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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New Perspectives in Applied Mathematics with Nonlinear Equations and Dynamical Systems
edited by
submission deadline 30 Jun 2025 | 10 articles | Viewed by 9378 | 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)
Recent Advances in Fractional Differential Equations and Inequalities
edited by , Johnny Henderson and
submission deadline 30 Jun 2025 | 7 articles | Viewed by 9237 | 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 30 Jun 2025 | 8 articles | Viewed by 8831 | Submission Open
Keywords: approximation of functions; numerical computation; computational complexity; optimization; machine learning; signal processing
(This special issue belongs to the Section Mathematical Analysis)
Advances in Geometric Function Theory and Related Topics
edited by , Grigore Stefan Salagean and
submission deadline 30 Jun 2025 | 9 articles | Viewed by 8588 | Submission Open
Keywords: univalent functions; bi-univalent functions; harmonic complex functions; differential operators; integral operator; fractional operator; coefficient estimates; differential subordination; differential superordination; quantum calculus; fuzzy differential subordinations and superordinations; several complex variables
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Cosmology submission deadline 30 Jun 2025 | 5 articles | Viewed by 8513 | Submission Open
(This special issue belongs to the Section Mathematical Physics)
Advances in Mathematical Methods in Signal Processing and Its Applications
edited by
submission deadline 30 Jun 2025 | 4 articles | Viewed by 7574 | 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)
Differential Equations and Its Application
edited by Yuting Ding, Feng Li and
submission deadline 30 Jun 2025 | 7 articles | Viewed by 6458 | Submission Open
Keywords: mathematical model; dynamic system; bifurcation; chaos; normal form
(This special issue belongs to the Section Mathematical Analysis)
Research on Functional Analysis and Its Applications
edited by
submission deadline 30 Jun 2025 | 6 articles | Viewed by 5884 | 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 Complex Analysis and Related Topics
edited by
submission deadline 30 Jun 2025 | 7 articles | Viewed by 5488 | 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)
Recent Advances in Representation Theory with Applications
edited by Ivan Matić
submission deadline 30 Jun 2025 | 4 articles | Viewed by 4671 | 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 | 2 articles | Viewed by 2122 | 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)
Advances in Linear Algebra with Applications, 2nd Edition submission deadline 30 Jun 2025 | 3 articles | Viewed by 1012 | 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)
Complex Variables in Quantum Gravity
edited by
submission deadline 30 Jun 2025 | Viewed by 794 | Submission Open
Keywords: integral transforms; quantum field theory; quantum gravity; complex mappings
(This special issue belongs to the Section Mathematical Physics)
Numerical Analysis, Approximation Theory and Related Topics
edited by Rada Mutavdžić Đukić and
submission deadline 30 Jun 2025 | Viewed by 324 | Submission Open
Keywords: numerical analysis; numerical linear algebra; special functions; approximation theory; applied mathematics
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Fuzzy Theory Applications
edited by Rédina Berkachy and
submission deadline 30 Jun 2025 | Viewed by 268 | Submission Open
Keywords: computational intelligence; fuzzy logic; fuzzy decision-making; fuzzy mathematics; fuzzy optimisation; fuzzy set theory; fuzzy statistics; fuzzy theory applications; uncertainty modelling; fuzzy systems and models
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Mathematical Optimization and Related Topics
edited by Alberto Luque-Chang and Jorge Gálvez
submission deadline 30 Jun 2025 | Viewed by 229 | Submission Open
Keywords: optimization; artificial intelligence; evolutionary algorithms; machine learning; mathematical modelling
(This special issue belongs to the Section Mathematical Analysis)
Fixed-Point Theory and Its Related Topics, 5th Edition
edited by
submission deadline 30 Jun 2025 | 1 articles | Viewed by 219 | Submission Open
Keywords: fixed point; best proximity point; equilibrium; Cauchy sequences; completeness; game theory
(This special issue belongs to the Section Mathematical Analysis)
Numerical Methods and Modeling for Multiscale Problems and Applications
edited by Emanuele Macca and Sebastiano Boscarino
submission deadline 30 Jun 2025 | Viewed by 93 | Submission Open
