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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Complex Variables in Quantum Gravity
edited by
submission deadline 30 Apr 2026 | 3 articles | Viewed by 4948 | Submission Open
Keywords: integral transforms; quantum field theory; quantum gravity; complex mappings
(This special issue belongs to the Section Mathematical Physics)
Advances in Applied Algebra and Related Topics
edited by Filipa Soares de Almeida and
submission deadline 30 Apr 2026 | 4 articles | Viewed by 4050 | 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)
Recent Progress in Computational Fluid Dynamics
edited by Satyvir Singh
submission deadline 30 Apr 2026 | 3 articles | Viewed by 4038 | 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
Complex Networks and Dynamical Systems
edited by Shang Gao, Chunmei Zhang and Ying Guo
submission deadline 30 Apr 2026 | 4 articles | Viewed by 3884 | 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 | 6 articles | Viewed by 3773 | 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 1626 | 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 Developments in Differential Geometry and Its Applications
edited by Yanhua Yu, and Yun Yang
submission deadline 30 Apr 2026 | 3 articles | Viewed by 1597 | 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 | 2 articles | Viewed by 1357 | 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 | 1 articles | Viewed by 638 | 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)
Nonlinear Analysis and Boundary Value Problems
edited by
submission deadline 30 Apr 2026 | 1 articles | Viewed by 438 | 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 149 | Submission Open
Keywords: partial differential equations; stochastic; blow-up; well-posedness; dynamics; numerical analysis; long-time behavior; probability
Advances in Nonlinear Analysis and Boundary Value Problems, 2nd Edition submission deadline 30 Apr 2026 | Viewed by 127 | 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)
New Perspective on Fractal Geometry and Its Application
edited by
submission deadline 30 Apr 2026 | Viewed by 109 | 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 1366 | 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 | 5 articles | Viewed by 5982 | 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 1834 | 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 433 | 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 112 | 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 94 | 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 15359 | 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 13631 | 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 9710 | 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 6480 | 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 6264 | 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 | 1 articles | Viewed by 731 | 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 | 2 articles | Viewed by 526 | Submission Open
Keywords: time-dependent solution; asymptotic behavior; operator semigroup; resolvent set; spectrum
(This special issue belongs to the Section Mathematical Analysis)
Fractional Differentiation and Applied Mathematics: Recent Advances and Applications submission deadline 31 May 2026 | 2 articles | Viewed by 516 | 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)
Advancements in Applied Mathematics and Computational Physics, 2nd Edition
edited by and Branislav Vlahovic
submission deadline 31 May 2026 | 1 articles | Viewed by 235 | Submission Open
Keywords: applied mathematics; computational physics; experimental and theoretical physics; physical electronics; algebra
(This special issue belongs to the Section Mathematical Physics)
Advances in Functional Analysis and Banach Space
edited by Shaoqiang Shang and
submission deadline 31 May 2026 | Viewed by 166 | Submission Open
Keywords: Banach space geometry theory; fixed point theory; orlicz space; coarse isometry; approximation
(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 158 | 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)
Application of Machine Learning and Optimization Methods in Engineering Mathematics, 2nd Edition submission deadline 31 May 2026 | Viewed by 144 | 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)
New Trends in Fixed Point Theory in Fuzzy Metric Spaces and Their Generalizations
edited by
submission deadline 31 May 2026 | Viewed by 114 | 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)
Mathematical Optimization, Variational Inequalities and Equilibrium Problems: Theory and Applications
edited by and Miruna-Mihaela Beldiman
submission deadline 1 Jun 2026 | Viewed by 190 | Submission Open
Keywords: mathematical optimization; mathematical programming; operational research; equilibrium problems; variational inequalities; complementarity problems; game theory; fixed point methods
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Analysis and Applications IV submission deadline 30 Jun 2026 | 16 articles | Viewed by 25455 | Submission Open
Keywords: mathematical (or higher transcendental) functions and their applications; fractional calculus and its applications; q-series and q-polynomials; analytic number theory; special functions of mathematical physics and applied mathematics; geometric function theory of complex analysis
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Cosmology submission deadline 30 Jun 2026 | 5 articles | Viewed by 11469 | Submission Open
(This special issue belongs to the Section Mathematical Physics)
Fractional Calculus and Applied Analysis, 2nd Edition
edited by
submission deadline 30 Jun 2026 | 4 articles | Viewed by 3187 | Submission Open
Keywords: fractional calculus; multivariable fractional calculus; fractional integral and derivatives; fractional ordinary and partial differential equations; problems of mathematical physics; control theory; fractional stochastic processes
(This special issue belongs to the Section Mathematical Analysis)
Reliability and Risk of Complex Systems: Modelling, Analysis and Optimization, 2nd Edition submission deadline 30 Jun 2026 | 3 articles | Viewed by 2440 | Submission Open
Keywords: reliability modelling; optimization; risk analysis; statistical methods; degradation modelling; machine learning; uncertainty quantification; bayesian methods
Advances in Nonlinear Analysis and Numerical Modeling
edited by and Cosmin Dănuț Barbu
