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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Stochastic Modeling and Optimization Techniques
edited by , and Hranislav Milosevic
submission deadline 28 Feb 2026 | 4 articles | Viewed by 4886 | 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 | 6 articles | Viewed by 3519 | 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 2565 | 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 | 2 articles | Viewed by 2383 | 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 1497 | Submission Open
Keywords: fixed point; best proximity point; equilibrium; Cauchy sequences; completeness; game theory
(This special issue belongs to the Section Mathematical Analysis)
Elliptic Curves, Modular Forms, L-Functions and Applications
edited by Dongxi Ye and
submission deadline 28 Feb 2026 | 2 articles | Viewed by 1458 | Submission Open
Keywords: combinatorics; elliptic curves; L-functions; modular forms; number theory
(This special issue belongs to the Section Algebra and Number Theory)
Recent Advances in Differential Equations and Related Topics submission deadline 28 Feb 2026 | 2 articles | Viewed by 1149 | 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 Methods and Modeling for Multiscale Problems and Applications
edited by Emanuele Macca and Sebastiano Boscarino
submission deadline 28 Feb 2026 | 1 articles | Viewed by 755 | 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)
Numerical Analysis, Approximation Theory and Related Topics
edited by Rada Mutavdžić Đukić and
submission deadline 28 Feb 2026 | Viewed by 713 | Submission Open
Keywords: numerical analysis; numerical linear algebra; special functions; approximation theory; applied mathematics
(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 530 | 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 333 | 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 75 | 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 51 | 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 | 3 articles | Viewed by 1350 | 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 237 | Submission Open
Keywords: mathematical modeling; optimization; computational modeling
Operator Theory and Related Topics
edited by
submission deadline 30 Mar 2026 | Viewed by 61 | Submission Open
Keywords: spectral theory and spectral radius; operator matrices and elementary operators; orthogonality in operator spaces; numerical ranges and norm inequalities; unitarily invariant norms; matrix inequalities and operator monotone functions; orthogonal projections and positive operators; perturbation theory and stability analysis; functional calculus and operator algebras; Banach and Hilbert space theory; operator inequalities; multivariable operator theory
(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 11581 | 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)
Advances in Geometric Function Theory and Related Topics
edited by , Grigore Stefan Salagean and
submission deadline 31 Mar 2026 | 11 articles | Viewed by 11460 | 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)
New Theory and Applications of Nonlinear Analysis, Fractional Calculus and Optimization, 2nd Edition
edited by
submission deadline 31 Mar 2026 | 7 articles | Viewed by 6786 | Submission Open
Keywords: functional analysis; fixed point theory and its applications; set-valued analysis; critical point theory; matrix theory; convex analysis; fractional differential equation; well-posedness of fractional system; fractional epidemic model; non-smooth analysis and optimization; graph theory and optimization; stability analysis; dynamics and chaos; machine learning; artificial neural networks
(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 2960 | 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 | 4 articles | Viewed by 2937 | 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 1619 | Submission Open
Keywords: statistical analysis; hypothesis testing; big data analysis; time-series analysis; operations research; mathematical modeling; optimization
Advances in Graph Theory with Its Applications
edited by Manuel Ceballos and
submission deadline 31 Mar 2026 | 2 articles | Viewed by 1066 | Submission Open
Keywords: graph theory; graph algorithms; network analysis; structural graph properties; computational geometry; graph applications; interdisciplinary mathematics; optimization; modeling
(This special issue belongs to the Section Mathematical Analysis)
New Developments in Geometric Function Theory, 4th Edition
edited by
submission deadline 31 Mar 2026 | 1 articles | Viewed by 483 | 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)
Special Functions and Related Topics, 2nd Edition
edited by and Miomir Stankovic
submission deadline 31 Mar 2026 | 2 articles | Viewed by 277 | 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
Research in Fixed Point Theory and Its Applications submission deadline 31 Mar 2026 | 1 articles | Viewed by 254 | Submission Open
Keywords: metric spaces; fixed point theory; stability; optimization and optimal control; machine learning; numerical and computational methods
(This special issue belongs to the Section Mathematical Analysis)
Orthogonal Polynomials, Special Functions and Applications, 3rd Edition submission deadline 31 Mar 2026 | Viewed by 101 | 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 77 | 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
Numerical Computation, Approximation of Functions and Applied Mathematics, 3rd Edition
edited by
submission deadline 31 Mar 2026 | Viewed by 65 | Submission Open
Keywords: approximation of functions; numerical computation; computational complexity; optimization; machine learning; signal processing
(This special issue belongs to the Section Mathematical Analysis)
New Advances in Numerical Linear Algebra and Its Applications
edited by
submission deadline 31 Mar 2026 | Viewed by 64 | 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 Representation Theory of Algebras submission deadline 31 Mar 2026 | Viewed by 58 | 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)
Mathematical Foundations for Physical Sciences submission deadline 31 Mar 2026 | Viewed by 52 | Submission Open
Keywords: quantum mechanics; special relativity; relativistic quantum mechanics; bound state; computational mathematical modeling; functional methods
