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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Recent Advances in Functional Analysis and Operator Theory
edited by and
submission deadline 30 Jun 2025 | 12 articles | Viewed by 14078 | 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)
New Perspectives in Applied Mathematics with Nonlinear Equations and Dynamical Systems
edited by
submission deadline 30 Jun 2025 | 11 articles | Viewed by 11684 | 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)
Numerical Computation, Approximation of Functions and Applied Mathematics, 2nd Edition
edited by
submission deadline 30 Jun 2025 | 8 articles | Viewed by 10138 | Submission Open
Keywords: approximation of functions; numerical computation; computational complexity; optimization; machine learning; signal processing
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Fractional Differential Equations and Inequalities
edited by , Johnny Henderson and
submission deadline 30 Jun 2025 | 7 articles | Viewed by 10049 | 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)
Advances in Mathematical Methods in Signal Processing and Its Applications
edited by
submission deadline 30 Jun 2025 | 4 articles | Viewed by 8694 | 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)
Research on Functional Analysis and Its Applications
edited by
submission deadline 30 Jun 2025 | 7 articles | Viewed by 7044 | Submission Open
Keywords: quaternion analysis; mathematical physics; computational methods; partial differential equations; several complex analysis
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Representation Theory with Applications
edited by Ivan Matić
submission deadline 30 Jun 2025 | 4 articles | Viewed by 5391 | 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)
Current Perspectives in Fractional Calculus: Theory, Methods, and Applications
edited by José Villa-Morales
submission deadline 30 Jun 2025 | 4 articles | Viewed by 3081 | 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)
Advanced Approximation Techniques and Their Applications, 2nd Edition
edited by
submission deadline 29 Jul 2025 | 10 articles | Viewed by 11072 | 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)
Applied Nonlinear Dynamical Systems in Mathematical Physics
edited by
submission deadline 31 Jul 2025 | 11 articles | Viewed by 12595 | 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)
Advancements in Applied Mathematics and Computational Physics
edited by and Branislav Vlahovic
submission deadline 31 Jul 2025 | 13 articles | Viewed by 11650 | 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 Nonlinear Analysis and Boundary Value Problems submission deadline 31 Jul 2025 | 7 articles | Viewed by 9556 | 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)
Trends in Fixed Point Theory and Fractional Calculus submission deadline 31 Jul 2025 | 9 articles | Viewed by 8224 | 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)
New Developments in Geometric Function Theory, 3rd Edition
edited by
submission deadline 31 Jul 2025 | 10 articles | Viewed by 8141 | Submission Open
Keywords: analytic function; univalent function; harmonic function; meromorphic function; differential subordination; differential superordination; differential operator; integral operator; fractional operator; q-operator; special functions
(This special issue belongs to the Section Mathematical Analysis)
New Theory and Applications of Nonlinear Analysis, Fractional Calculus and Optimization, 2nd Edition
edited by
submission deadline 31 Jul 2025 | 6 articles | Viewed by 5243 | Submission Open
Keywords: functional analysis; fixed point theory and its applications; set-valued analysis; critical point theory; matrix theory; convex analysis; fractional differential equation; well-posedness of fractional system; fractional epidemic model; non-smooth analysis and optimization; graph theory and optimization; stability analysis; dynamics and chaos; machine learning; artificial neural networks
(This special issue belongs to the Section Mathematical Analysis)
Special Functions and Related Topics
edited by and Miomir Stankovic
submission deadline 31 Jul 2025 | 6 articles | Viewed by 4146 | Submission Open
Keywords: Gamma function; Riemann zeta and related functions; Hurwitz zeta function; Psi (Digamma) function; Pochammer symbol; Gauss hypergeometric function; Bessel and related functions; Bernoulli numbers and polynomials; harmonic numbers; Schlö milch series
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Methods in the Applied Sciences, 2nd Edition submission deadline 31 Jul 2025 | 3 articles | Viewed by 3379 | 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)
Complex Networks and Dynamical Systems
edited by Shang Gao, Chunmei Zhang and Ying Guo
submission deadline 31 Jul 2025 | 4 articles | Viewed by 2536 | 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)
Advances in Graph Theory with Its Applications
edited by Manuel Ceballos and
submission deadline 31 Jul 2025 | 2 articles | Viewed by 808 | Submission Open
Keywords: graph theory; graph algorithms; network analysis; structural graph properties; computational geometry; graph applications; interdisciplinary mathematics; optimization; modeling
(This special issue belongs to the Section Mathematical Analysis)
Applications in Harmonic Analysis
edited by and Guanghui Lu
submission deadline 31 Jul 2025 | 1 articles | Viewed by 545 | Submission Open
Keywords: function space; operator; commutator; boundedness; compactness
Trends in Dynamical Systems and Applied Mathematics
edited by and Sandra Maria Santos Vinagre
submission deadline 31 Jul 2025 | 1 articles | Viewed by 403 | Submission Open
Keywords: mathematical modeling; dynamical systems; nonlinear systems; theory of singularities; fixed point theory; bifurcation theory; complex systems; iteration theory; topological dynamics; ergodic theory; symbolic dynamics; population dynamics; embedding problems; networks; synchronization; simulation; chaos; functional equations
(This special issue belongs to the Section Mathematical Analysis)
Applied Number Theory to Cryptography and Coding Theory
edited by Iván Blanco Chacón
submission deadline 31 Jul 2025 | Viewed by 186 | Submission Open
Keywords: applied number theory; arithmetic lattices; lattice-based cryptography; factoring; coding theory; space– time block codes; zeta functions of codes
(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 31 Jul 2025 | Viewed by 145 | 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)
