Special Issues

Axioms publishes Special Issues to create collections of papers on specific topics, with the aim of building a community of authors and readers to discuss the latest research and develop new ideas and research directions. Special Issues are led by Guest Editors, who are experts on the topic and all Special Issue submissions follow MDPI's standard editorial process. The journal’s Editor-in-Chief and/or designated Editorial Board Member will oversee Guest Editor appointments and Special Issue proposals, checking their content for relevance and ensuring the suitability of the material for the journal. The papers published in a Special Issue will be collected and displayed on a dedicated page of the journal’s website. Further information on MDPI's Special Issue policies and Guest Editor responsibilities can be found here. For any inquiries related to a Special Issue, please contact the Editorial Office.

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Mathematical, Optimization, and Computational Modeling in Machine Learning
edited by , , Rocío Ochoa-Montiel and
submission deadline 30 Mar 2026 | Viewed by 533 | Submission Open
Keywords: mathematical modeling; optimization; computational modeling
Operator Theory and Related Topics
edited by
submission deadline 30 Mar 2026 | Viewed by 408 | 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
submission deadline 31 Mar 2026 | 8 articles | Viewed by 20670 | 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 | 12 articles | Viewed by 15593 | 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 | 10 articles | Viewed by 11169 | 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)
Special Functions and Related Topics, 2nd Edition
edited by and Miomir Stankovic
submission deadline 31 Mar 2026 | 12 articles | Viewed by 8507 | 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
Recent Advances in Function Spaces and Their Applications
edited by and Suzana Aleksić
submission deadline 31 Mar 2026 | 4 articles | Viewed by 5348 | 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)
Recent Advances in Complex Analysis and Applications, 2nd Edition
edited by
submission deadline 31 Mar 2026 | 4 articles | Viewed by 4769 | 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)
New Developments in Geometric Function Theory, 4th Edition
edited by
submission deadline 31 Mar 2026 | 4 articles | Viewed by 2621 | 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)
Advances in Graph Theory with Its Applications
edited by Manuel Ceballos and
submission deadline 31 Mar 2026 | 4 articles | Viewed by 2452 | 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)
Optimization, Operations Research and Statistical Analysis submission deadline 31 Mar 2026 | 1 articles | Viewed by 2213 | Submission Open
Keywords: statistical analysis; hypothesis testing; big data analysis; time-series analysis; operations research; mathematical modeling; optimization
Research in Fixed Point Theory and Its Applications submission deadline 31 Mar 2026 | 2 articles | Viewed by 1974 | 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)
Generalized Fractional Operators and Special Functions: Theory, Methods, and Applications
edited by Adil Jhangeer
submission deadline 31 Mar 2026 | 2 articles | Viewed by 1095 | Submission Open
Keywords: generalized fractional operators; fractional differential equations; operational calculus; integral transforms; special functions; real world applications
Methods and Applications of Advanced Statistical Analysis, 3rd Edition
edited by
submission deadline 31 Mar 2026 | 2 articles | Viewed by 723 | 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)
Advances in Representation Theory of Algebras submission deadline 31 Mar 2026 | 1 articles | Viewed by 695 | 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)
Recent Applications of Statistical and Mathematical Models
edited by
submission deadline 31 Mar 2026 | 1 articles | Viewed by 617 | 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)
Advances in Differential Geometry and Mathematical Physics, 2nd Edition
edited by
submission deadline 31 Mar 2026 | 2 articles | Viewed by 524 | 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)
Trends in Phase Transitions, Synchronization, Irreversibility, and Critical Phenomena in Chaotic Dynamics submission deadline 31 Mar 2026 | 1 articles | Viewed by 505 | Submission Open
Keywords: phase transitions; irreversibility; critical phenomena; chaotic dynamics; synchronization; complex networks
(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 483 | 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)
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 306 | 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
Mathematical Foundations for Physical Sciences submission deadline 31 Mar 2026 | Viewed by 276 | 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)
Numerical Computation, Approximation of Functions and Applied Mathematics, 3rd Edition
edited by
submission deadline 31 Mar 2026 | Viewed by 265 | Submission Open
