawut Chansangiam
submission deadline 30 Sep 2026 | Viewed by 1044 | Submission Open
Keywords: matrices; tensors; eigenvalues; MP inverses; quaternions
(This special issue belongs to the Section Algebra and Number Theory)
Principles of Variational Methods in Mathematical Physics, 2nd Edition
edited by
Irina Meghea
submission deadline 30 Sep 2026 | 1 articles | Viewed by 630 | Submission Open
Keywords: Ekeland variational principle; perturbed variational principle; minimax-type theorems; mountain pass type theorems; saddle point type theorems; critical points; Dirichlet problem; von Neumann problem; fractional calculus; numerical methods; real-world modeling
(This special issue belongs to the Section Mathematical Physics)
Research on Mathematical Modeling and Dynamic Systems
edited by
Adel Mehrpooya
submission deadline 30 Sep 2026 | 1 articles | Viewed by 572 | Submission Open
Keywords: mathematical modeling; dynamic systems; nonlinear dynamics; chaos theory; stability analysis; bifurcation; entropy; uncertainty; stochastic processes; fractional dynamics; delay differential equations; control theory; optimization; complex systems; network dynamics; time delay model; multiscale modeling; data-driven modeling; computational simulation; system identification; time series analysis; information theory; predictive modeling; hybrid systems; sensitivity analysis; dynamical behavior; model validation; deterministic systems; randomness; feedback control; applied mathematics
Recent Developments in Graph Theory, 2nd Edition
edited by
Simon Brezovnik
submission deadline 30 Sep 2026 | 1 articles | Viewed by 571 | 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)
Advances in Dynamical Systems: Modeling Time-Evolving Processes Under Uncertainty
edited by Claudio Arancibia-Ibarra
submission deadline 30 Sep 2026 | Viewed by 461 | Submission Open
Keywords: applied mathematics; dynamical systems; population dynamics; pattern formation; reaction-diffusion equations
(This special issue belongs to the Section Mathematical Analysis)
Advancements in Mathematical Physics: Quantum–Mathematics Interfaces
edited by
Mostafa Behtouei
submission deadline 30 Sep 2026 | Viewed by 321 | Submission Open
Keywords: quantum mechanics; mathematical modelling; quantum field theory; interdisciplinary research; advanced quantum applications
(This special issue belongs to the Section Mathematical Physics)
Recent Advances in Mathematical Optimization and Its Applications
edited by
Cong Sun
and
Gradimir V. Milovanović
submission deadline 30 Sep 2026 | Viewed by 305 | Submission Open
Keywords: optimization; algorithms; methods; application; machine learning; signal processing
(This special issue belongs to the Section Mathematical Analysis)
Numerical Algebra and Its Applications
edited by Wen Li and Qingsong Zou
submission deadline 30 Sep 2026 | Viewed by 294 | 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)
Analytical Mechanics of Fluids and Continua: A Mathematical Physics Perspective
edited by Gonçalo Dias and Bruno Pereira
submission deadline 30 Sep 2026 | Viewed by 155 | Submission Open
Keywords: mathematical physics; fluid mechanics; analytical mechanics; Lagrangian dynamics; Hamiltonian dynamics; dynamics with constraints
(This special issue belongs to the Section Mathematical Physics)
Existence of Solutions for Differential Equations: Theories, Methods and Applications
edited by Guidong Li, Fengjun Li and
Yongyong Li
submission deadline 30 Sep 2026 | Viewed by 147 | Submission Open
Keywords: differential equations; existence of solutions; variational methods; nonlinear functional analysis; fixed point theory; topological degree theory; elliptic partial differential equations; fractional differential equations
(This special issue belongs to the Section Mathematical Analysis)
Theory and Applications: Numerical Analysis
edited by
Xinhui Shao
,
Hailong Shen
and Guanyu Xue
submission deadline 16 Oct 2026 | Viewed by 190 | Submission Open
Keywords: solution methods for linear algebra systems; solution methods for nonlinear algebra systems; numerical methods for differential equations; mathematical physics inverse problems; matrix factorization; matrix computation; matrix analysis; quaternion matrix theory; stochastic algorithms; intelligent optimization algorithms; machine learning; deep learning
(This special issue belongs to the Section Mathematical Analysis)