Keywords: multiscale numerical methods; high-order schemes; coupled multiscale systems; implicit and semi-implicit approaches; computational applications in multiscale phenomena
(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 9629 | 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 | 9 articles | Viewed by 10728 | 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)
Advances in Nonlinear Analysis and Boundary Value Problems submission deadline 31 Jul 2025 | 7 articles | Viewed by 8633 | 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)
Advancements in Applied Mathematics and Computational Physics
edited by and Branislav Vlahovic
submission deadline 31 Jul 2025 | 12 articles | Viewed by 8593 | Submission Open
Keywords: applied mathematics; computational physics; experimental and theoretical physics; physical electronics; algebra
(This special issue belongs to the Section Mathematical Physics)
Trends in Fixed Point Theory and Fractional Calculus submission deadline 31 Jul 2025 | 8 articles | Viewed by 7019 | 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 | 9 articles | Viewed by 6647 | 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 | 4 articles | Viewed by 3845 | 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 | 5 articles | Viewed by 3316 | 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 | 2 articles | Viewed by 2134 | 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 | 3 articles | Viewed by 1803 | 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)
Applications in Harmonic Analysis
edited by and Guanghui Lu
submission deadline 31 Jul 2025 | Viewed by 178 | Submission Open
Keywords: function space; operator; commutator; boundedness; compactness
Applied Number Theory to Cryptography and Coding Theory
edited by Iván Blanco Chacón
submission deadline 31 Jul 2025 | Viewed by 114 | 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)
Advances in Graph Theory with Its Applications
edited by Manuel Ceballos and
submission deadline 31 Jul 2025 | Viewed by 99 | 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)
Recent Advances in Mathematical Physics with Applications in Quantum Theory
edited by Oscar Gerardo Loaiza-Brito and
submission deadline 31 Jul 2025 | Viewed by 79 | 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)
Trends in Dynamical Systems and Applied Mathematics
edited by and Sandra Maria Santos Vinagre
submission deadline 31 Jul 2025 | Viewed by 78 | 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)
Differential Equations and Related Topics, 2nd Edition submission deadline 29 Aug 2025 | 8 articles | Viewed by 6167 | 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 504 | 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 | Viewed by 52 | 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 | 1 articles | Viewed by 142 | 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 16647 | 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 | 2 articles | Viewed by 2121 | 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 Lie Algebras submission deadline 31 Aug 2025 | 2 articles | Viewed by 1592 | 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)
Advances in Applied Algebra and Related Topics
edited by Filipa Soares de Almeida and
submission deadline 31 Aug 2025 | 2 articles | Viewed by 1292 | 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)
Modern Trends and Application of Decision-Making Theory, Stability and Control
edited by and Oleksiy V. Kapustyan
submission deadline 31 Aug 2025 | 3 articles | Viewed by 1264 | Submission Open
Keywords: nonlinear systems; stability; perturbation; impulsive systems; approximation; numerical methods; control; decision making theory; machine learning
New Perspectives in Operator Theory and Functional Analysis
edited by
submission deadline 31 Aug 2025 | 3 articles | Viewed by 1129 | Submission Open
Keywords: operator theory; functional analysis; linear operator; nonlinear operator; operator algebras
(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 402 | 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 321 | 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)
Theory and Application of Integral Inequalities, 2nd Edition
edited by
submission deadline 31 Aug 2025 | 1 articles | Viewed by 150 | 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)
Infinite Dynamical System and Differential Equations submission deadline 29 Sep 2025 | 8 articles | Viewed by 8197 | 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 | 10 articles | Viewed by 16568 | 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 | 7 articles | Viewed by 10928 | 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 | 11 articles | Viewed by 8875 | 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)
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