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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 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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Theoretical Advances in Fractional Calculus

edited by Min-Jie Luo and

Roman Dmytryshyn

submission deadline 25 Oct 2024 | Viewed by 192 | 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)

Dynamical Systems: Theory and Applications in Mathematical Biology

edited by

Mahmoud Ibrahim

and

Attila Dénes

submission deadline 29 Oct 2024 | 4 articles | Viewed by 5263 | Submission Open

Keywords: dynamical systems theory; mathematical biology; population dynamics; mathematical epidemiology; nonlinear dynamical systems; non-autonomous systems; ODEs; PDEs; DDEs; stability analysis; global dynamics; threshold dynamics; periodic solutions; persistence theory; bifurcations and chaos; computational modelling; infectious diseases; vector-borne diseases; zoonotic diseases; cell biology modelling; climate change

(This special issue belongs to the Section Mathematical Analysis)

Applications of Bayesian Methods in Statistical Analysis

edited by Yanqing Zhang and Puying Zhao

submission deadline 29 Oct 2024 | 1 articles | Viewed by 585 | Submission Open

Keywords: Bayesian inference; variational Bayesian method; machine learning; Markov Chain Monte Carlo (MCMC) methods; applications in Bayesian methods; Bayesian prior; hierarchical model; parameter estimation; interval estimation; related topics about Bayesian method

(This special issue belongs to the Section Mathematical Analysis)

Fuzzy Systems, Fuzzy Decision Making, and Fuzzy Mathematics

edited by Carlos Bejines and

Radko Mesiar

submission deadline 29 Oct 2024 | Viewed by 116 | Submission Open

Keywords: fuzzy set theory; decision making; fuzzy algorithms; fuzzy optimization; aggregation operators

(This special issue belongs to the Section Logic)

Advances in Fuzzy MCDM, Hybrid Methods, Fuzzy Number Ranking and Their Applications

edited by

Ta-Chung Chu

and

Wei-Chang Yeh

submission deadline 30 Oct 2024 | 8 articles | Viewed by 8023 | Submission Open

Keywords: fuzzy MCDM; hybrid methods; fuzzy modeling; fuzzy numbers; ranking; computing with words

(This special issue belongs to the Section Mathematical Analysis)

Recent Advances in Fuzzy Sets and Related Topics

edited by

Boldizsár Tüű-Szabó

submission deadline 30 Oct 2024 | 6 articles | Viewed by 6235 | Submission Open

Keywords: fuzzy set; soft computing; artificial intelligence; fuzzy systems; data mining; data analysis; intuitionistic fuzzy sets; decision making

(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 Oct 2024 | 1 articles | Viewed by 1179 | Submission Open

Keywords: computational optimization; metaheuristic algorithms; parameter tuning; swarm intelligence; real-world applications

(This special issue belongs to the Section Mathematical Analysis)

Mathematical Cosmology

edited by

and

submission deadline 31 Oct 2024 | 4 articles | Viewed by 5780 | Submission Open

(This special issue belongs to the Section Mathematical Physics)

Advances in Hypergeometric Series, Orthogonal Polynomials and Their Natural Extensions

edited by

Roberto S. Costas-Santos

submission deadline 31 Oct 2024 | 1 articles | Viewed by 2266 | Submission Open

Keywords: hypergeometric series; basic hypergeometric series; orthogonal polynomials; zeros; recurrence relations; inner product; integral equations; generating functions; asymptotics; applications of special functions and orthogonal polynomials; inequalities; mathematical knowledge management of special functions and orthogonal polynomials

(This special issue belongs to the Section Mathematical Analysis)

Research on Stochastic Analysis and Applied Statistics

edited by

Shusen Pu

and

Subhash Bagui

submission deadline 31 Oct 2024 | 1 articles | Viewed by 626 | Submission Open

Keywords: statistical modelling; applied probability; data analysis; computational statistics; stochastic processes; machine learning; deep learning

(This special issue belongs to the Section Mathematical Analysis)

Recent Advances in Complex Analysis and Applications, 2nd Edition

edited by

Miodrag Mateljevic

submission deadline 31 Oct 2024 | 1 articles | Viewed by 498 | 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)

Fuzzy Sets, Simulation and Their Applications

edited by

Hui-Chin Tang

, Shih-Chou Kao and

Oscar Humberto Ross

submission deadline 31 Oct 2024 | Viewed by 356 | Submission Open

Keywords: fuzzy set theory; extensions and generalizations of fuzzy sets; fuzzy multicriteria decision-making model; modeling and simulation; simulation and optimization; cryptography; random numbers

(This special issue belongs to the Section Algebra and Number Theory)

New Perspectives in Fuzzy Logic and Its Applications

edited by Carolina Nicolas and Jaime Gil Lafuente

submission deadline 31 Oct 2024 | Viewed by 284 | Submission Open

Keywords: mathematical logic; fuzzy logic; fuzzy set theory; mathematical analysis; topology

(This special issue belongs to the Section Logic)