Keywords: approximation of functions; numerical computation; computational complexity; optimization; machine learning; signal processing
(This special issue belongs to the Section Mathematical Analysis)
Delay Differential Equations: Theory, Control and Applications submission deadline 20 Apr 2026 | 1 articles | Viewed by 821 | 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
Advances in Differential Geometry and Singularity Theory, 2nd Edition submission deadline 30 Apr 2026 | 16 articles | Viewed by 16789 | Submission Open
Keywords: singularity theory; morse theory; singularities; singular submanifolds; light-like submanifolds; differentiable manifolds; submanifold theory; legendrian duality; front and frontal
(This special issue belongs to the Section Geometry and Topology)
Probability, Statistics and Estimations, 2nd Edition submission deadline 30 Apr 2026 | 11 articles | Viewed by 12462 | Submission Open
Keywords: survival analysis; cure rate model; distribution theory; regression models; machine learning; applied statistics; Bayesian statistics
(This special issue belongs to the Section Mathematical Analysis)
New Perspectives in Operator Theory and Functional Analysis
edited by
submission deadline 30 Apr 2026 | 10 articles | Viewed by 10104 | 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 | 4 articles | Viewed by 6674 | Submission Open
Keywords: integral transforms; quantum field theory; quantum gravity; complex mappings
(This special issue belongs to the Section Mathematical Physics)
Theory and Application of Integral Inequalities, 2nd Edition
edited by
submission deadline 30 Apr 2026 | 7 articles | Viewed by 5577 | 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)
Advances in Applied Algebra and Related Topics
edited by Filipa Soares de Almeida and
submission deadline 30 Apr 2026 | 5 articles | Viewed by 5568 | 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 | 6 articles | Viewed by 5404 | 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)
Recent Progress in Computational Fluid Dynamics
edited by Satyvir Singh
submission deadline 30 Apr 2026 | 4 articles | Viewed by 5103 | 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
Recent Developments in Differential Geometry and Its Applications
edited by Yanhua Yu, and Yun Yang
submission deadline 30 Apr 2026 | 4 articles | Viewed by 2455 | Submission Open
Keywords: riemannian manifold; calculus of variations; curve flow; mean curvature flow; heisenberg space; pseudo-euclidean space; invariants; lie groups and lie algebras; centro-affine geometry
(This special issue belongs to the Section Geometry and Topology)
Difference, Functional, and Related Equations, 2nd Edition
edited by Ravi Shankar and
submission deadline 30 Apr 2026 | 3 articles | Viewed by 2124 | 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)
Mathematical Modeling and Control: Theory and Applications
edited by Guangying Lv and
submission deadline 30 Apr 2026 | 1 articles | Viewed by 1936 | 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)
Recent Advances in Mathematical Physics with Applications in Quantum Theory
edited by Oscar Gerardo Loaiza-Brito and
submission deadline 30 Apr 2026 | 2 articles | Viewed by 1399 | 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 Nonlinear Analysis and Boundary Value Problems, 2nd Edition submission deadline 30 Apr 2026 | 2 articles | Viewed by 962 | Submission Open
Keywords: boundary value problems; nonlinear analysis; numerical analysis; real-life problems; green's function; industrial mathematics
(This special issue belongs to the Section Mathematical Analysis)
Nonlinear Analysis and Boundary Value Problems
edited by
submission deadline 30 Apr 2026 | 1 articles | Viewed by 955 | Submission Open
Keywords: variational method; critical point theory; Morse theory; boundary value problems; partial differential equations; ordinary differential equation
(This special issue belongs to the Section Mathematical Analysis)
Advances in Partial Differential Equations: Qualitative Analysis and Numerical Methods, 2nd Edition
edited by and Jun Zhou
submission deadline 30 Apr 2026 | Viewed by 257 | Submission Open
Keywords: partial differential equations; stochastic; blow-up; well-posedness; dynamics; numerical analysis; long-time behavior; probability
New Perspective on Fractal Geometry and Its Application
edited by
submission deadline 30 Apr 2026 | Viewed by 219 | Submission Open
Keywords: fractal geometry and its applications; combinatorics on words; substitution sequences; fractal network; tiling; multifractal analysis
(This special issue belongs to the Section Geometry and Topology)
Mathematics and Its Applications in Other Disciplines
edited by and
submission deadline 20 May 2026 | 2 articles | Viewed by 2482 | Submission Open
Keywords: pure mathematics; applied mathematics; control theory; combinatorics; graph theory; network optimization; network design; computational theory; algorithm design and analysis; computer-aided geometric design; algorithmic complexity; automata theory
