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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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Modern Problems of Analysis, Optimization, Approximation and Their Applications

edited by

Roman Dmytryshyn

submission deadline 30 Apr 2027 | 4 articles | Viewed by 3264 | Submission Open

Keywords: approximations and expansions; calculus of variations and optimal control; continued fractions and their generalizations; difference and functional equations; functional analysis; functions in complex variables; integral equations; integral equations; number theory; numerical analysis; operator theory; ordinary differential equations; partial differential equations; real functions; sequences, series, and summability; several complex variables and analytic spaces; special functions

(This special issue belongs to the Section Mathematical Analysis)

Advanced Approximation Techniques and Their Applications, 3rd Edition

edited by

Roman Dmytryshyn

submission deadline 30 Apr 2027 | 3 articles | Viewed by 2056 | 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; method 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)

Differential Equations and Related Topics, 3rd Edition

edited by

Daniela Marian

Ali Shokri

and

Daniela Inoan

submission deadline 30 Apr 2027 | 2 articles | Viewed by 836 | 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)

Algorithms, Computational Complexity Theory, Computational Geometry, and Categorical Methods Theory with Applications

edited by

Yiyang Jia

and

Emil Saucan

submission deadline 30 Apr 2027 | Viewed by 537 | Submission Open

Keywords: algorithms; optimization; categorical methods; computational complexity; computer science; data science; categorical logic; type theory

(This special issue belongs to the Section Mathematical Analysis)

Mathematical Methods in the Applied Sciences, 3rd Edition

edited by

Nuno Bastos

Touria Karite

and

Ahmed Aberqi

submission deadline 30 Apr 2027 | Viewed by 525 | 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)

Applied Mathematics and Mathematical Modeling, 2nd Edition

edited by

Santiago E. Moll

and

Luis Manuel Sánchez Ruiz

submission deadline 30 Apr 2027 | 1 articles | Viewed by 362 | 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)

15th Anniversary of Axioms: Mathematical Analysis

edited by

Vassilis Rothos

submission deadline 30 Apr 2027 | Viewed by 190 | Submission Open

Keywords: differential equations; dynamical systems; inequalities; nonlinear analysis; numerical analysis; real analysis; variational analysis

(This special issue belongs to the Section Mathematical Analysis)

Functional Equations, Information Cost, and Rigidity

edited by Milan Zlatanović

submission deadline 30 Apr 2027 | Viewed by 164 | Submission Open

Keywords: functional equations; rigidity theory; information geometry; cost functions; information measures; recognition and distinction; symmetry and invariance; differential geometry; mathematical modelling; emergent structures

(This special issue belongs to the Section Mathematical Analysis)

Advances in the Theory and Applications of Statistical Distributions, 2nd Edition

edited by

Osvaldo Venegas

and

Héctor W. Gómez

submission deadline 30 Apr 2027 | Viewed by 144 | Submission Open

Keywords: distribution theory; classical statistics; bayesian statistics; regression models; survival analysis; actuarial statistics

(This special issue belongs to the Section Mathematical Analysis)

Mathematical Analysis and Applications, 5th Edition

edited by

Hari Mohan Srivastava

submission deadline 30 Apr 2027 | Viewed by 125 | 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)

Current Trends in Nonlinear Partial Differential Equations

edited by

Wendong Wang

and Yuzhao Wang

submission deadline 30 Apr 2027 | Viewed by 48 | Submission Open

Keywords: nonlinear partial differential equations; regularity theory; variational methods; fluid dynamics; stability analysis; nonlinear Schrödinger equations; stochastic and fractional PDEs; fractional PDEs; mathematical analysis

(This special issue belongs to the Section Mathematical Analysis)

Advances in Integral Transforms, Special Functions and Fractional Analysis

edited by

Osman Yurekli

submission deadline 30 Apr 2027 | Viewed by 27 | Submission Open

Keywords: integral transforms; special functions; fractional analysis

(This special issue belongs to the Section Mathematical Analysis)