Differential Equations and Related Topics, 2nd Edition submission deadline 29 Aug 2025 | 9 articles | Viewed by 7394 | 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 Modeling and Control: Theory and Applications
edited by Guangying Lv and
submission deadline 29 Aug 2025 | Viewed by 635 | Submission Open
Keywords: stochastic control; multi-agent systems; optimal control; stochastic (partial) differential equations; fractional differential equations; machine learning
(This special issue belongs to the Section Mathematical Analysis)
Difference, Functional, and Related Equations, 2nd Edition
edited by Ravi Shankar and
submission deadline 29 Aug 2025 | 1 articles | Viewed by 399 | 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)
Advances in Mathematical Models and Applications
edited by Juan Pablo Gutiérrez-Jara and Fernando Córdova-Lepe
submission deadline 30 Aug 2025 | 2 articles | Viewed by 780 | 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)
Advances in Fuzzy Preference Relations and Decision-Making Methods with Applications submission deadline 31 Aug 2025 | 10 articles | Viewed by 18395 | 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)
Recent Progress in Computational Fluid Dynamics
edited by Satyvir Singh
submission deadline 31 Aug 2025 | 3 articles | Viewed by 2773 | 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
New Perspectives in Operator Theory and Functional Analysis
edited by
submission deadline 31 Aug 2025 | 4 articles | Viewed by 2442 | Submission Open
Keywords: operator theory; functional analysis; linear operator; nonlinear operator; operator algebras
(This special issue belongs to the Section Mathematical Analysis)
Modern Trends and Application of Decision-Making Theory, Stability and Control
edited by and Oleksiy V. Kapustyan
submission deadline 31 Aug 2025 | 4 articles | Viewed by 2434 | Submission Open
Keywords: nonlinear systems; stability; perturbation; impulsive systems; approximation; numerical methods; control; decision making theory; machine learning
Advances in Applied Algebra and Related Topics
edited by Filipa Soares de Almeida and
submission deadline 31 Aug 2025 | 4 articles | Viewed by 2186 | 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)
New Perspectives in Lie Algebras submission deadline 31 Aug 2025 | 2 articles | Viewed by 1988 | 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)
Theory and Application of Integral Inequalities, 2nd Edition
edited by
submission deadline 31 Aug 2025 | 3 articles | Viewed by 1145 | 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)
Reliability and Risk of Complex Systems: Modelling, Analysis and Optimization, 2nd Edition submission deadline 31 Aug 2025 | 1 articles | Viewed by 662 | Submission Open
Keywords: reliability modelling; optimization; risk analysis; statistical methods; degradation modelling; machine learning; uncertainty quantification; bayesian methods
Advances in Functional Analysis: Theoretical Results and Applications to Statistical Inference and Entropy
edited by Răzvan-Cornel Sfetcu and
submission deadline 31 Aug 2025 | Viewed by 391 | 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)
Infinite Dynamical System and Differential Equations submission deadline 29 Sep 2025 | 8 articles | Viewed by 9447 | 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)
Mathematical Analysis and Applications IV submission deadline 30 Sep 2025 | 11 articles | Viewed by 18436 | 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)
Advances in Mathematical Optimization Algorithms and Its Applications
edited by
submission deadline 30 Sep 2025 | 8 articles | Viewed by 13274 | 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 Differential Equations and Its Applications submission deadline 30 Sep 2025 | 12 articles | Viewed by 11471 | 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 30 Sep 2025 | 7 articles | Viewed by 8447 | 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)
Advances in Differential Geometry and Singularity Theory, 2nd Edition submission deadline 30 Sep 2025 | 10 articles | Viewed by 6756 | Submission Open
Keywords: singularity theory; morse theory; singularities; singular submanifolds; light-like submanifolds; differentiable manifolds; submanifold theory; legendrian duality; front and frontal
(This special issue belongs to the Section Geometry and Topology)
Probability, Statistics and Estimations, 2nd Edition submission deadline 30 Sep 2025 | 6 articles | Viewed by 4868 | Submission Open
Keywords: survival analysis; cure rate model; distribution theory; regression models; machine learning; applied statistics; Bayesian statistics
(This special issue belongs to the Section Mathematical Analysis)
Applied Mathematics and Mathematical Modeling submission deadline 30 Sep 2025 | 3 articles | Viewed by 4357 | 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)
Fractal Analysis and Mathematical Integration
edited by Donatella Bongiorno and
submission deadline 30 Sep 2025 | 3 articles | Viewed by 3303 | Submission Open
Keywords: fractal analysis; fractal calculus; measure theory; mathematical integration; fractal subsets
(This special issue belongs to the Section Mathematical Analysis)
Advances in Fuzzy Logic with Applications
edited by Diego García-Zamora and Juan Martínez-Moreno
submission deadline 30 Sep 2025 | 4 articles | Viewed by 2592 | Submission Open
Keywords: decision-making; fuzzy logic; aggregation operators; uncertainty modeling; approximate reasoning; fuzzy metric spaces
(This special issue belongs to the Section Logic)
Advances in Nonlinear Analysis and Numerical Modeling
edited by and Cosmin Dănuț Barbu
submission deadline 30 Sep 2025 | 2 articles | Viewed by 672 | Submission Open
Keywords: modeling; simulation and optimization; nonlinear analysis; perturbations; parameter estimations
(This special issue belongs to the Section Mathematical Physics)
Advances in Fuzzy Logic and Fuzzy Implications submission deadline 30 Sep 2025 | Viewed by 423 | 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
Recent Developments in Differential Geometry and Its Applications
edited by Yanhua Yu, and Yun Yang
submission deadline 30 Sep 2025 | Viewed by 107 | 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)
Mathematical Foundations and Their Applications in Optical Sciences submission deadline 30 Sep 2025 | Viewed by 97 | 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)
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