Contents
About the Editors
Fuzzy Kernel-Based Clustering and Support Vector Machine Algorithm in Analyzing Cerebral Infarction Dataset
1 Introduction
2 Materials and Methods
2.1 Clustering Method
2.2 Classification Method
3 Data
4 Experiment Result
5 Discussion
6 Conclusion
References
A Predator-Prey Model with Fear Factor, Allee Effect and Periodic Harvesting
1 Introduction
2 Mathematical Model
3 Model Analysis
3.1 Non-dimensionalization of the Model
3.2 Equilibrium Points and Their Stability
3.3 Phase Portrait of the Model
4 Autonomous Simulations
4.1 Effect of Fear Factor
4.2 Effect of Harvesting Rate
4.3 Effect of Time Scale Separation
5 Conclusions
References
Mathematical Modeling of Rock Massif Dynamics Under Explosive Sources of Disturbances
1 Introduction
2 Motion Equations
3 Dynamical Green’s Tensor and Fundamental Stress Tensor
4 Generalized Solution
5 Wave Propagation in Anisotropic Media
6 Conclusion
References
Residual Power Series Approach for Solving Linear Fractional Swift-Hohenberg Problems
1 Introduction
2 Preliminaries
3 Analysis of the RPS Method
4 Numerical Applications
5 Conclusion
References
Kernel-Based Fuzzy Clustering for Sinusitis Dataset
1 Introduction
2 Materials and Methods
2.1 Kernel Function
2.2 Kernelized Fuzzy C-Means (KFCM)
2.3 Kernelized Possibilistic C-Means (KPCM)
2.4 Kernelized Fuzzy Possibilistic C-Means (KFPCM)
2.5 Kernelized Possibilistic Fuzzy C-Means (KPFCM)
2.6 Statistical Measurement
3 Dataset
4 Experiment and Result
5 Discussion
6 Conclusion
References
Mathematical Modelling for Complex Biochemical Networks and Identification of Fast and Slow Reactions
1 Introduction
2 Methods
3 Non-competitive Inhibition Enzymatic Reactions
3.1 Case A: One Fast Reaction
3.2 Case B: Two Fast Reactions
4 An Algorithm for Identifying Slow and Fast Reactions
4.1 Dihydrofolate Reductase (DHFR) Pathways
5 Conclusions
References
Stress Analysis in Anisotropic Rock Massif by the 2Dimensional BIE Method
1 Introduction
2 Statement of Problem
3 Somigliana Formulas in Distribution Space
3.1 Basic Equation in Distributions Space
3.2 Fundamental Solution, Somigliana and Stress Formulas
3.3 Gauss Formula and Regular Presentation of Somigliana and Stress Formulas
4 Some Numerical Results
4.1 Compare with Analytical Solution for Exterior Problem of Infinite Domain
4.2 Stress Strain State of Rock Massif with Rectangular Chambers
5 Conclusion
References
Class of Integral Operators for a Set of Boehmians Functions
1 Preliminaries
2 Convolution Products and Necessary Theorems
3 Spaces of Boehmians
4 The Meijer Type Integral for Boehmians
References
Inequalities for Curve and Surface Integrals
1 Introduction
2 Affine Combinations in the Plane and Space
3 Main Results
4 Inequalities for Curve Integrals
5 Inequalities for Surface Integrals
References
Numerical Simulation of Conformable Fuzzy Differential Equations
1 Introduction
2 Conformable Fuzzy Fractional Derivative
3 Algorithm of Conformable FFDEs
4 Numerical Simulation and Discussion
5 Summary and Future Work
References
Identities for the Hermite-Based Fubini Polynomials
1 Introduction and Notation
2 Hermite-Based Fubini-Type Polynomials
References
On Subclasses of Uniformly Convex Functions Generated by Touchard Polynomials Associated with Conic Regions
1 Introduction and Preliminary
2 Main Results
References
Curvature Tensors of Screen Semi-invariant Half-Lightlike Submanifolds of a Semi-Riemannian Product Manifold with Quarter-Symmetric Non-metric Connection
1 Introduction
2 Screen Semi-invariant Lightlike Submanifolds
3 Curvature Tensor with Respect to Quarter-Symmetric Non-metric Connection
4 Conclusion
References
Viscosity Modification with Inertial Forward-Backward Splitting Methods for Solving Inclusion Problems
1 Introduction
2 Preliminaries and Lemmas
3 Strong Convergence Results
4 Linear System for a Meaningful Least Squares Solution
5 Conclusion
References
Convergence Theorems for Two Quasi-nonexpansive Multivalued Mappings by Modifying S-Iterations
1 Introduction
2 Preliminaries and Lemmas
3 Main Results
References
Certain Properties of a Subclass of Multivalent Analytic Functions Using Multiplier Transformation
1 Introductory Framework
2 Preliminary Lemmas
3 Inclusion Relationships
4 Properties Involving the Operator Qpm(c,d)
5 Majorization Properties
References
Inequalities for m-Convex Functions via Ψ-Caputo Fractional Derivatives
1 Introduction
2 Main Results
3 Conclusion
References
A Certain Group Acting on a C-Algebra Generated by Countable Infinitely Many Semicircular Elements
1 Introduction
1.1 Background
1.2 Motivation
1.3 Overview
2 Preliminaries
2.1 Free Probability
2.2 Semicircular Elements
3 Relations on Catalan Numbers
4 Joint Free Distributions of Multi Semicircular Elements
4.1 Free-Distributional Data (4.0.2) of
4.2 Free-Distributional Data (4.0.3) of
4.3 Asymptotic Properties of ( X[Is])
4.4 Conclusion: The Free Distribution x1,...,xN of (4.0.1)
5 A C-Probability Space ( X, ) Generated by | N|-Many Semicircular Elements
5.1 Free-Isomorphic Relations
5.2 A C*-Probability Space ( X, X)
5.3 Free-Distributional Data on X
6 Certain Free-Isomorphisms on X
6.1 Shifts on Z
6.2 Integer Shifts on X
6.3 Deformed Free Probability on X by
References