(This special issue belongs to the Section Mathematical Physics)
New Trends in Fuzzy Logic and Its Applications
edited by , Petra Murinova and
submission deadline 31 Mar 2026 | Viewed by 51 | Submission Open
Keywords: fuzzy logic; fuzzy systems; fuzzy set theory; modeling vagueness and imprecision; uncertainty modeling; real-world applications
(This special issue belongs to the Section Logic)
Generalized Fractional Operators and Special Functions: Theory, Methods, and Applications
edited by Adil Jhangeer
submission deadline 31 Mar 2026 | Viewed by 51 | Submission Open
Keywords: generalized fractional operators; fractional differential equations; operational calculus; integral transforms; special functions; real world applications
General Theory of Inverse Problems and Their Numerical Methods
edited by , Wei Wang and Yong Chen
submission deadline 31 Mar 2026 | Viewed by 47 | Submission Open
Keywords: inverse problems; ill-posed problems; regularization; optimization; numerical methods
(This special issue belongs to the Section Mathematical Analysis)
Recent Applications of Statistical and Mathematical Models
edited by
submission deadline 31 Mar 2026 | Viewed by 47 | Submission Open
Keywords: mathematical modeling; statistical modeling; clustering; classification; time series analysis; spatial analysis; machine learning; data science; survival analysis; survey analysis; risk assessment; risk management
(This special issue belongs to the Section Mathematical Analysis)
Trends in Phase Transitions, Synchronization, Irreversibility, and Critical Phenomena in Chaotic Dynamics submission deadline 31 Mar 2026 | Viewed by 46 | Submission Open
Keywords: phase transitions; irreversibility; critical phenomena; chaotic dynamics; synchronization; complex networks
(This special issue belongs to the Section Mathematical Physics)
Advances in Differential Geometry and Mathematical Physics, 2nd Edition
edited by
submission deadline 31 Mar 2026 | Viewed by 34 | 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)
Methods and Applications of Advanced Statistical Analysis, 3rd Edition
edited by
submission deadline 31 Mar 2026 | Viewed by 28 | 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)
Delay Differential Equations: Theory, Control and Applications submission deadline 20 Apr 2026 | Viewed by 194 | 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
New Perspectives in Operator Theory and Functional Analysis
edited by
submission deadline 30 Apr 2026 | 7 articles | Viewed by 4213 | Submission Open
Keywords: operator theory; functional analysis; linear operator; nonlinear operator; operator algebras
(This special issue belongs to the Section Mathematical Analysis)
Complex Variables in Quantum Gravity
edited by
submission deadline 30 Apr 2026 | 3 articles | Viewed by 3382 | Submission Open
Keywords: integral transforms; quantum field theory; quantum gravity; complex mappings
(This special issue belongs to the Section Mathematical Physics)
Recent Progress in Computational Fluid Dynamics
edited by Satyvir Singh
submission deadline 30 Apr 2026 | 3 articles | Viewed by 3342 | Submission Open
Keywords: computational fluid dynamics; high-order numerical methods; hydrodynamic instability; Richtmyer– Meshkov instability; convection flows; Newtonian and non-Newtonian flows; rarefied flows; Navier– Stokes equations; multiphase flows; computational approaches; computational flow physics
Advances in Applied Algebra and Related Topics
edited by Filipa Soares de Almeida and
submission deadline 30 Apr 2026 | 4 articles | Viewed by 3093 | Submission Open
Keywords: applied algebra; coding theory; computer science; cryptography; data analysis; mathematical modeling; number theory; optimization problems
(This special issue belongs to the Section Algebra and Number Theory)
Complex Networks and Dynamical Systems
edited by Shang Gao, Chunmei Zhang and Ying Guo
submission deadline 30 Apr 2026 | 4 articles | Viewed by 3083 | Submission Open
Keywords: complex networks; stability; white noise; telegraph noise; stochastic systems; control theory; synchronization; periodicity
(This special issue belongs to the Section Mathematical Physics)
Theory and Application of Integral Inequalities, 2nd Edition
edited by
submission deadline 30 Apr 2026 | 5 articles | Viewed by 2405 | Submission Open
Keywords: generalized convexity; q-calculus; fractional calculus; variational inequalities; interval-valued inequalities; Jensen inequality; applications in information theory and statistics; inequalities related to functions; applications of inequalities in operator theory; matrix inequality
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Modeling and Control: Theory and Applications
edited by Guangying Lv and
submission deadline 30 Apr 2026 | 1 articles | Viewed by 1239 | Submission Open
Keywords: stochastic control; multi-agent systems; optimal control; stochastic (partial) differential equations; fractional differential equations; machine learning
(This special issue belongs to the Section Mathematical Analysis)
Difference, Functional, and Related Equations, 2nd Edition
edited by Ravi Shankar and
submission deadline 30 Apr 2026 | 2 articles | Viewed by 912 | Submission Open
Keywords: difference equations; functional equations; delay differential equations; fractional difference and other equations; numerical methods for equations; stochastic equation; stochastic analysis; applications to natural and social sciences
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Mathematical Physics with Applications in Quantum Theory
edited by Oscar Gerardo Loaiza-Brito and
submission deadline 30 Apr 2026 | Viewed by 194 | Submission Open
Keywords: quantum theories; quantum field theory (QFT); topological quantum field theory (TQFT); quantum gravity; entanglement; quantum information; string theory; generalized symmetries; non-invertible symmetries
(This special issue belongs to the Section Mathematical Physics)
Advances in Partial Differential Equations: Qualitative Analysis and Numerical Methods, 2nd Edition
edited by and Jun Zhou
submission deadline 30 Apr 2026 | Viewed by 42 | Submission Open
Keywords: partial differential equations; stochastic; blow-up; well-posedness; dynamics; numerical analysis; long-time behavior; probability
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