Permutation Patterns
edited by Daniel Gray
submission deadline 20 Oct 2026 | 1 articles | Viewed by 979 | Submission Open
Keywords: universal permutations; superpatterns; superpermutations; circular permutations; permutation patterns; pattern avoidance; pattern containment
New Research on Differential Geometry and Its Applications
edited by Nenad O. Vesić and
Rutwig Campoamor-Stursberg
submission deadline 30 Oct 2026 | Viewed by 264 | Submission Open
Keywords: tensor calculus; affine connection; metric tensor; inner product; curvature tensor; invariants; cosmological models; energy levels; fuzzy numbers and MCDM methods; graphical analysis
(This special issue belongs to the Section Geometry and Topology)
Computational Statistics and Its Applications, 2nd Edition
edited by
Eva T. López Sanjuán
and
María Isabel Parra Arévalo
submission deadline 31 Oct 2026 | 5 articles | Viewed by 6871 | 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
Kinkar Chandra Das
submission deadline 31 Oct 2026 | 5 articles | Viewed by 4837 | 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 Harmonic Analysis
edited by
Qingying Xue
submission deadline 31 Oct 2026 | 3 articles | Viewed by 3422 | Submission Open
Keywords: linear Calderó n– Zygmund operators; multilinear Calderó n– Zygmund operators; smoothness and function spaces; square functions; Fourier analysis; Hardy– Littlewood maximal functions; compactness; weighted norm inequalities; interpolation theory; convolution operators
(This special issue belongs to the Section Mathematical Analysis)
Dynamics, Stability, Chaos, Control and Applications of Dynamical Systems
edited by
Massaoud Berkal
,
Mohammed Bakheet Almatrafi
and Juan Francisco Navarro
submission deadline 31 Oct 2026 | 2 articles | Viewed by 2940 | 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 and Stochastic Processes
edited by
Geonwoo Kim
submission deadline 31 Oct 2026 | 4 articles | Viewed by 2938 | 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
Chiming Chen
submission deadline 31 Oct 2026 | 4 articles | Viewed by 1709 | 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)
Fractional Calculus—Theory and Applications, 4th Edition
edited by
Jorge E. Macías Díaz
submission deadline 31 Oct 2026 | 1 articles | Viewed by 1563 | Submission Open
Keywords: fractional-order differential/integral equations; existence and regularity of solutions; numerical methods for fractional equations; analysis of convergence and stability; applications to science and technology
(This special issue belongs to the Section Mathematical Analysis)
New Advances in Numerical Linear Algebra and Its Applications
edited by
Petko Petkov
submission deadline 31 Oct 2026 | 1 articles | Viewed by 1460 | Submission Open
Keywords: numerical linear algebra; matrix computations; perturbation analysis; least squares problems; eigenvalue problems; ill-posed problems; regularization methods; software for numerical matrix computations
(This special issue belongs to the Section Mathematical Analysis)
Advances in Kinetic Theory and Its Application
edited by
Qizhen Hong
and Tianbai Xiao
submission deadline 31 Oct 2026 | 1 articles | Viewed by 1154 | Submission Open
Keywords: kinetic theory; non-equilibrium dynamics; Boltzmann equation; multiscale modeling; computational methods
(This special issue belongs to the Section Mathematical Physics)
Applications in Mathematical Modeling and Optimization
edited by
Zakaria El Allali
, El Bekkaye Mermri and Chafik Allouch
submission deadline 31 Oct 2026 | Viewed by 490 | Submission Open
Keywords: mathematical modeling; optimization; nonlinear analysis; numerical analysis; variational inequalities; computational methods; systems optimization; approximation theory; equilibrium problems; computational intelligence
(This special issue belongs to the Section Mathematical Analysis)
Topological Algebras and Related Topics
edited by Wei He,
Dekui Peng
, Víctor Hugo Yañez and
Ziqin Feng
submission deadline 31 Oct 2026 | Viewed by 347 | Submission Open
Keywords: topological algebras; topological groups; lie groups; set-theoretic topology; descriptive set theory; mathematical logic; generalized metric spaces; topological vector spaces; functional analysis
(This special issue belongs to the Section Algebra and Number Theory)
Mathematical Aspects of Quantum Field Theory and Quantization, 2nd Edition
edited by
