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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Financial Mathematics and Econophysics submission deadline 1 Dec 2024 | 2 articles | Viewed by 4859 | Submission Open
Keywords: financial mathematics; econophysics; quantitative finance; machine Learning; high-frequency data; complex data sets
(This special issue belongs to the Section Mathematical Analysis)
Interdisciplinary Applications of Dynamical Systems
edited by Shibabrat Naik
submission deadline 19 Dec 2024 | Viewed by 93 | Submission Open
Keywords: nonlinear dynamics; dynamical system theory; ODEs; PDEs; DDEs; periodic orbits; invariant manifolds; stability analysis; system identification; global bifurcation and chaos; geometric view of dynamics; applied dynamical systems
(This special issue belongs to the Section Mathematical Analysis)
Advances in Generalized Hypergeometric Functions, Integral Transforms and Number Theory
edited by , and Arjun Kumar Rathie
submission deadline 20 Dec 2024 | 13 articles | Viewed by 17778 | 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
(This special issue belongs to the Section Mathematical Analysis)
Axioms and Methods for Handling Differential Equations and Inverse Problems
edited by Zoltán Vizvári, Mihály Klincsik, Robert Kersner, , Zoltán Sári and
submission deadline 20 Dec 2024 | 2 articles | Viewed by 3396 | Submission Open
Keywords: symbolic mathematical methods; ordinary differential equations; partial differential equations; singular differential equations; non-linear differential equation; inverse problems
(This special issue belongs to the Section Mathematical Analysis)
Current Perspectives in Fractional Calculus: Theory, Methods, and Applications
edited by José Villa-Morales
submission deadline 20 Dec 2024 | 1 articles | Viewed by 713 | Submission Open
Keywords: fractional view analysis in life sciences; applications of fractional calculus to biological systems; recent developments of fractional theory; fractional differential equations; chaos and bifurcation in fractional systems; analytic approaches in fractional calculus; computational analysis of natural systems; biomedical applications of fractional calculus; fractional molecular cellular dynamics; numerical methods for fractional systems
(This special issue belongs to the Section Mathematical Analysis)
Methods and Applications of Advanced Statistical Analysis, 2nd Edition
edited by
submission deadline 23 Dec 2024 | Viewed by 167 | Submission Open
Keywords: application of statistics; causal analysis; classification and clustering; data analysis; linear and nonlinear models; mixed modeling; nonparametric statistics; regression and analysis of variance; robust statistics; time series
(This special issue belongs to the Section Mathematical Analysis)
Research on Functional Analysis and Its Applications
edited by
submission deadline 25 Dec 2024 | 6 articles | Viewed by 3682 | Submission Open
Keywords: quaternion analysis; mathematical physics; computational methods; partial differential equations; several complex analysis
(This special issue belongs to the Section Mathematical Analysis)
Advances in Nonlinear Analysis and Boundary Value Problems submission deadline 27 Dec 2024 | 6 articles | Viewed by 5779 | 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)
Advances in Stochastic Processes and Stochastic Differential Equations
edited by Nikos Halidias
submission deadline 27 Dec 2024 | 3 articles | Viewed by 4356 | Submission Open
Keywords: stochastic processes; Markov processes; diffusion processes; queueing theory; queues; financial mathematics; Stochastic Differential Equations; Differential Equations
(This special issue belongs to the Section Mathematical Analysis)
Advances in Functional and Topological Data Analysis submission deadline 27 Dec 2024 | 3 articles | Viewed by 1925 | Submission Open
Keywords: Functional data analysis; Topological data analysis; Model uncertainty; Applications of operator theory in statistics; Applications of topology in statistics; Goodness-of-fit metrics for regression models; Goodness-of-fit metrics for parameters' estimation; Space data analysis; Metric spaces and manifolds in statistics and econometrics
(This special issue belongs to the Section Mathematical Analysis)
The Nature and Future of Axiomatic Systems submission deadline 27 Dec 2024 | Viewed by 477 | Submission Open
Keywords: axiomatic systems; theorem proving; artificial intelligence; mathematical logic; mathematics education
(This special issue belongs to the Section Hilbert’s Sixth Problem)
The Pythagorean Heritage: From Number Theory and Combinatorics to Artificial Intelligence submission deadline 30 Dec 2024 | 8 articles | Viewed by 7910 | 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)
Advances in Differential Geometry and Mathematical Physics
edited by
