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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Advances in Graph Theory with Its Applications
edited by Manuel Ceballos and
submission deadline 31 Mar 2026 | 2 articles | Viewed by 1244 | 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)
Research in Fixed Point Theory and Its Applications submission deadline 31 Mar 2026 | 2 articles | Viewed by 996 | 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)
New Advances in Numerical Linear Algebra and Its Applications
edited by
submission deadline 31 Mar 2026 | Viewed by 245 | 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)
Generalized Fractional Operators and Special Functions: Theory, Methods, and Applications
edited by Adil Jhangeer
submission deadline 31 Mar 2026 | Viewed by 166 | Submission Open
Keywords: generalized fractional operators; fractional differential equations; operational calculus; integral transforms; special functions; real world applications
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 142 | 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
Orthogonal Polynomials, Special Functions and Applications, 3rd Edition submission deadline 31 Mar 2026 | Viewed by 141 | 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)
New Trends in Fuzzy Logic and Its Applications
edited by , Petra Murinova and
submission deadline 31 Mar 2026 | Viewed by 136 | 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 Representation Theory of Algebras submission deadline 31 Mar 2026 | Viewed by 116 | 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 | Viewed by 112 | 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)
Numerical Computation, Approximation of Functions and Applied Mathematics, 3rd Edition
edited by
submission deadline 31 Mar 2026 | Viewed by 102 | Submission Open
Keywords: approximation of functions; numerical computation; computational complexity; optimization; machine learning; signal processing
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Foundations for Physical Sciences submission deadline 31 Mar 2026 | Viewed by 91 | 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)
Methods and Applications of Advanced Statistical Analysis, 3rd Edition
edited by
submission deadline 31 Mar 2026 | Viewed by 87 | 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)
Trends in Phase Transitions, Synchronization, Irreversibility, and Critical Phenomena in Chaotic Dynamics submission deadline 31 Mar 2026 | Viewed by 84 | Submission Open
Keywords: phase transitions; irreversibility; critical phenomena; chaotic dynamics; synchronization; complex networks
(This special issue belongs to the Section Mathematical Physics)
General Theory of Inverse Problems and Their Numerical Methods
edited by , Wei Wang and Yong Chen
submission deadline 31 Mar 2026 | Viewed by 74 | Submission Open
Keywords: inverse problems; ill-posed problems; regularization; optimization; numerical methods
(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 | Viewed by 67 | 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)
Delay Differential Equations: Theory, Control and Applications submission deadline 20 Apr 2026 | Viewed by 322 | 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 | 12 articles | Viewed by 10321 | 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 | 9 articles | Viewed by 8054 | 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 | 7 articles | Viewed by 5709 | 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 4265 | 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 3686 | 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 3561 | 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 3490 | 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 3064 | 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 1493 | 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 1142 | 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 Developments in Differential Geometry and Its Applications
edited by Yanhua Yu, and Yun Yang
submission deadline 30 Apr 2026 | 2 articles | Viewed by 1122 | 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)
Recent Advances in Mathematical Physics with Applications in Quantum Theory
edited by Oscar Gerardo Loaiza-Brito and
submission deadline 30 Apr 2026 | 1 articles | Viewed by 477 | 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 130 | 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 95 | 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)
Advances in Nonlinear Analysis and Boundary Value Problems, 2nd Edition submission deadline 30 Apr 2026 | Viewed by 88 | 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 | Viewed by 70 | 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 the Theory and Applications of Statistical Distributions submission deadline 30 May 2026 | 5 articles | Viewed by 5198 | 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 1619 | 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)
New Perspectives in Lie Algebras, 2nd Edition submission deadline 30 May 2026 | 1 articles | Viewed by 211 | 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 80 | Submission Open
Keywords: metric spaces; fixed points; best proximity points; Cauchy sequences; completeness
(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 70 | Submission Open
Keywords: portfolio optimization; financial engineering; metaheuristics; constraint handling; swarm intelligence; evolutionary computation
(This special issue belongs to the Section Mathematical Analysis)
Advances in Differential Equations and Its Applications submission deadline 31 May 2026 | 12 articles | Viewed by 14347 | 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 | 11 articles | Viewed by 12249 | 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 | 6 articles | Viewed by 8206 | 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 | 5 articles | Viewed by 5730 | 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 | 6 articles | Viewed by 5240 | 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)
Advances in Fuzzy Logic and Fuzzy Implications submission deadline 31 May 2026 | Viewed by 581 | Submission Open
Keywords: fuzzy logic; fuzzy set theory; fuzzy mathematics; fuzzy connectives; fuzzy implications; triangular norms; triangular co-norms; fuzzy control; fuzzy systems and applications; pythagorean fuzzy sets; fuzzy set extension
(This special issue belongs to the Section Logic)
Numerical and Analytical Methods for Partial Differential Equations with Integral Boundary Conditions
edited by Geni Gupur and
submission deadline 31 May 2026 | Viewed by 148 | Submission Open
Keywords: time-dependent solution; asymptotic behavior; operator semigroup; resolvent set; spectrum
(This special issue belongs to the Section Mathematical Analysis)
Application of Machine Learning and Optimization Methods in Engineering Mathematics, 2nd Edition submission deadline 31 May 2026 | Viewed by 114 | Submission Open
Keywords: optimization methods; multicriteria optimization; operational research; intelligent decision support systems; environmentally friendly solutions; green building materials; application of machine learning techniques; project management; construction management
(This special issue belongs to the Section Mathematical Analysis)
Fractional Differentiation and Applied Mathematics: Recent Advances and Applications submission deadline 31 May 2026 | Viewed by 114 | Submission Open
Keywords: applied mathematics; mathematical modeling; fractional calculus; nonlinear dynamical systems; control theory; financial mathematics
(This special issue belongs to the Section Mathematical Analysis)
Current Trends in the Mathematics of Fuzzy Sets and Logic submission deadline 31 May 2026 | Viewed by 103 | Submission Open
Keywords: fuzzy theory; multi-criteria decision making; multi-objective programming; statistical methodology; testing and evaluation model; process capability index
(This special issue belongs to the Section Mathematical Analysis)
Advancements in Applied Mathematics and Computational Physics, 2nd Edition
edited by and Branislav Vlahovic
submission deadline 31 May 2026 | Viewed by 102 | Submission Open
Keywords: applied mathematics; computational physics; experimental and theoretical physics; physical electronics; algebra
(This special issue belongs to the Section Mathematical Physics)
New Trends in Fixed Point Theory in Fuzzy Metric Spaces and Their Generalizations
edited by
submission deadline 31 May 2026 | Viewed by 96 | Submission Open
Keywords: fuzzy metric space; fixed-point; contractive mapping; generalized fuzzy metric spaces; common fixed points; completeness; stability analysis; convergence and uniqueness results; optimization; nonlinear analysis
(This special issue belongs to the Section Mathematical Analysis)
Advances in Functional Analysis and Banach Space
edited by Shaoqiang Shang and
submission deadline 31 May 2026 | Viewed by 92 | Submission Open
Keywords: Banach space geometry theory; fixed point theory; orlicz space; coarse isometry; approximation
(This special issue belongs to the Section Mathematical Analysis)
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