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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Mathematical and Statistical Methods and Their Applications
edited by and
submission deadline 19 Jul 2024 | 12 articles | Viewed by 12955 | Submission Open
Keywords: mathematical methods; mathematical statistics; applications; stochastic processes
(This special issue belongs to the Section Mathematical Analysis)
Advances in Dynamical Systems and Control submission deadline 20 Jul 2024 | 6 articles | Viewed by 6024 | Submission Open
(This special issue belongs to the Section Mathematical Analysis)
Advances in Numerical Analysis and Meshless Methods
edited by
submission deadline 20 Jul 2024 | 1 articles | Viewed by 1927 | Submission Open
Keywords: meshless method; radial basis function; colocation; radial basis functions(RBF); collocation method; numerical partial differential equations; approximation theory; mathematical modeling
(This special issue belongs to the Section Mathematical Analysis)
Computational and Mathematical Methods in Science and Engineering II submission deadline 22 Jul 2024 | 1 articles | Viewed by 2002 | Submission Open
(This special issue belongs to the Section Mathematical Analysis)
Stochastic Modeling and Analysis with Multiple Applications
edited by and
submission deadline 25 Jul 2024 | 1 articles | Viewed by 1478 | Submission Open
Keywords: probability theory; stochastic models; Markov and semi-Markov models; stochastic epidemiology; information theory; machine learning
(This special issue belongs to the Section Mathematical Analysis)
Fractional Calculus - Theory and Applications II submission deadline 29 Jul 2024 | 12 articles | Viewed by 13691 | Submission Open
Keywords: fractional-order differential/integral equations; existence and regularity of solutions; numerical methods for fractional equations; analysis of convergence and stability; applications to science and technology
(This special issue belongs to the Section Mathematical Analysis)
Advances in Fuzzy Preference Relations and Decision-Making Methods with Applications submission deadline 29 Jul 2024 | 10 articles | Viewed by 10575 | Submission Open
Keywords: fuzzy set theory; fuzzy preference relation; group decision making; decision support system; multi-criteria decision making; consistency
(This special issue belongs to the Section Mathematical Analysis)
The Pythagorean Heritage: From Number Theory and Combinatorics to Artificial Intelligence submission deadline 29 Jul 2024 | 6 articles | Viewed by 6150 | Submission Open
Keywords: number theory; combinatorics; sequences of integers; Pythagorean triples; Pythagorean fields; Fibonacci numbers; combinatorics on words; unimaginable numbers; graph theory; group theory; commutative algebra; elliptic curves; cryptography; artificial intelligence
(This special issue belongs to the Section Algebra and Number Theory)
Recent Advances in Special Functions and Applications
edited by
submission deadline 30 Jul 2024 | 6 articles | Viewed by 5340 | Submission Open
Keywords: integral transform in function space; Fourier– Feynman transform; integral transform for physical models; high-dimensional transform with applications; dimension reduction of high-dimensional transform; transform and differential equations
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances of Computational and Mathematical Applications in Deep Learning
edited by , Marko Janev and Lazar Kopanja
submission deadline 30 Jul 2024 | 1 articles | Viewed by 1652 | Submission Open
Keywords: deep learning; neural networks; generative models; autoencoders; reinforcement learning; transfer learning; style translation; object recognition; signal processing; optimization
(This special issue belongs to the Section Mathematical Analysis)
Theory and Application of Integral Inequalities submission deadline 30 Jul 2024 | 2 articles | Viewed by 1541 | 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; means
(This special issue belongs to the Section Mathematical Analysis)
Advances in Differential Geometry and Singularity Theory submission deadline 31 Jul 2024 | 19 articles | Viewed by 17888 | Submission Open
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 9898 | Submission Open
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 8480 | Submission Open
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 4522 | Submission Open
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)
Fractional Calculus and Its Applications: Historical and Recent Developments
edited by and Cristiana J. Silva
submission deadline 1 Aug 2024 | 2 articles | Viewed by 1311 | Submission Open
Keywords: fractional integrals and derivatives; history of fractional calculus; fractional ordinary and partial differential equations; properties of solutions; mathematical modelling involving fractional ODEs and PDEs calculus; numerical methods; applications
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Models and Simulations II
edited by
submission deadline 20 Aug 2024 | 2 articles | Viewed by 1321 | 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 22776 | 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 6771 | 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 5854 | 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 1520 | 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 10242 | 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 | 8 articles | Viewed by 8302 | 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)
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 2957 | 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
The Numerical Analysis and Its Application
edited by Janis Bajars
submission deadline 29 Aug 2024 | 3 articles | Viewed by 2780 | 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)
Stochastic Modeling and Its Analysis
edited by and
submission deadline 29 Aug 2024 | 3 articles | Viewed by 2131 | 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 283 | 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 | 10 articles | Viewed by 9638 | 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 2242 | 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 | 5 articles | Viewed by 3830 | 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 | 2 articles | Viewed by 1586 | 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 1483 | 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 191 | 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 3263 | 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 1731 | 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 5316 | 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 482 | 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 263 | 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 7077 | 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 3331 | 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 | 4 articles | Viewed by 2530 | 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 252 | Submission Open
Keywords: graphs; networks; distances; spectra; hypergraphs
Advanced Approximation Techniques and Their Applications II
edited by
submission deadline 27 Sep 2024 | 3 articles | Viewed by 1978 | 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 | 4 articles | Viewed by 4698 | 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 4259 | 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 3993 | 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 3224 | 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 2356 | Submission Open
Keywords: optimal control problems; optimality conditions; control system; mathematical methods; applications
(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 1738 | 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)
New Trends in Discrete Probability and Statistics
edited by
submission deadline 30 Sep 2024 | 2 articles | Viewed by 1722 | 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)
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