submission deadline 30 Dec 2024 | 6 articles | Viewed by 6043 | 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)
Advances in Mathematical Methods in Signal Processing and Its Applications
edited by
submission deadline 30 Dec 2024 | 4 articles | Viewed by 5318 | Submission Open
Keywords: computer vision; medical imaging; speech and natural language processing; human– computer interaction (HCI); sparse signal processing; genomic signal processing; networks of sensors; Internet of Things (IoT); phased radar arrays; cellular networks
(This special issue belongs to the Section Mathematical Analysis)
Fixed Point Theory and Its Related Topics IV
edited by
submission deadline 31 Dec 2024 | 17 articles | Viewed by 19556 | Submission Open
Keywords: fixed point; best proximity point; equilibrium; cauchy sequences; completeness; game theory
(This special issue belongs to the Section Mathematical Analysis)
Reliability and Risk of Complex Systems: Modelling, Analysis and Optimization submission deadline 31 Dec 2024 | 15 articles | Viewed by 16598 | Submission Open
Keywords: reliability modelling; optimization; risk analysis; statistical methods; degradation modelling; prognostics and health management; machine learning; uncertainty quantification; Bayesian methods
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Functional Analysis and Operator Theory
edited by and
submission deadline 31 Dec 2024 | 8 articles | Viewed by 8757 | Submission Open
Keywords: norm of operators; bounded operators; compact operators; commutants of operators; special operators (Hausdorff; Hilbert; Cesaro; backward/forward difference operator; weighted mean; Norlund; L-matrices; etc.); factorization of operators; composition of operators; spectrum of operators; sequence spaces; summability
(This special issue belongs to the Section Mathematical Analysis)
Applied Nonlinear Dynamical Systems in Mathematical Physics
edited by
submission deadline 31 Dec 2024 | 7 articles | Viewed by 7387 | Submission Open
Keywords: nonlinear equations of mathematical physics; nonlinear schrodinger equation; difference equations and functional equations in mathematical physics; (lie) group theoretic methods for the solution of differential and difference equations; lie-algebraic characterizations of integrability; tensor poisson structures; classical and quantum many-body problems; geometry and algebra of nonlinear equations; integrability in gauge and string theory; symmetries and invariants in mathematical physics; quasi-exactly solvable models in quantum mechanics; nonlinear stability of black hole space-times; complex fluids; nonlinear waves; nonlinear optics; numerical simulations in mathematical physics  
(This special issue belongs to the Section Mathematical Physics)
Recent Advances in Fractional Differential Equations and Inequalities
edited by , Johnny Henderson and
submission deadline 31 Dec 2024 | 7 articles | Viewed by 6967 | Submission Open
Keywords: fractional differential equations; fractional differential inclusions; fractional integral inequalities; quantum integral inequalities; fractional initial value problems; fractional boundary value problems; fractional order nonlinear systems; fractional integral equations
(This special issue belongs to the Section Mathematical Analysis)
Numerical Computation, Approximation of Functions and Applied Mathematics, 2nd Edition
edited by
submission deadline 31 Dec 2024 | 7 articles | Viewed by 5946 | Submission Open
Keywords: approximation of functions; numerical computation; computational complexity; optimization; machine learning; signal processing
(This special issue belongs to the Section Mathematical Analysis)
Numerical Analysis and Applied Mathematics
edited by
submission deadline 31 Dec 2024 | 5 articles | Viewed by 5781 | Submission Open
Keywords: numerical algorithms; iterative methods; convergence analysis; numerical stability; computational efficiency; error analysis; operator equations; dynamical systems; real-world applications
(This special issue belongs to the Section Mathematical Analysis)
Decision-Making Modeling and Optimization
edited by , and
submission deadline 31 Dec 2024 | 3 articles | Viewed by 4657 | Submission Open
Keywords: decision making with complex forms of information expression; such as probabilities; fuzzy sets; rough sets; linguistic terms; preference relations; random variables; etc.; decision making with multi-objective optimization; decision making under social networks; decision making involving large-scale decision-makers; collaborative decision making and consensus decision making; decision support systems and business analytics; decision-making models with game theory; decision making considering risk attributes; decision making for practical applications in economics; management; engineering; healthcare; etc.; decision making related to the latest information technologies; such as big data; artificial intelligence; cloud computing; etc.
