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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Advances in Fuzzy Logic and Computational Intelligence submission deadline 10 May 2025 | 4 articles | Viewed by 5899 | Submission Open
Keywords: fuzzy logic; fuzzy systems; interval mathematics; lattice fuzzy logic; computational intelligence systems; logic; interval; lattice; systems
(This special issue belongs to the Section Logic)
Emerging Applications and Theoretical Advances in Variational Methods, Functional Analysis, and Mathematical Optimization
edited by José Alberto Rodrigues
submission deadline 20 May 2025 | Viewed by 444 | Submission Open
Keywords: variational calculus; fractional calculus; optimal transport; stochastic systems; machine learning applications; multiscale modeling
(This special issue belongs to the Section Mathematical Analysis)
Fractional Order Functional Differential Equations and Fixed Point Theory
edited by and
submission deadline 20 May 2025 | Viewed by 271 | Submission Open
Keywords: delay fractional differential and difference equations; impulsive fractional differential and difference equations; neutral fractional differential and difference equations; applying fixed point theory to solve fractional differential and difference equations; solvability and stability; numerical solutions and simulations of fractional order functional differential equations; the practical application of fractional order functional differential equations
(This special issue belongs to the Section Mathematical Analysis)
Advances in Dynamical Systems: Modeling Time-Evolving Processes Under Uncertainty
edited by Claudio Arancibia-Ibarra
submission deadline 25 May 2025 | Viewed by 137 | Submission Open
Keywords: applied mathematics; dynamical systems; population dynamics; pattern formation; reaction-diffusion equations
(This special issue belongs to the Section Mathematical Analysis)
Recent Developments in Graph Theory
edited by
submission deadline 27 May 2025 | 7 articles | Viewed by 6261 | Submission Open
Keywords: chemical graph theory; topological indices; cut method; applied mathematics; domination; rainbow domination; domination games; independence domination; Grundy domination
(This special issue belongs to the Section Mathematical Analysis)
Mathematical Modeling, Simulations and Applications
edited by Jun Li and Liang Zhang
submission deadline 28 May 2025 | 5 articles | Viewed by 3810 | Submission Open
Keywords: mathematical modeling; simulation; applications; numerical methods; computational algorithms; mathematical applications; interdisciplinary collaboration; mathematical software development; engineering applications; scientific research; biomedical applications; environmental science; physics applications; social sciences; economics applications
(This special issue belongs to the Section Mathematical Analysis)
Fractional Calculus and Applied Analysis, 2nd Edition
edited by
submission deadline 28 May 2025 | 2 articles | Viewed by 779 | 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)
Stochastic and Statistical Analyses in Natural Sciences, Second Edition submission deadline 28 May 2025 | Viewed by 115 | Submission Open
Keywords: stochastic processes; time-series analysis; conditional expectation; filtration; statistical methods in the natural sciences; parameter estimation techniques; cross-sectional studies; population and sample theory
(This special issue belongs to the Section Mathematical Analysis)
Theoretical Advances in Fractional Calculus submission deadline 29 May 2025 | Viewed by 453 | Submission Open
Keywords: fractional calculus; generalized fractional calculus; fractional differential equations; fractional integral equations; special functions in one or several variables; special functions in matrix arguments; asymptotic expansions; orthogonal expansions; q-series  ; open problems
(This special issue belongs to the Section Mathematical Analysis)
Applied Mathematics and Numerical Analysis: Theory and Applications
edited by
submission deadline 30 May 2025 | 6 articles | Viewed by 6250 | 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)
Advances in Parameter-Tuning Techniques for Metaheuristic Algorithms
edited by Vasileios A. Tatsis
submission deadline 30 May 2025 | 1 articles | Viewed by 2714 | Submission Open
Keywords: computational optimization; metaheuristic algorithms; parameter tuning; swarm intelligence; real-world applications
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Complex Analysis and Applications, 2nd Edition
edited by
submission deadline 30 May 2025 | 2 articles | Viewed by 2038 | Submission Open
Keywords: geometric function theory; harmonic maps; Hardy spaces; quasiconformal maps; univalent functions; harmonic analysis; PDE
(This special issue belongs to the Section Mathematical Analysis)
Recent Advances in Function Spaces and Their Applications
edited by and Suzana Aleksić
submission deadline 30 May 2025 | 2 articles | Viewed by 1629 | Submission Open
Keywords: function spaces; spaces of ultradifferentiable functions and spaces of distributions and ultradistributions; time– frequency analysis; frame and wavelet theory; pseudodifferential and Fourier integral operators; microlocal analysis and wave front sets
(This special issue belongs to the Section Mathematical Analysis)
Advances in Differential Geometry and Mathematical Physics
edited by
submission deadline 31 May 2025 | 10 articles | Viewed by 12708 | 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 Modeling and Related Topics
edited by En-Bing Lin
submission deadline 31 May 2025 | 7 articles | Viewed by 6891 | 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)
Axioms and Methods for Handling Differential Equations and Inverse Problems
