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 polices 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 Differential Geometry and Singularity Theory submission deadline 31 Jul 2024 | 19 articles | Viewed by 18684
Keywords: singularity theory; morse theory; singularities; singular submanifolds; lightlike submanifolds; differentiable manifolds; submanifold theory; legendrian duality; front and frontal
(This special issue belongs to the Section Geometry and Topology)
Advances in Graph Theory and Combinatorial Optimization
edited by and
submission deadline 31 Jul 2024 | 10 articles | Viewed by 10383
Keywords: graph theory; applied graph theory; combinatorial optimization; graph algorithms and complexity analysis; NP-hard problems in graphs; optimization theory; Eulerian and Hamiltonian graphs; extremal problems in graphs; graph parameters; graphical indices; paths and cycles; matchings; connectivity; Ramsey problems; Turá n problems; flows in graphs; graph colouring; graph embedding; random graphs; planar graphs; chemical graph theory; various graph polynomials; eigenvalues of graphs; distance regular graphs; digraphs; hypergraphs
(This special issue belongs to the Section Algebra and Number Theory)
Advances in Logic and Game Theory submission deadline 31 Jul 2024 | 6 articles | Viewed by 8805
Keywords: model games for formal language; beliefs in game theoretical analysis; equilibrium checking; concurrent games; logic and game theory
Mathematical Modelling of Complex Systems
edited by and Chaofeng Zhang
submission deadline 31 Jul 2024 | 3 articles | Viewed by 4789
Keywords: complex systems; mathematical modelling; artificial intelligence; neural networks; evolutionary algorithms; adaptability; dynamics; system optimization; Internet of Things; cyber physical system
(This special issue belongs to the Section Mathematical Physics)
Mathematical Models and Simulations II
edited by
submission deadline 20 Aug 2024 | 2 articles | Viewed by 1426 | Submission Open
Keywords: mathematical models; ordinary differential equations; partial differential equations; stochastic processes; stochastic differential equations; finite difference schemes; finite volume schemes; finite element method; discontinuous galerkin method; monte carlo method
(This special issue belongs to the Section Mathematical Physics)
Differential Equations and Dynamical SystemsTheory and Applications
edited by
submission deadline 23 Aug 2024 | 19 articles | Viewed by 23579 | Submission Open
Keywords: dynamical systems; differential equations; difference equations; functional equations; integral equations; evolution families; semigroups; asymptotic behavior; stability; dichotomy; trichotomy; Lyapunov functions
(This special issue belongs to the Section Mathematical Analysis)
Computational Statistics and Its Applications submission deadline 23 Aug 2024 | 7 articles | Viewed by 7222 | 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)
Advances in Financial Mathematics
edited by , , Xianming Sun, Fei Ma and
submission deadline 23 Aug 2024 | 4 articles | Viewed by 6100 | Submission Open
Keywords: asset pricing; quantitative finance and trading; portfolio and investment; stochastic modelling; financial markets; insurance and risk management; FinTech
Applied Mathematics and Numerical Analysis: Theory and Applications
edited by
submission deadline 23 Aug 2024 | 2 articles | Viewed by 1722 | 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)
Differential Equations and Inverse Problems
edited by , Qiang Ma and
submission deadline 28 Aug 2024 | 11 articles | Viewed by 10758 | 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; artificial intelligence; deep learning; reinforcement learning
(This special issue belongs to the Section Mathematical Analysis)
Fractional Calculus and the Applied Analysis
edited by
submission deadline 28 Aug 2024 | 7 articles | Viewed by 8194 | 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)
The Numerical Analysis and Its Application
edited by Janis Bajars
submission deadline 29 Aug 2024 | 4 articles | Viewed by 3236 | 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)
Cooperative Control of Multi-agent Systems and Security Control of Cyber-Physical Systems
edited by , , Yuan Sun and
submission deadline 29 Aug 2024 | 3 articles | Viewed by 3138 | Submission Open
Keywords: mathematical problems of control theory; multi-agent systems; cyber-physical systems; stochastic systems; differential equations and dynamical systems; estimation of complex networked systems; optimization of complex networked systems
Stochastic Modeling and Its Analysis
edited by and
submission deadline 29 Aug 2024 | 3 articles | Viewed by 2314 | Submission Open
Keywords: stochastic process; stochastic persistence in mean; ergodicity; uniqueness and existence of global positive solutions; optimal control
