Special Issues

(This special issue belongs to the Section Dynamical Systems)

Keywords: quantum computing; quantum programming languages; quantum machine learning; quantum internet / network; bio-inspired computing; molecular and DNA computing; chemical computing; molecular machines incorporating information processing; membrane computing; neural networks; evolutionary computing; natural computing; computing based on dynamical & stochastic systems; unconventional computing; computation beyond the Turing model; swarm intelligence; logic and unconventional computing; physical limits to mechanical computation; physics of computation

(This special issue belongs to the Section Mathematics and Computer Science)

(This special issue belongs to the Section Difference and Differential Equations)

Keywords: Mathematical modeling; Numerical methods; Machine learning; Statistical  techniques; Statistical learning; Data science; Bioinformatics; Medical image processing; Biosignal processing

(This special issue belongs to the Section Mathematics and Computer Science)

Keywords: numerical and modeling analysis; mathematical models; calculation method; structural dynamics; infrastructure engineering; number theory; numerical analysis; constitutive model; structural health monitoring

(This special issue belongs to the Section Engineering Mathematics)

Keywords: additive manufacturing; laser cleaning; laser shock processing; laser cutting; green manufacturing robust optimization; wick manufacturing technology mathematical models of heat transmission

(This special issue belongs to the Section Engineering Mathematics)

Keywords: operations research; machine learning; metaheuristics; mathematical optimization models; linear programming; mixed integer linear programming; robust optimization

(This special issue belongs to the Section Financial Mathematics)

Keywords: algebra and its applications; linear algebra and its applications; discrete mathematics; BCK algebras and related algebraic systems; (intuitionistic) fuzzy theory and applications; soft matrix theory and applications; (intuitionistic) fuzzy soft matrix theory and applications; neutrosophic soft matrix theory and applications; neutrosophic fuzzy matrix theory and applications; rough matrix theory and applications; fuzzy soft rough matrix theory and applications

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

Keywords: mathematical modeling; mathematical optimization; control theory and applications; high-performance computing; stochastic processes; numerical analysis and simulation; computational fluid dynamics; machine learning; data analytics

(This special issue belongs to the Section Mathematics and Computer Science)

Keywords: approximation by polynomials; splines; radial basis functions; approximation on bounded and unbounded domains; approximation by linear and nonlinear operators; interpolation and quasi-interpolation; rate of convergence of best approximation; orthogonal systems and fourier series; CAGD; numerical integration; numerical methods for integral and differential equations; applications to integral and differential problems; fractional calculus; and machine learning

(This special issue belongs to the Section Computational and Applied Mathematics)

Keywords: birth– death processes; computational methods for stochastic models; diffusion processes; first-passage-time problems; gauss– Markov processes; Markov chains; neuronal modeling; population dynamics; probability theory; queueing systems; random walks; simulation of stochastic processes; stochastic models in biology; stochastic processes and applications

(This special issue belongs to the Section Probability and Statistics)

Keywords: fractional differential equations; integral differential equations; theoretical analysis; numerical methods; numerical analysis

(This special issue belongs to the Section Difference and Differential Equations)

Keywords: integer programming and combinatorial optimization; exact optimization methods; approximated optimization methods; OR applications

(This special issue belongs to the Section Mathematics and Computer Science)

Keywords: fluid dynamics; validation

(This special issue belongs to the Section Computational and Applied Mathematics)

Keywords: combinatorics of words; combinatorial ring theory; combinatorial group theory; operator algebras; model theory in algebraic geometry; algorithmic problems in algebra; artificial intelligence; mathematical education

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

Keywords: good extensions; fuzzy topological spaces; intuitionistic fuzzy topological spaces; neutrosophic topology.