Theory and Applications of Fractional Differential Equations: Recent Advances

edited by Wenyan Wang and Fazhan Geng

submission deadline 15 May 2027 | Viewed by 57 | Submission Open

Keywords: fractional differential equations; fractional calculus; well-posedness; stability analysis; dynamical systems; numerical methods; finite element method; spectral method; inverse problems; parameter estimation; fractional modeling

(This special issue belongs to the Section Mathematical Analysis)

Numerical and Analytical Methods for Partial Differential Equations with Integral Boundary Conditions

edited by Geni Gupur and

Zacharias A. Anastassi

submission deadline 31 May 2027 | 5 articles | Viewed by 3692 | Submission Open

Keywords: time-dependent solution; asymptotic behavior; operator semigroup; resolvent set; spectrum

(This special issue belongs to the Section Mathematical Analysis)

Recent Developments in Statistical Research

edited by

Yingying Zhang

and Dong-Dong Pan

submission deadline 31 May 2027 | 5 articles | Viewed by 3625 | Submission Open

Keywords: statistical learning; machine learning; Bayesian statistics; biomedical statistics; statistical inference; expectation identity; Monte Carlo methods; parametric statistics; nonparametric statistics; artificial intelligence with applications

(This special issue belongs to the Section Mathematical Analysis)

Applications in Harmonic Analysis

edited by

Jiang Zhou

and Guanghui Lu

submission deadline 31 May 2027 | 3 articles | Viewed by 3042 | Submission Open

Keywords: function space; operator; commutator; boundedness; compactness

Advances in Nonlinear Dynamics: Theory and Application

edited by

Pranali Roy Chowdhury

submission deadline 31 May 2027 | 2 articles | Viewed by 1440 | Submission Open

Keywords: mathematical modelling; complex systems; bifurcation; data-driven dynamics; chaotic systems

(This special issue belongs to the Section Mathematical Analysis)

Nonlinear Stability and Advanced Numerical Methods in Fluid and Hamiltonian Systems

edited by

Zhaodong Ding

and

Andrea Giacobbe

submission deadline 31 May 2027 | 1 articles | Viewed by 834 | Submission Open

Keywords: nonlinear stability; fluid dynamics; numerical methods; Hamiltonian systems; structure-preserving schemes; multi-scale modeling; long-time dynamics; complex behavior

(This special issue belongs to the Section Mathematical Physics)

New Advancements in Fuzzy Sets Theory, Generalizations and Applications

edited by

Dušan J. Simjanović

Nataša Milosavljević

and

Branislav M. Ranđelović

submission deadline 31 May 2027 | Viewed by 624 | Submission Open

Keywords: fuzzy sets; generalizations of fuzzy sets; fuzzy logic; fuzzy numbers; fuzzy AHP and generalizations; all real-life applications

(This special issue belongs to the Section Logic)

Applied Nonlinear Dynamical Systems in Mathematical Physics, 2nd Edition

edited by

Evangelos Melas

submission deadline 31 May 2027 | Viewed by 488 | 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 Stochastic Analysis and Large Deviation Theory

edited by

Xuhui Peng

and

Ioannis Stavroulakis

submission deadline 31 May 2027 | Viewed by 404 | Submission Open

Keywords: stochastic analysis; large deviation theory; stochastic partial differential equations; stochastic ordinary differential equations; mathematical finance; moderate deviation theory; ergodicity; stochastic dynamical systems; malliavin calculus; probability theory and its applications

(This special issue belongs to the Section Mathematical Analysis)

New Perspective on Change-Point Analysis and Statistical Inference

edited by Suthakaran Ratnasingam,

Chao Gu

, Ramadha Piyadi Gamage and

Tonghui Wang

submission deadline 31 May 2027 | Viewed by 332 | Submission Open

Keywords: change-point detection; multiple change-points; sequential and online monitoring; high-dimensional inference; nonparametric methods; robust or distribution-free procedures; selective or post-selection inference; networks and functional data; uncertainty quantification; scalable algorithms

(This special issue belongs to the Section Mathematical Analysis)