(This special issue belongs to the Section Mathematical Analysis)
Quantum Physics: Paradoxes, Puzzles, Open Questions
edited by Sergei Maydanyuk
submission deadline 29 Aug 2024 | Viewed by 311 | Submission Open
Keywords: quantum mechanics; time; fundamental principles; paradoxes; fusion; quantum mechanics in curved spacetime; relativistic quantum mechanics; relativity and quantum theories; Dirac equation; symmetry; supersymmetry; supersymmetric quantum mechanics; mathematical aspects in quantum mechanics; mathematical aspects of foundations of quantum physics; field theory; group theory; topology; mathematical analysis; mathematical physics; nuclear forces; nuclear matter; quark matters; high densities; clusters in nuclei; relativistic quantum mechanics; collisions of nuclei; particle physics; quantum methods with high precision; exotic nuclear physics; hypernuclei; delta-resonances; pion– nuclear interactions; kaon– nuclear interactions; synthesis of nuclei in cosmos; relativity; nuclear astrophysics; compact star; neutron star; white dwarf; black hole; dense nuclear matter in stars; nuclear synthesis and decay in stars
(This special issue belongs to the Section Mathematical Physics)
Advances in Linear Algebra with Applications submission deadline 30 Aug 2024 | 11 articles | Viewed by 10446 | 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)
Stochastic Processes in Quantum Mechanics and Classical Physics
edited by
submission deadline 30 Aug 2024 | 2 articles | Viewed by 2357 | Submission Open
Keywords: stochastic modelling; quantum mechanics; classical physics; Quantum mechanics; Quantum field theory
(This special issue belongs to the Section Mathematical Physics)
Advances in Classical and Applied Mathematics
edited by , Dana Piciu and Murat Tosun
submission deadline 31 Aug 2024 | 7 articles | Viewed by 4795 | Submission Open
Keywords: classical mathematics; applied mathematics; mathematical models; mathematical principles; computer science
Recent Developments in Stability and Control of Dynamical Systems submission deadline 31 Aug 2024 | 3 articles | Viewed by 1958 | Submission Open
Keywords: optimal control; differential equations and differential inclusions; stability; sensitivity; optimal conditions; fuzzy systems; variational analysis; numerical analysis; qualitative analysis; shape optimization
(This special issue belongs to the Section Mathematical Analysis)
Theory of Curves and Knots with Applications
edited by and Ljubica Velimirovic
submission deadline 31 Aug 2024 | 2 articles | Viewed by 1602 | Submission Open
Keywords: geometry of curves; curvature; curve deformation; variational principles; dual curves; magnetic curves; algebraic curves; analytic curves; geodesics; fractal curves; curves in Minkowski space; curves on manifolds; knots; knot invariants; knot polynomials; braid theory; topological transformations; knot energies; link theory; DNA knotting; knot recognition algorithms; quantum knot invariants; geometric knot theory; virtual knots; statistical mechanics; kinematics; biophysics; computer graphics
(This special issue belongs to the Section Geometry and Topology)
Recent Advances in Differential Equations and Optimization Algorithms
edited by Xiaogang Qi, Caixia Deng and
submission deadline 31 Aug 2024 | Viewed by 216 | Submission Open
Keywords: differential/integral equations; fractional-order equations; optimization algorithm; PDE-constrained optimization problem; fuzzy optimization
(This special issue belongs to the Section Mathematical Analysis)
Innovations in Geometric Modelling and CAD: Exploring Boundaries and Beyond submission deadline 1 Sep 2024 | 2 articles | Viewed by 3451 | Submission Open
Keywords: applied; discrete and computational geometry and topology; computer-aided design (CAD); digital twins; curve; surface and solid modelling; geometric modelling in arts; high-quality shapes; industrial and scientific applications; isogeometric analysis; mathematical design; mesh generation; non-polynomial curves and surfaces (spirals; log-aesthetic curves; GLACS; superspirals; quaternion curves; etc.); optical illusions; special functions in geometric modelling
(This special issue belongs to the Section Geometry and Topology)
New Approach Development for Stability Analysis of Nonlinear Time-Dependent Dynamics
edited by
submission deadline 24 Sep 2024 | 1 articles | Viewed by 1821 | Submission Open
Keywords: nonlinear dynamics; Lyapunov stability; control design; modelling; robotics; learning and optimization
(This special issue belongs to the Section Mathematical Physics)
Advances in Mathematical Optimization Algorithms and Its Applications
edited by
submission deadline 25 Sep 2024 | 4 articles | Viewed by 5620 | Submission Open
Keywords: optimization algorithms; swarm intelligence; bio-inspired algorithms; fuzzy logic; neural networks; collective intelligence; mathematical algorithms