Modeling and Analysis of Complex Network

edited by Letizia Milli

submission deadline 31 Oct 2024 | Viewed by 217 | Submission Open

Keywords: models of complex networks; dynamics on and of complex networks; algorithms for network analysis; complex networks mining; structural network properties; community structure and discovery; information spreading in social media

Fractional Differential Equations and Dynamical Systems

edited by Nicholas Fewster-Young and

Gabriella Bretti

submission deadline 31 Oct 2024 | Viewed by 141 | Submission Open

Keywords: fractional differential equations; dynamical systems; fractional calculus; fractional integrals

Optimization, Operations Research and Statistical Analysis

edited by

Elena Perez-Bernabeu

submission deadline 31 Oct 2024 | Viewed by 131 | Submission Open

Keywords: statistical analysis; hypothesis testing; big data analysis; time-series analysis; operations research; mathematical modeling; optimization

New Perspectives in Mathematical Statistics

edited by

Xiaonan Zhu

and

Jong-Min Kim

submission deadline 1 Nov 2024 | 4 articles | Viewed by 3826 | Submission Open

Keywords: Bayesian statistics; statistical analysis for high-dimensional data; nonparametric statistics; distribution-free methods; machine learning; robust statistics; spatial statistics; time series analysis; statistical inference; computational statistics

Advances in Octahedron Sets and Its Applications

edited by

Jong-Il Baek

and Kul Hur

submission deadline 1 Nov 2024 | 1 articles | Viewed by 569 | Submission Open

Keywords: topology; algebra; category theory; differential equation; probability and statistics; geometry objects; decision making; mathematical model; computer science

New Perspectives in Control Theory

edited by

Javier Rico-Azagra

, Ángeles Hoyo and

Orlando Arrieta

submission deadline 1 Nov 2024 | Viewed by 163 | Submission Open

Keywords: advanced control algorithms; process control; adaptive and learning control; robust control methodologies; PID control; nonlinear control systems; intelligent control systems; model predictive control; cyber– physical systems; engineering technologies in control engineering

(This special issue belongs to the Section Mathematical Analysis)

Applied Mathematics in Kinetic Modeling

edited by

Marco Menale

submission deadline 15 Nov 2024 | Viewed by 233 | Submission Open

Keywords: kinetic theory; interacting systems; differential equations; integro-differential equations; applied mathematics; stability

(This special issue belongs to the Section Mathematical Physics)

The Advancement in Mathematical and Quantum Physics

edited by

Mostafa Behtouei

submission deadline 20 Nov 2024 | 1 articles | Viewed by 1046 | Submission Open

Keywords: quantum mechanics; mathematical modeling; quantum field theory; interdisciplinary research; advanced quantum applications

(This special issue belongs to the Section Hilbert’s Sixth Problem)

Computational and Mathematical Methods in Science and Engineering II

edited by

Juan Frausto Solis

Juan Paulo Sánchez

and

Guadalupe Castilla Valdez

submission deadline 22 Nov 2024 | 1 articles | Viewed by 2116 | Submission Open

(This special issue belongs to the Section Mathematical Analysis)

Difference, Functional, and Related Equations

edited by Ravi Shankar and

Qun Liu

submission deadline 26 Nov 2024 | 7 articles | Viewed by 4450 | 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)

Stochastic and Statistical Analysis in Natural Sciences

edited by

Dragana Valjarević

Vladica Stojanović

and

Aleksandar Dj Valjarević

submission deadline 28 Nov 2024 | 8 articles | Viewed by 7692 | 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)

Mathematical Aspects of Quantum Field Theory and Quantization

edited by

Alexandre Landry

submission deadline 28 Nov 2024 | Viewed by 628 | Submission Open

Keywords: quantization; Schrodinger; Klein– Gordon; Dirac; quantum field theory; special functions; perturbations; WKB approximations; quantum gravity

(This special issue belongs to the Section Hilbert’s Sixth Problem)

Recent Developments in Graph Theory

edited by

Simon Brezovnik

submission deadline 28 Nov 2024 | Viewed by 240 | 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 Nov 2024 | Viewed by 118 | 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)

Advances in Convex Geometry and Analysis

edited by

Baocheng Zhu

Senlin Wu

, Jingbo Dou and Wenxue Xu

submission deadline 29 Nov 2024 | 3 articles | Viewed by 3121 | Submission Open

Keywords: Borsuk’ s problem; Hadwiger’ s covering problem; complete sets; geometric inequality; Brunn-Minkowski inequality; Minkowski problem; integral inequality; Weighted Lp spaces; holder’ s inequality; Fourier coefficients

(This special issue belongs to the Section Geometry and Topology)

Fuzzy Logic Algorithms and Its Applications

edited by Luciano Barcellos de Paula, Anna María Gil-Lafuente, Emili Vizuete-Luciano and Josefa Bòria-Reverter

submission deadline 29 Nov 2024 | Viewed by 285 | Submission Open

Keywords: sustainable development; climate change; SDGs; fuzzy logic applications; decision making; multi-criteria decision making; modeling and simulation; fuzzy logic applications; fuzzy theory