(This special issue belongs to the Section Fuzzy Sets, Systems and Decision Making)

Keywords: game theory; decision making; rationality; mathematical modeling optimization; optimal control; machine learning

(This special issue belongs to the Section Computational and Applied Mathematics)

Keywords: partial differential equations; image denoising and restoration; image interpolation; image segmentation; image registration; image compression; computer vision; artificial intelligence; deep learning; neural partial differential equations; PDE-based AI system description; CNN-based numerical PDE solving; PDE-based deep network interpretation; DL-based PDE model learning

(This special issue belongs to the Section Difference and Differential Equations)

Keywords: non-algorithmic mathematical models; causal organization; biological and non-biological systems; (M; R)-systems; autopoiesis; category theory; calculus of indications; algebraic biology; self-reference

(This special issue belongs to the Section Mathematical Biology)

Keywords: game theory; dynamic game; cybersecurity; adaptive defense

(This special issue belongs to the Section Mathematics and Computer Science)

Keywords: partial defferential equations; homogenization; porous nedium; computer and network

(This special issue belongs to the Section Difference and Differential Equations)

Keywords: intuitionistic fuzzy sets (theory and applications); intuitionistic fuzzy logic; uncertainty modeling; intuitionistic fuzzy set-based decision making

(This special issue belongs to the Section Fuzzy Sets, Systems and Decision Making)

Keywords: Ramanujan; Ramanujan theories; elliptic functions; approximation of constants; continued fractions; theta functions; mock theta functions; modular forms; modular equations; number theory; algebraic equations; inversion problem theories; mathematical physics; string theory; theory of black holes; signal processing

(This special issue belongs to the Section Mathematical Physics)

Keywords: data mining; deep learning; big data analysis; neural networks; graph learning and computing

(This special issue belongs to the Section Mathematics and Computer Science)

Keywords: theory and applications of higher-order linear equations; theory and applications of systems of linear and nonlinear equations; applications based especially on linear polynomial differential operators; applications involving special functions and polynomials; applications based on other tools and techniques of mathematical analysis; theory and application of ordinary partial differential equations as well as their fractional-order relatives

(This special issue belongs to the Section Difference and Differential Equations)

Keywords: dynamic systems; modelling of nonlinearities; algorithm; computer simulation; finite elements method

(This special issue belongs to the Section Dynamical Systems)

Keywords: finite element analysis; weak solutions; convergence results; shape and topology optimization; elastic material; composites; boundary control; active vibration control; contact problems; variational inequalities; friction laws; static; kinetic or sliding friction; collisions; isotropic and anisotropic friction; optimal control; non-differentiability; stick– slip contact; frictional quasistatic contact; penalization and regularization

(This special issue belongs to the Section Engineering Mathematics)

Keywords: modelling; simulation; requirement analyses; blockchain systems; blockchain applications; formal methods

(This special issue belongs to the Section Mathematics and Computer Science)

Keywords: heuristic optimization；; metaheuristics；; machine learning；; deep learning；; reinforcement learning；; neuro-evolution；; learnheuristics；; evolutionary algorithms；; global optimization；; combinatorial optimization

(This special issue belongs to the Section Mathematics and Computer Science)

Keywords: Internet of Things; deep learning; natural language processing; computer vision; mathematical modeling; intelligent computing; blockchain

(This special issue belongs to the Section Mathematics and Computer Science)

Keywords: game theory; industrial organization; microeconomic analysis; mathematical economics; oligopoly theory; strategic decision making

(This special issue belongs to the Section Financial Mathematics)

Keywords: mathematics in robots modelling; planning; and control; algorithms for optimization of robots modelling; planning; and control; optimal design of parallel robots; novel mathematical techniques to model the motion; forces; and kinematics of robots and mechanisms; and to analyse their performance and behaviour; novel algorithms in motion planning and control: the development of algorithms and techniques to enable robots to move smoothly and efficiently from one location to another; while avoiding obstacles and other hazards; AI; intelligent control; neuro-control; fuzzy control and their applications; smart manufacturing; biomedical and rehabilitation engineering; welfare robotics and mechatronics; bionic robot navigation; task; and motion planning; bionic robotics; autonomous and evolutionary robotics; biomimetic robotics; industrial automation; process control; manufacturing process; intelligent control and AI in mechatronics; intelligent mechatronics; automation; control systems; locomotion and manipulation in biological and robot systems; rehabilitation robot system; neuro-robotics; wearable robots; robot intelligence and learning; robot vision and audition; soft robotics; robotic systems modeling; optimization; simulation; and experiments; robots and automation; robotic grasping and manipulation; sensor design; sensor fusion; sensor networks; human– robot interaction; universal design and services; ubiquitous robots and devices

(This special issue belongs to the Section Engineering Mathematics)