(This special issue belongs to the Section Mathematical Analysis)
Advances in Geometry and Its Applications
edited by Nenad O. Vesić and
submission deadline 25 Sep 2024 | 1 articles | Viewed by 546 | 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)
On Marcinkiewicz Integrals
edited by
submission deadline 25 Sep 2024 | Viewed by 278 | Submission Open
Keywords: marcinkiewicz integrals; littlewood– paley g-functions; Lp boundedness; rough kernels
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Methods in Waves-Based Inverse Problems at Different Scales
edited by
submission deadline 26 Sep 2024 | 7 articles | Viewed by 7348 | Submission Open
Keywords: inverse problems; mathematical imaging; waves in complex media; integral equations; regularization; inverse scattering; shape reconstruction; parameter estimation; carleman estimates
(This special issue belongs to the Section Mathematical Analysis)
Recent Developments in Fuzzy Control Systems and Their Applications
edited by , Kaviarasan Boomipalagan and S. A. Karthick
submission deadline 26 Sep 2024 | 3 articles | Viewed by 3594 | Submission Open
Keywords: fuzzy modeling and its applications; takagi– Sugeno structures; interval type-2 fuzzy control systems; membership-function-dependent analysis; optimization-based fuzzy algorithm; stability/performance/robustness analysis of fuzzy control systems; industrial applications of fuzzy control systems
(This special issue belongs to the Section Logic)
Infinite Dynamical System and Differential Equations submission deadline 26 Sep 2024 | 5 articles | Viewed by 3292 | Submission Open
Keywords: infinite dynamical systems; global attractor; ODEs; PDEs; DDEs; operator semigroup theory; mathematical biology; population dynamics; mathematical epidemiology; nonlinear dynamical systems; non-autonomous systems; stability analysis; threshold dynamics; persistence theory; bifurcations and chaos; infectious diseases; optimal control theory; Stieltjes differential equations
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Graph Theory and Its Applications
edited by Fadekemi Osaye and Alex Alochukwu
submission deadline 26 Sep 2024 | Viewed by 301 | Submission Open
Keywords: graphs; networks; distances; spectra; hypergraphs
Advanced Approximation Techniques and Their Applications II
edited by
submission deadline 27 Sep 2024 | 4 articles | Viewed by 2604 | 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; methods 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)
Advances in Combinatorial Optimization and Discrete Mathematics with Applications submission deadline 30 Sep 2024 | 5 articles | Viewed by 5172 | Submission Open
Keywords: combinatorial optimization problems; combinatorics; mathematical programming; real-life applications; job shop scheduling; path planning; bin packing; resource allocation
(This special issue belongs to the Section Mathematical Analysis)
Time Series Analysis: Research on Data Modeling Methods
edited by Dehui Wang and Kai Yang
submission deadline 30 Sep 2024 | 4 articles | Viewed by 4512 | Submission Open
Keywords: time series model; statistic inference method; measurement error; interdisciplinary application; statistical research
(This special issue belongs to the Section Mathematical Analysis)
Advances in Fuzzy Logic and Multi-Criteria Decision Models submission deadline 30 Sep 2024 | 3 articles | Viewed by 4191 | Submission Open
Keywords: MCDM; SCM; fuzzy sets; fuzzy MCDM; application of fuzzy MCDM; group decision making
(This special issue belongs to the Section Mathematical Analysis)
Advances of Mathematical Modeling in Fluid Mechanics submission deadline 30 Sep 2024 | 2 articles | Viewed by 3345 | Submission Open
Keywords: fluid statics; power fluids; biofuels; nanofluids; microflow and nanoflow fluids; cooling system fluids; compressible flow; non-Newtonian fluids; flue gas flow; fluid flow in neural networks
(This special issue belongs to the Section Mathematical Analysis)
Advances in Mathematical Methods in Optimal Control and Applications
edited by Cristiana J. Silva
submission deadline 30 Sep 2024 | 3 articles | Viewed by 2571 | Submission Open
Keywords: optimal control problems; optimality conditions; control system; mathematical methods; applications
(This special issue belongs to the Section Mathematical Analysis)
New Trends in Discrete Probability and Statistics
edited by
submission deadline 30 Sep 2024 | 2 articles | Viewed by 1885 | Submission Open
Keywords: parametric discrete distributions; distributions associated with discrete orthogonal polynomials; empirical distributions; empirical processes
(This special issue belongs to the Section Mathematical Analysis)
Large-Scale Optimization and Variational Inequalities: Theory and Applications submission deadline 30 Sep 2024 | 1 articles | Viewed by 1801 | Submission Open