Mathematical Foundations of Fluid Mechanics

edited by Terry E. Moschandreou

submission deadline 31 May 2027 | Viewed by 289 | Submission Open

Keywords: Navier–Stokes equation; potential; fluid mechanics; rotation; vorticity; inverse problems; fluid and aerodynamics; existence theory; blowup; viscosity; inviscid flow

(This special issue belongs to the Section Mathematical Physics)

Advances in Differential Equations and Its Applications, 2nd Edition

edited by

Andrey Zahariev

and

Hristo Kiskinov

submission deadline 31 May 2027 | Viewed by 134 | Submission Open

Keywords: functional-differential equations /systems; fractional differential equations/systems; fractional derivatives of constant order; distributed order fractional derivative; variable order fractional derivative; stability analysis of fractional-order systems; asymptotic properties of fractional-order systems

(This special issue belongs to the Section Mathematical Analysis)

Recent Progress in Computational Fluid Dynamics, 2nd Edition

edited by Satyvir Singh

submission deadline 31 May 2027 | Viewed by 129 | 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

(This special issue belongs to the Section Mathematical Physics)

Mathematical Optimizations and Operations Research, 2nd Edition

edited by Shen Peng and Jia Liu

submission deadline 31 May 2027 | Viewed by 87 | Submission Open

Keywords: convex and nonconvex optimization; nonsmooth optimization; large-scale optimization; integer program; stochastic optimization; robust optimization; distributionally robust optimization; artificial intelligence; operations research

(This special issue belongs to the Section Mathematical Analysis)

Recent Advances in Functional Analysis and Operator Theory, 2nd Edition

edited by

Hadi Roopaei

and

Feyzi Başar

submission deadline 30 Jun 2027 | 1 articles | Viewed by 812 | 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)

Geometric and Structure-Preserving Neural Operators in Variational and PDE-Constrained Optimization

edited by José Alberto Rodrigues,

Feliz Manuel Minhós

and Ismail Jamiai

submission deadline 30 Jun 2027 | Viewed by 306 | Submission Open

Keywords: mathematical foundations of neural operators and operator learning; approximation theory in infinite-dimensional spaces; variational and energy-based formulations in learning frameworks; structure-preserving and physics-informed neural operators; PDE-constrained optimization and control; inverse problems and data-driven modeling; functional-analytic and spectral perspectives on deep learning; stability, convergence, and generalization analysis; hybrid methods combining numerical analysis and machine learning; applications in physics, engineering, and complex systems

(This special issue belongs to the Section Mathematical Analysis)

Recent Advances in Variational Inequalities and Optimization Theory

edited by

Bing Tan

submission deadline 30 Jun 2027 | Viewed by 182 | Submission Open

Keywords: variational inequalities; optimization theory; fixed point methods; equilibrium problems; monotone operators; iterative algorithms; convex optimization; extragradient methods; nonlinear analysis; numerical optimization

(This special issue belongs to the Section Mathematical Analysis)

Recent Advances in Dynamical Systems and Applied Mathematics

edited by

Armando Gallegos

Ruizhi Yang

and

Ernesto Urenda Cázares

submission deadline 30 Jun 2027 | Viewed by 6 | Submission Open

Keywords: dynamic systems; nonlinear dynamics; stochastic modeling; fractional calculus; differential equations; stability and bifurcation analysis; numerical simulation: control and optimization; data-driven modeling; applied mathematics; mathematical modeling; computational methods; complex systems; interdisciplinary applications

(This special issue belongs to the Section Mathematical Physics)

Research in Functional Analysis and Measure Theory

edited by

Talat Nazir

submission deadline 31 Dec 2027 | Viewed by 131 | Submission Open

Keywords: Banach and Hilbert spaces; operator theory; fixed point theory; nonlinear analysis; measure and integration theory; functional and harmonic analysis; probability measures and stochastic analysis; spectral theory and semigroup theory; metric; generalized metric; topological spaces; partial differential equations; variational analysis; convex analysis; optimization; approximation theory; numerical functional analysis

(This special issue belongs to the Section Mathematical Analysis)

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