Keywords: mathematics of fuzzy sets; type-1 fuzzy logic/models/applications; theoretical analysis and hybridizations in fuzzy logic; fuzzy control; fuzzy neural systems; genetic fuzzy systems; fuzzy modeling/intelligent data analysis; fuzzy database mining and forecasting; FL-based decision modeling; decision making under uncertainty; consensus modeling; aggregation operators of uncertain information; adaptive fuzzy systems/uncertainty management; computational intelligence/learning; pattern recognition/image processing; soft computing in database management and information retrieval

(This special issue belongs to the Section Fuzzy Sets, Systems and Decision Making)

Keywords: software engineering; software system; component system; formal methods; semantics of programming languages; visualization of formal methods; software design; university didactics

(This special issue belongs to the Section Mathematics and Computer Science)

Keywords: differential games; pursuit– evasion games; dynamic games; Hamilton– Jacobi equations; numerical methods

(This special issue belongs to the Section Computational and Applied Mathematics)

Keywords: complex systems; failure mechanism; mathematical modeling; reliability models; failure probability; sensitivity analysis; uncertainty quantification; reliability design; optimization; statistical methods; machine learning

(This special issue belongs to the Section Computational and Applied Mathematics)

Keywords: copula; quasi-copula; dependence models; measures of association; stochastic ordering; extreme value analysis; quantitative finance

(This special issue belongs to the Section Probability and Statistics)

Keywords: reliability management; decision analysis; group decision making; failure mode and effect analysis; consensus reaching process; linguistic decision making

(This special issue belongs to the Section Financial Mathematics)

Keywords: mathematical modeling; machine learning; molecular biology; bioinformatics; drug design

(This special issue belongs to the Section Mathematical Biology)

Keywords: computational fluid dynamics (CFD); three-dimensional modeling; solid mechanics modelling; FEM/FVM/BEM; meshless methods; traditional CFD; multiphysics phenomena; boundary conditions; mass; momentum and energy conservations; enhanced oil recovery; polymer processing simulation; multiscale modelling; molecular dynamics; advanced numerical methods; control of (non-)linear engineering systems

(This special issue belongs to the Section Engineering Mathematics)

Keywords: operations research; logistics management; supply chain management; planning under carbon footprint constraints; green manufacturing; Industry 5.0; mathematical methods; optimization; Internet of Things; population-based intelligent algorithms

(This special issue belongs to the Section Mathematics and Computer Science)

Keywords: graph and graph-based data classification and clustering; graph neural networks; graph topology learning from data; dynamic graph structures; vertex– frequency and wavelet analysis of signals on graphs; graph complexity and the complexity of signals on graphs; entropy and entropy-like measures; complexity measures; classical signal and image processing assisted by graph theory; graph filtering and adaptive processing; interpolation; subsampling and downscaling of graph signals and graphs; applications of graph data processing; applications of entropy and complexity-based measures

(This special issue belongs to the Section Mathematics and Computer Science)

Keywords: fuzzy sets; fuzzy systems; dynamic systems; control; fractional systems

(This special issue belongs to the Section Fuzzy Sets, Systems and Decision Making)

Keywords: evolutionary algorithms; genetic algorithms; metaheuristics; multi-objective optimisation; scheduling; logistics; machine learning; large-scale optimisation

(This special issue belongs to the Section Computational and Applied Mathematics)

Keywords: mathematical modeling and simulation; cyber– physical systems; digital twins; machine learning; knowledge modeling; autonomous systems; formal methods; formal verification and validation; fuzzy modeling

(This special issue belongs to the Section Engineering Mathematics)

Keywords: COVID-19; pandemic ethnic disparities; supply chain disruption; supply chain resilience; healthcare inequalities; supply chain sustainability

(This special issue belongs to the Section Computational and Applied Mathematics)

Keywords: fuzzy rules and reasoning; fuzzy set operations; fuzzy measures; fuzzy logic; fuzzy relations and relational computing; information granules and granular computing; fuzzy-based linguistic approximation; fuzzy set transformation and fuzzy arithmetic; higher type; higher order fuzzy sets and hybrid fuzzy sets; fuzzy partitions; fuzzy information fusion; fuzzy neurocomputing; granular fuzzy models; explainable artificial intelligence (XAI); fuzzy-based data mining; elicitation of membership functions; fuzzy decision theory; fuzzy control systems; fuzzy decision making; fuzzy-sets-theory-based applications

(This special issue belongs to the Section Fuzzy Sets, Systems and Decision Making)