Keywords: proximal-like algorithms; augmented and modified Lagrangian methods; structural optimization; convex and nonconvex analysis; portfolio and financial optimization; structural optimization; variational inequalities
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Methods in Computer Science submission deadline 30 Sep 2024 | 1 articles | Viewed by 1569 | Submission Open
Keywords: algebra; fuzzy set theory; applications; machine learning; data science; perceptual comparison; decision-making; aggregation theory
(This special issue belongs to the Section Mathematical Analysis)
Advances in Portfolio Optimization: Theory and Applications submission deadline 30 Sep 2024 | Viewed by 1167 | Submission Open
Keywords: portfolio selection models; modeling and measuring risk; risk optimization; applications of methods and techniques of financial portfolio theory in non-financial domains; multi-objective portfolio models; assessment of portfolio performance
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Modelling of Fluid Dynamics
edited by
submission deadline 30 Sep 2024 | 1 articles | Viewed by 757 | Submission Open
Keywords: numerical methods; multiphase flows; combustion; high-speed compressible flows; incompressible flows; fluid– structure interactions; machine learning; aerospace engineering; chemical engineering
(This special issue belongs to the Section Mathematical Physics)
Fixed Point Theory and Its Applications
edited by and
submission deadline 30 Sep 2024 | Viewed by 383 | Submission Open
Keywords: fixed point theory; iterative methods; bilevel optimization problems; optimization problems on Hadamard manifold; monotone inclusion problems; optimization and control; optimization theory; methods; and applications; applications of fixed point theory and approaches
(This special issue belongs to the Section Mathematical Analysis)
Challenges and New Paradigms for Decision Support Systems
edited by Alberto Turón
submission deadline 30 Sep 2024 | Viewed by 346 | Submission Open
Keywords: decision support systems; artificial intelligence; deep learning; policy making; human– computer interaction
Numerical Methods and Approximation Theory
edited by Marius Birou, and
submission deadline 30 Sep 2024 | Viewed by 231 | Submission Open
Keywords: approximation by positive linear operators; degree of approximation; iterates of positive linear operators; interpolation operators; quadrature formulas; numerical algorithms; numerical methods for partial differential equations; fixed point theory; special functions in approximations; inequalities in approximations
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Statistical Modeling and Simulations with Applications, 2nd Edition
edited by
submission deadline 30 Sep 2024 | Viewed by 110 | 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)
Numerical Analysis and Optimization submission deadline 20 Oct 2024 | 8 articles | Viewed by 7618 | Submission Open
Keywords: unconstrained optimization; constrained optimization; optimization methods; iterative processes; gradient-descent methods; projection methods; line search; convergence rate; hybrid methods; linear matrix equations; nonlinear system of equations
(This special issue belongs to the Section Mathematical Analysis)
Computational Algebra, Coding Theory and Cryptography: Theory and Applications
edited by
submission deadline 20 Oct 2024 | 5 articles | Viewed by 5447 | Submission Open
Keywords: algebraic structures; coding theory; cryptography; linear codes; quantum codes; polycyclic codes; self-dual codes; Hermitian codes; quasicyclic codes; codes over rings
(This special issue belongs to the Section Algebra and Number Theory)
Advances in F-theories of Gravity submission deadline 22 Oct 2024 | Viewed by 419 | Submission Open
Keywords: f(R)-theory; f(R; T)-theory; teleparallel gravity; symmetries; observational constraints; alternative theories of gravity
(This special issue belongs to the Section Hilbert’s Sixth Problem)
Mathematics, Computer Graphics and Computational Visualizations
edited by Vesna Velickovic and
submission deadline 25 Oct 2024 | 3 articles | Viewed by 2863 | Submission Open
Keywords: visualization of abstract and complex concepts; computational methods; computational visualization; computer graphics; computer-aided design; computer-aided geometric design; curve; surface; and solid modeling; data visualization; geometric modeling; graphical representation; information visualization; mathematics in computer graphics; scientific visualization; simulation; visualization methods
Advances in Fuzzy Logic and Computational Intelligence submission deadline 25 Oct 2024 | 2 articles | Viewed by 2651 | Submission Open
Keywords: fuzzy logic; fuzzy systems; interval mathematics; lattice fuzzy logic; computational intelligence systems; logic; interval; lattice; systems
(This special issue belongs to the Section Logic)
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