Advances in the Theory and Applications of Statistical Distributions submission deadline 30 May 2026 | 6 articles | Viewed by 8065 | Submission Open
Keywords: distribution theory; classical statistic; bayesian statistic; regression models; survival analysis; actuarial statistics
(This special issue belongs to the Section Mathematical Analysis)
Advances in Mathematical Models and Applications
edited by Juan Pablo Gutiérrez-Jara and Fernando Córdova-Lepe
submission deadline 30 May 2026 | 2 articles | Viewed by 2442 | Submission Open
Keywords: mathematical modeling; applied mathematics; epidemiological mathematical models; ecological mathematical models; mathematical models in agronomy; mathematical models in forestry; dynamical system
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Mathematical Optimization and Its Applications in Portfolio Modelling submission deadline 30 May 2026 | Viewed by 2086 | Submission Open
Keywords: portfolio optimization; financial engineering; metaheuristics; constraint handling; swarm intelligence; evolutionary computation
(This special issue belongs to the Section Mathematical Analysis)
New Perspectives in Lie Algebras, 2nd Edition submission deadline 30 May 2026 | 2 articles | Viewed by 1233 | Submission Open
Keywords: structure theory of Lie algebras and superalgebras; classification problems; representation theory; realizations by vector fields or differential operators; computational methods; Lie algebras and symmetries of systems; applications to other natural sciences
(This special issue belongs to the Section Algebra and Number Theory)
Fixed-Point Theory: Methods, Properties, and Applications
edited by
submission deadline 30 May 2026 | Viewed by 273 | Submission Open
Keywords: metric spaces; fixed points; best proximity points; Cauchy sequences; completeness
(This special issue belongs to the Section Mathematical Analysis)
Advances in Differential Equations and Its Applications submission deadline 31 May 2026 | 15 articles | Viewed by 18884 | Submission Open
Keywords: functional differential equations/systems; fractional differential equations/systems; fractional derivatives of a constant order; distributed-order fractional derivatives; variable-order fractional derivatives; stability analysis of fractional-order systems; asymptotic properties of fractional-order systems
(This special issue belongs to the Section Mathematical Analysis)
Advances in Fixed Point Theory with Applications
edited by and Monica-Felicia Bota
submission deadline 31 May 2026 | 12 articles | Viewed by 16817 | Submission Open
Keywords: fixed point theory; well-posedness; stability; coincidence and common fixed points; abstract metric spaces; differential equations and inclusions; integral equations and inclusions; fractional differential equations and inclusions; iterative methods; dynamical systems
(This special issue belongs to the Section Mathematical Analysis)
Applied Mathematics and Mathematical Modeling submission deadline 31 May 2026 | 7 articles | Viewed by 13073 | Submission Open
Keywords: applied mathematics; mathematical modeling; numerical methods; optimization; stochastic processes; computational algorithms; interdisciplinary applications; real-world applications
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Optimizations and Operations Research
edited by Shen Peng and Jia Liu
submission deadline 31 May 2026 | 6 articles | Viewed by 8284 | Submission Open
Keywords: convex and nonconvex optimization; nonsmooth optimization; large-scale optimization; integer program; stochastic optimization; robust optimization; distributionally robust optimization; artificial intelligence; operations research
(This special issue belongs to the Section Mathematical Analysis)
Differential Equations and Inverse Problems, 2nd Edition
edited by , Qiang Ma, and Lifeng Guo
submission deadline 31 May 2026 | 7 articles | Viewed by 7728 | Submission Open
Keywords: partial differential equations; ordinary differential equations; stochastic differential equations; fractional differential equations; fractional calculus; inverse and ill-posed problems; imaging; image reconstruction; tomography; tomographic reconstruction; regularization methods; numerical methods; structure-preserving methods; minimax methods; artificial intelligence; deep learning; reinforcement learning; compact radial basis function approximations; approximations based on neural networks; node layouts for irregular domains; multi-asset option pricing problems; numerical methods for matrix functions; iterative methods for the solution of nonlinear equations; Schulz-type iterative method for generalized matrix inversion; biostatistics and pattern recognition; combination counting; separation theory; information security; existence of solutions; exact solutions; fractional Fourier transform and its applications; interdisciplinary application of mathematics and other disciplines
(This special issue belongs to the Section Mathematical Analysis)
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