(This special issue belongs to the Section Logic)

Principles of Variational Methods in Mathematical Physics

edited by

Irina Meghea

submission deadline 30 Nov 2024 | 6 articles | Viewed by 7996 | Submission Open

Keywords: Ekeland variational principle; perturbed variational principle; minimax-type theorems; mountain-pass-type theorems; saddle-point-type theorems; critical points; Dirichlet problem; von Neumann problem; fractional calculus; numerical methods; real-world modeling

(This special issue belongs to the Section Mathematical Physics)

New Perspectives in Fuzzy Sets and Its Applications

edited by

Hsien-Chung Wu

submission deadline 30 Nov 2024 | 7 articles | Viewed by 6761 | Submission Open

Keywords: fuzzy sets; fuzzy logic; fuzzy optimization; fuzzy systems; extension principle; gradual sets

(This special issue belongs to the Section Logic)

Advanced Computing Methods for Fuzzy Systems and Neural Networks

edited by

Ebrahim Navid Sadjadi

Ahmad Fakharian

, Raúl Suárez and

Farhad Shahnia

submission deadline 30 Nov 2024 | 2 articles | Viewed by 3983 | Submission Open

Keywords: computing methods; optimization; control systems; fuzzy systems and neural networks; deep nets; machine learning and AI; mechatronics and robotic; IoT and smart devices; biologic systems; renewable energy resources and microgrid

(This special issue belongs to the Section Mathematical Analysis)

Advances in Geometric Function Theory and Related Topics

edited by

Páll-Szabó Ágnes-Orsolya

, Grigore Stefan Salagean and

Teodor Bulboaca

submission deadline 30 Nov 2024 | 5 articles | Viewed by 3118 | 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)

Applications of Quantum Computing in Artificial Intelligence

edited by

Oscar Humberto Ross

submission deadline 30 Nov 2024 | 2 articles | Viewed by 2997 | Submission Open

Keywords: quantum machine learning; quantum intelligent systems; quantum learning systems; quantum deep learning; quantum transfer learning; quanvolutional neural networks

(This special issue belongs to the Section Mathematical Physics)

Applied Mathematical Models of Option Pricing

edited by

Geonwoo Kim

submission deadline 30 Nov 2024 | 1 articles | Viewed by 2025 | Submission Open

Keywords: option pricing; mathematical models; financial mathematics; stochastic volatility models; jump-diffusion models; credit risk; machine learning

(This special issue belongs to the Section Mathematical Analysis)

Differential Equations and Its Application

edited by Yuting Ding, Feng Li and

Patricia J. Y. Wong

submission deadline 30 Nov 2024 | 2 articles | Viewed by 1382 | Submission Open

Keywords: mathematical model; dynamic system; bifurcation; chaos; normal form

(This special issue belongs to the Section Mathematical Analysis)

New Developments in Geometric Function Theory, 3rd Edition

edited by

Georgia Irina Oros

submission deadline 30 Nov 2024 | 2 articles | Viewed by 1229 | 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)

Topics in General Topology and Applications

edited by

Ljubiša D. R. Kočinac

submission deadline 30 Nov 2024 | Viewed by 151 | 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)

Fuzzy Set Theory and Its Applications in Decision Making II

edited by

Sarfaraz Hashemkhani Zolfani

submission deadline 30 Nov 2024 | Viewed by 147 | Submission Open

Keywords: fuzzy set theory; fuzzy MCDM models; fuzzy hybrid models; recent and advanced fuzzy operators; fuzzy-based decision support systems; fuzzy relational operators

(This special issue belongs to the Section Logic)

Recent Advances in Function Spaces and Their Applications

edited by

Filip Tomić

and Suzana Aleksić

submission deadline 30 Nov 2024 | Viewed by 147 | 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)

Complex Networks and Dynamical Systems

edited by Shang Gao, Chunmei Zhang and Ying Guo

submission deadline 30 Nov 2024 | Viewed by 80 | 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)

Financial Mathematics and Econophysics

edited by

Maria P. Beccar-Varela

Maria C. Mariani

and

Osei K. Tweneboah

submission deadline 1 Dec 2024 | 2 articles | Viewed by 4606 | 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 64 | 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

Dongkyu Lim

Adem Kilicman

and Arjun Kumar Rathie

submission deadline 20 Dec 2024 | 12 articles | Viewed by 11208 | 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,

Peter Odry

, Zoltán Sári and

Vladimir László Tadić

submission deadline 20 Dec 2024 | 2 articles | Viewed by 2950 | 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 | Viewed by 147 | 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

Tomas Ruzgas

submission deadline 23 Dec 2024 | Viewed by 87 | 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

Ji Eun Kim

submission deadline 25 Dec 2024 | 5 articles | Viewed by 2388 | 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

edited by

Ricardo Roque Enguiça

and

Clemente Cesarano

submission deadline 27 Dec 2024 | 5 articles | Viewed by 5016 | 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 3886 | 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)

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