edited by Zoltán Vizvári, Mihály Klincsik, Robert Kersner, , Zoltán Sári and
submission deadline 31 May 2025 | 4 articles | Viewed by 6856 | 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)
Topics in General Topology and Applications submission deadline 31 May 2025 | 5 articles | Viewed by 4416 | Submission Open
Keywords: cardinal invariants; function spaces; hyperspaces; topological algebras; functors in general topology; dimension theory; selection principles; game theory in topology; fuzzy topology; soft topology and its applications; digital topology; combinatorial topology; categorical methods in topology; uniform spaces; fixed point theory; topological methods in analysis
(This special issue belongs to the Section Geometry and Topology)
New Perspectives in Fuzzy Sets and Their Applications, 2nd Edition
edited by
submission deadline 31 May 2025 | 3 articles | Viewed by 1991 | Submission Open
Keywords: fuzzy sets; fuzzy logic; fuzzy optimization; fuzzy systems; extension principle; gradual sets
(This special issue belongs to the Section Logic)
Optimization, Operations Research and Statistical Analysis submission deadline 31 May 2025 | 1 articles | Viewed by 1273 | Submission Open
Keywords: statistical analysis; hypothesis testing; big data analysis; time-series analysis; operations research; mathematical modeling; optimization
Numerical Methods and Simulations for Partial Differential Equations
edited by Hyundong Kim
submission deadline 31 May 2025 | Viewed by 244 | Submission Open
Keywords: numerical method; numerical simulation; mathematical modeling; finite difference method; phase-field model; mathematical biology; computational finance; PDE solver on surfaces
(This special issue belongs to the Section Mathematical Analysis)
Recent Trends in Numerical Methods for Functional Equations
edited by , Federico Nudo and Donatella Occorsio
submission deadline 31 May 2025 | Viewed by 181 | Submission Open
Keywords: polynomial approximation; orthogonal polynomials; numerical integration; integral equations; differential equations; functional equations
(This special issue belongs to the Section Mathematical Analysis)
Methods and Applications of Advanced Statistical Analysis, 2nd Edition
edited by
submission deadline 26 Jun 2025 | 4 articles | Viewed by 3649 | 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)
Elliptic Curves, Modular Forms, L-Functions and Applications
edited by Dongxi Ye and
submission deadline 27 Jun 2025 | 2 articles | Viewed by 908 | Submission Open
Keywords: combinatorics; elliptic curves; L-functions; modular forms; number theory
(This special issue belongs to the Section Algebra and Number Theory)
Recent Advances in Functional Analysis and Operator Theory
edited by and
submission deadline 30 Jun 2025 | 11 articles | Viewed by 12953 | 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)
Numerical Analysis and Applied Mathematics
edited by
submission deadline 30 Jun 2025 | 9 articles | Viewed by 11665 | 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)
New Perspectives in Applied Mathematics with Nonlinear Equations and Dynamical Systems
edited by
submission deadline 30 Jun 2025 | 11 articles | Viewed by 10049 | 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 9610 | 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 9410 | 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 9264 | 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 8890 | 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 8050 | 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 6944 | 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 6250 | 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 | 8 articles | Viewed by 6064 | 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 4932 | 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 2290 | 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 | 4 articles | Viewed by 1566 | 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 923 | Submission Open
Keywords: integral transforms; quantum field theory; quantum gravity; complex mappings
(This special issue belongs to the Section Mathematical Physics)
Recent Advances in Fuzzy Theory Applications
edited by Rédina Berkachy and
submission deadline 30 Jun 2025 | 1 articles | Viewed by 623 | 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)
Fixed-Point Theory and Its Related Topics, 5th Edition
edited by
submission deadline 30 Jun 2025 | 1 articles | Viewed by 525 | Submission Open
Keywords: fixed point; best proximity point; equilibrium; Cauchy sequences; completeness; game theory
(This special issue belongs to the Section Mathematical Analysis)
Numerical Analysis, Approximation Theory and Related Topics
edited by Rada Mutavdžić Đukić and
submission deadline 30 Jun 2025 | Viewed by 434 | 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 Mathematical Optimization and Related Topics
edited by Alberto Luque-Chang and Jorge Gálvez
submission deadline 30 Jun 2025 | Viewed by 307 | Submission Open
Keywords: optimization; artificial intelligence; evolutionary algorithms; machine learning; mathematical modelling
(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 131 | 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 10312 | 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 11319 | 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 9719 | 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 9052 | 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 | 8 articles | Viewed by 7536 | 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 7400 | 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 4533 | 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)
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