submission deadline 30 Jun 2026 | 3 articles | Viewed by 1726 | Submission Open
Keywords: modeling; simulation and optimization; nonlinear analysis; perturbations; parameter estimations
(This special issue belongs to the Section Mathematical Physics)
Mathematical Aspects of Black Holes in General Relativity and Beyond
edited by
submission deadline 30 Jun 2026 | 2 articles | Viewed by 1431 | Submission Open
Keywords: gravitational waves; modified gravity models; AdS/CFT correspondence; nonlinear electrodynamics; black hole thermodynamics; geometrical thermodynamics; quantum-corrected black holes; black hole and wormhole solutions; relativistic astrophysics and accretion disks; relativistic kinetic theory on curved spacetime; black hole perturbation theory and quasinormal modes; metric tensor; geodesic equations; Einstein’ s field equations and beyond
(This special issue belongs to the Section Hilbert’s Sixth Problem)
Modern Problems of Analysis, Optimization, Approximation and Their Applications
edited by
submission deadline 30 Jun 2026 | 3 articles | Viewed by 1141 | Submission Open
Keywords: approximations and expansions; calculus of variations and optimal control; continued fractions and their generalizations; difference and functional equations; functional analysis; functions in complex variables; integral equations; integral equations; number theory; numerical analysis; operator theory; ordinary differential equations; partial differential equations; real functions; sequences; series; and summability; several complex variables and analytic spaces; special functions
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Foundations and Their Applications in Optical Sciences submission deadline 30 Jun 2026 | Viewed by 225 | Submission Open
Keywords: light propagation; optics and photonics; Sagnac optical effects; one-way linear effect; light speed invariance; mathematical physics
(This special issue belongs to the Section Mathematical Physics)
The Numerical Analysis and Its Application, 2nd Edition
edited by Janis Bajars
submission deadline 30 Jun 2026 | Viewed by 203 | Submission Open
Keywords: applied numerical analysis; computational mathematics; numerical methods for differential and integral equations; geometric numerical integration; data-driven dynamical systems; physics-informed learning; optimization techniques in mathematical modelling
(This special issue belongs to the Section Mathematical Analysis)
Combinatorics and Graph Theory with Applications in Computer Science submission deadline 30 Jun 2026 | Viewed by 183 | Submission Open
Keywords: graph theory; combinatorics; graph algorithms; combinatorial optimization; algorithm design; network analysis; computational complexity; discrete mathematics; theoretical computer science; cryptography
(This special issue belongs to the Section Mathematical Analysis)
Advances in Discrete-Fractional Mathematics and Its Application submission deadline 30 Jun 2026 | Viewed by 164 | Submission Open
Keywords: graph theory; domination theory; spectral graph theory; discrete dynamical systems; fractional differential equations; fractal differential equations
(This special issue belongs to the Section Mathematical Analysis)
Nonlinear Inverse Problems with Deep Generative Models
edited by
submission deadline 30 Jun 2026 | Viewed by 78 | Submission Open
Keywords: deep generative models; nonlinear inverse problems; diffusion models; Ill-posed problems; Bayesian reconstruction
Advanced Approximation Techniques and Their Applications, 3rd Edition
edited by
submission deadline 30 Jun 2026 | Viewed by 38 | Submission Open
Keywords: interpolation in approximation theory; approximation by polynomials spline; approximation; approximation by trigonometric polynomials inequalities in approximation; approximation by rational functions; Padé approximation; rate of convergence; inverse theorems in approximation; theory simultaneous approximation; approximation with constraints; approximation by special function classes; approximation by operators’ saturation in approximation theory; best constants in approximation theory; approximation by arbitrary linear expressions; approximation by arbitrary nonlinear expressions; uniqueness of best approximation; best approximants; approximate quadratures; numerical approximation; series expansions; asymptotic approximations; asymptotic expansions; abstract approximation theory; remainders in approximation; formulas least-squares; method continued fractions and their generalizations; convergence and divergence of infinite limiting processes; approximation of solutions of differential equations; approximation of solutions of functional– differential equations; approximation of solutions of integral equations
(This special issue belongs to the Section Mathematical Analysis)
Theory and Applications of Fuzzy Logic and Systems
edited by
submission deadline 30 Jun 2026 | Viewed by 37 | Submission Open
Keywords: fuzzy logic; type-1 fuzzy logic; proportional– integral– derivative (PID); optimization; parameter adaptation  
(This special issue belongs to the Section Logic)
Differential Equations and Related Topics, 3rd Edition submission deadline 30 Jun 2026 | Viewed by 35 | Submission Open
Keywords: differential equations; partial differential equations; fractional differential equations; initial-value problems; boundary value problems; Ulam’ s type stability; fixed-point theory approximation; theory numerical schemes; integral transforms real-world applications; other related topics
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Methods in the Applied Sciences, 3rd Edition submission deadline 20 Jul 2026 | Viewed by 24 | Submission Open
Keywords: mathematical methods; analysis; applied mathematics; biomathematics; modeling; applied sciences; real systems; applied mechanics; quantitative models; simulation methodology; inverse problems; numerical methods; machine learning; deep learning; reinforcement learning
(This special issue belongs to the Section Mathematical Analysis)
Machine Learning Methods for Stochastic Differential Equations
edited by Qidi Peng
submission deadline 20 Jul 2026 | Viewed by 15 | Submission Open
Keywords: stochastic calculus; fractional calculus; Malliavin calculus; stochastic differential equations; numerical methods; machine learning algorithm; finance; engineering
(This special issue belongs to the Section Mathematical Analysis)
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