(This special issue belongs to the Section Mathematical Analysis)
New Perspectives in Applied Mathematics with Nonlinear Equations and Dynamical Systems
edited by
submission deadline 31 Dec 2024 | 8 articles | Viewed by 4455 | Submission Open
Keywords: iterative methods; numerical analysis; semi-local convergence; dynamical behavior; optimal-order iterative methods; higher-order methods
(This special issue belongs to the Section Mathematical Analysis)
Analysis of Mathematical Inequalities submission deadline 31 Dec 2024 | 5 articles | Viewed by 3647 | Submission Open
Keywords: fuzzy integral inequalities; generalized convexity; quantum calculus; fuzzy fractional calculus; interval-valued calculus; multivariate analysis; means; operator theory; approximation theory
(This special issue belongs to the Section Mathematical Analysis)
New Developments in Analysis of Variational Inequalities and Related Fields
edited by
submission deadline 31 Dec 2024 | 3 articles | Viewed by 3273 | Submission Open
Keywords: variational inequalities; integral inequalities; variational models; optimal control; generalized convexity; generalized differentiability; optimization problems
(This special issue belongs to the Section Mathematical Analysis)
Orthogonal Polynomials, Special Functions and Applications: 2nd Edition submission deadline 31 Dec 2024 | 3 articles | Viewed by 3237 | 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)
Recent Advances in Representation Theory with Applications
edited by Ivan Matić
submission deadline 31 Dec 2024 | 3 articles | Viewed by 2827 | Submission Open
Keywords: representations of reductive groups; automorphic forms; modular forms; L-functions; Lie algebras and their representations; representations of Clifford algebras; representations of finite groups; harmonic analysis on groups of the Lie type; unitary representations; applications of representation theory
(This special issue belongs to the Section Algebra and Number Theory)
Recent Advances in Complex Analysis and Related Topics
edited by
submission deadline 31 Dec 2024 | 4 articles | Viewed by 2080 | Submission Open
Keywords: entire functions of several variables; analytic functions of several variables; growth estimates; applications of complex analysis; unit ball; unit polydisc; Reinhardt domain; geometric function theory; meromorphic functions; regular functions; Nevanlinna theory; Dirichlet series; slice holomorphic functions; entire curves; vector-valued entire functions
(This special issue belongs to the Section Mathematical Analysis)
General Topology and Fuzzy Topology submission deadline 31 Dec 2024 | 2 articles | Viewed by 2055 | Submission Open
Keywords: general topology; covering properties; paracompactness; fuzzy topology; intuitionistic fuzzy topological spaces; neutrosophic topology
(This special issue belongs to the Section Geometry and Topology)
Recent Advances in Mathematical Modeling of COVID-19 and Other Infectious Diseases
edited by Nedyu Popivanov and
submission deadline 31 Dec 2024 | 1 articles | Viewed by 1308 | Submission Open
Keywords: COVID-19; mathematical modeling; infectious diseases; population dynamics; integer-order models; fractional-order models; partial differential equations; ordinary differential equations; parameter identification methodologies; inverse problems; computer simulation
(This special issue belongs to the Section Mathematical Analysis)
Recent Research on Functions with Non-Independent Variables
edited by Matieyendou Lamboni
submission deadline 31 Dec 2024 | 1 articles | Viewed by 1132 | Submission Open
Keywords: non-independent variable; model development; mathematical and statistic modeling; classical probability; derivatives; conditional distribution method; dependency models; simulating dependent variables; optimization
(This special issue belongs to the Section Mathematical Analysis)
Advances in Applied Algebra and Related Topics
edited by Filipa Soares de Almeida and
submission deadline 31 Dec 2024 | 1 articles | Viewed by 608 | 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 Variables in Quantum Gravity
edited by
submission deadline 31 Dec 2024 | Viewed by 343 | Submission Open
Keywords: integral transforms; quantum field theory; quantum gravity; complex mappings
(This special issue belongs to the Section Mathematical Physics)
Geometric Capacity Theory
edited by , Tuo Wang and Ning Zhang
submission deadline 31 Dec 2024 | Viewed by 255 | Submission Open
Keywords: Hausdorff capacity; Hausdorff measure; functional capacity; variational capacity; potential-theoretic capacity; energy– flow– flux– mass; mean curvature; scalar curvature; Ricci curvature; evolutionary PDE; stationary PDE
(This special issue belongs to the Section Geometry and Topology)
Recent Advances in Differentiable Manifolds
edited by Kazuhiro Sakuma
submission deadline 31 Dec 2024 | Viewed by 173 | Submission Open
Keywords: algebraic varieties; solutions of system of polynomial equations; Riemannian geometry; symplectic geometry; conformal geometry; gauge theory; differential topology; algebraic topology; singularity theory of differentiable maps