Alexandre Landry
submission deadline 31 Oct 2026 | 1 articles | Viewed by 174 | 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)
Special Functions and Related Topics, 2nd Edition
edited by
Slobodan B. Tričković
and Miomir Stankovic
submission deadline 30 Nov 2026 | 16 articles | Viewed by 13408 | Submission Open
Keywords: gamma function; Riemann zeta and related functions; Hurwitz zeta function; Psi (Digamma) function; Pochammer symbol; Gauss hypergeometric function; Bessel and related functions; Bernoulli numbers and polynomials; harmonic numbers; Schlö milch series
Probability Theory and Stochastic Processes: Theory and Applications
edited by
João Paulo Martins
,
Rui Santos
and
Miguel Felgueiras
submission deadline 30 Nov 2026 | 9 articles | Viewed by 7394 | Submission Open
Keywords: probability theory; stochastic processes; random walks; Gauss– Markov processes; Markov chains; stochastic modeling; ergodic theory; numerical simulations; machine learning; neuronal modeling
Recent Advances in Fuzzy Theory Applications
edited by Rédina Berkachy and
Manuel Arana-Jimenez
submission deadline 30 Nov 2026 | 4 articles | Viewed by 6601 | 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)
A Century of Quantum Mechanics: Mathematical Foundations and Computational Applications
edited by
Oscar Montiel Ross
submission deadline 30 Nov 2026 | 3 articles | Viewed by 5793 | 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)
Elliptic Curves, Modular Forms, L-Functions and Applications
edited by Dongxi Ye and
Fabio Caldarola
submission deadline 30 Nov 2026 | 4 articles | Viewed by 4034 | Submission Open
Keywords: combinatorics; elliptic curves; L-functions; modular forms; number theory
(This special issue belongs to the Section Algebra and Number Theory)
Fixed-Point Theory and Its Related Topics, 5th Edition
edited by
Hsien-Chung Wu
submission deadline 30 Nov 2026 | 3 articles | Viewed by 3906 | Submission Open
Keywords: fixed point; best proximity point; equilibrium; Cauchy sequences; completeness; game theory
(This special issue belongs to the Section Mathematical Analysis)
Recent Developments in Mathematical Fluid Dynamics
edited by
Andrea Chierici
submission deadline 30 Nov 2026 | 5 articles | Viewed by 3657 | 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)
Applied Mathematics and Numerical Analysis: Theory and Applications, 2nd Edition
edited by
Avrilia Konguetsof
submission deadline 30 Nov 2026 | 2 articles | Viewed by 3546 | 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)
New Developments in Geometric Function Theory, 4th Edition
edited by
Georgia Irina Oros
submission deadline 30 Nov 2026 | 4 articles | Viewed by 3319 | Submission Open
Keywords: analytic function; univalent function; harmonic function; meromorphic function; differential subordination; differential superordination; differential operator; integral operator; fractional operator; q-operator; special functions
(This special issue belongs to the Section Mathematical Analysis)
Numerical Analysis, Approximation Theory and Related Topics
edited by Rada Mutavdžić Đukić and
Gradimir V. Milovanović
submission deadline 30 Nov 2026 | 3 articles | Viewed by 2696 | Submission Open
Keywords: numerical analysis; numerical linear algebra; special functions; approximation theory; applied mathematics
(This special issue belongs to the Section Mathematical Analysis)
Methods and Applications of Advanced Statistical Analysis, 3rd Edition
edited by
Tomas Ruzgas
submission deadline 30 Nov 2026 | 3 articles | Viewed by 2021 | Submission Open
Keywords: application of statistics; causal analysis; classification and clustering; data analysis; linear and nonlinear models; mixed modelling; nonparametric statistics; regression and analysis of variance; robust statistics; time series
(This special issue belongs to the Section Mathematical Analysis)
Orthogonal Polynomials, Special Functions and Applications, 3rd Edition
edited by
Gradimir V. Milovanović
submission deadline 30 Nov 2026 | 2 articles | Viewed by 1684 | 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)
Numerical Methods and Modeling for Multiscale Problems and Applications
edited by Emanuele Macca and Sebastiano Boscarino
submission deadline 30 Nov 2026 | 1 articles | Viewed by 1589 | 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)
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