(This special issue belongs to the Section Geometry and Topology)
Advances in Functional Analysis: Theoretical Results and Applications to Statistical Inference and Entropy
edited by Răzvan-Cornel Sfetcu and
submission deadline 31 Dec 2024 | Viewed by 168 | Submission Open
Keywords: functional analysis; statistical inference; information theory; entropy; divergence measure; survival analysis; actuarial science
(This special issue belongs to the Section Mathematical Analysis)
General Relativity: From Differential Geometry to Gravitational Waves submission deadline 31 Dec 2024 | Viewed by 150 | Submission Open
Keywords: general relativity; differential geometry; gravitational waves; conformal geometry
(This special issue belongs to the Section Mathematical Physics)
Advances in Mathematical Modeling and Related Topics
edited by En-Bing Lin
submission deadline 31 Dec 2024 | Viewed by 115 | Submission Open
Keywords: mathematical modeling; numerical methods for PDEs; AI and machine learning models; wavelet analysis in time-series forecasting; mathematical models of tumor growth
(This special issue belongs to the Section Mathematical Analysis)
Advances in Dynamical Systems and Control submission deadline 20 Jan 2025 | 7 articles | Viewed by 7671 | Submission Open
(This special issue belongs to the Section Mathematical Analysis)
Theory of Functions and Applications II
edited by
submission deadline 20 Jan 2025 | 7 articles | Viewed by 5733 | Submission Open
Keywords: theory of functions of a real variable; approximation theory; asymptotic analysis; approximation of solutions of differential and integral equations; trigonometric polynomials; inequalities; and extremal problems; harmonic analysis; theory of functions of complex variables; analytic functions and their generalizations; entire and meromorphic functions; applications involving function theory of real and complex analyses
(This special issue belongs to the Section Mathematical Analysis)
Trends in Fixed Point Theory and Fractional Calculus submission deadline 20 Jan 2025 | 5 articles | Viewed by 3244 | Submission Open
Keywords: fractional calculus; functional analysis; fixed points; nonlinear operator theory; variational inequalities; numerical analysis and algorithms; functional equations and stability; ordinary and partial differential equations; integral equations; calculus of variation; wavelet analysis; computational fluid dynamics
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Methods in the Applied Sciences, 2nd Edition submission deadline 20 Jan 2025 | Viewed by 574 | 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)
Advances in Fuzzy Preference Relations and Decision-Making Methods with Applications submission deadline 27 Jan 2025 | 10 articles | Viewed by 12671 | 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)
Advancements in Applied Mathematics and Computational Physics
edited by and Branislav Vlahovic
submission deadline 28 Jan 2025 | 7 articles | Viewed by 4764 | Submission Open
Keywords: applied mathematics; computational physics; experimental and theoretical physics; physical electronics; algebra
(This special issue belongs to the Section Mathematical Physics)
Differential Equations and Related Topics, 2nd Edition submission deadline 28 Jan 2025 | 3 articles | Viewed by 1453 | 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)
Recent Advances in Applied Mathematics and Artificial Intelligence
edited by and Yining Xie
submission deadline 29 Jan 2025 | 3 articles | Viewed by 3414 | Submission Open
Keywords: mathematical model; dynamic system; local and global dynamics; machine learning; learning algorithms; pattern recognition; data filtering and transformation; feature extraction and analysis; deep learning algorithm
Advances in Mathematical Modeling, Analysis and Optimization submission deadline 29 Jan 2025 | 2 articles | Viewed by 2529 | Submission Open
Keywords: mathematical modeling; complex system; system analysis; optimization; operations research; computational intelligence; machine learning; data science
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Modeling and Control: Theory and Applications
edited by Guangying Lv and
submission deadline 29 Jan 2025 | Viewed by 218 | 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)
Mathematical Analysis and Applications IV submission deadline 30 Jan 2025 | 10 articles | Viewed by 12422 | 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 Tools and Techniques Applicable to Probability Theory and Statistics II submission deadline 30 Jan 2025 | 6 articles | Viewed by 10079 | Submission Open
Keywords: mathematical (or higher transcendental) functions and their applications in probability theory and statistics; probabilistic derivations and applications of generating functions; the notion of statistical convergence and related developments; stochastic and martingale sequences and associated approximation theorems; statistical inference; statistical mechanics and related areas; summability theory and statistical applications
(This special issue belongs to the Section Mathematical Analysis)
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