Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization

Preface
Contents
A Generalized Coupled System of Impulsive Integro-Differential Evolution Equations with Mutual Boundary Values
1 Introduction
2 Preliminaries
3 Main Results
4 Examples
References
Density Functional Theory Study on the Electronic and Optical Properties of Graphene, Single-Walled Carbon Nanotube and C60
1 Introduction
2 Computational Methods
3 Results and Discussions
3.1 Electronic Structure
3.2 Optical Properties
4 Conclusion
References
A SIR Epedimic Model Involving Fractional Atangana Derivative
1 Introduction
2 Properties of Solutions
3 Equilibria and Their Local Stability
4 Global Stability
5 Numerical Result
6 Conclusion
References
Fuzzy Local Ring
1 Introduction
2 Preliminaries
2.1 FUZZY Sub-ring
2.2 Set of Fuzzy Points
3 Fuzzy Local Sub-rings
References
Gevrey Class Regularity for the 2D Subcritical Dissipative Quasi-geostrophic Equation in Critical Fourier-Besov-Morrey Spaces
1 Introduction
2 Preliminaries
3 Gevrey Class Regularity
3.1 Proof of Theorem 1
References
Ambient Ozone Concentrations Modelling Using Feedforward Backpropagation Neural Networks: Spatial Modeling over the Agadir City (Morocco)
1 Introduction
2 Methodology
2.1 Area Description
2.2 Data Collection
2.3 Data Treatment and Analysis
3 Artificial Neural Networks
3.1 Feed-Forward Back Propagation Neural Network (FFBP-NN)
3.2 Neural Network Development
4 Results and Discussion
5 Variable Importance Interpretation
6 Conclusion and Perspectives
References
Existence and Uniqueness of Solutions for Nonlinear Viscoelastic Plate Equation with p(x,t)- Laplacian Operator and Delay
1 Introduction
2 The Functions Space
3 Anisotropic Spaces of Functions Depending on x and t
4 Statement of the Problem
References
Notes on the Existence Results for Nonlinear Fractional Differential Equations with Fuzzy Boundary Conditions
1 Introduction
2 Preliminaries
2.1 Fractional Integral and Fractional Derivative of Fuzzy Function
3 Main Results
3.1 Illustrative Example
4 Conclusion and Future Work
References
Numerical Method Combinations Assessment for Transport-Dominated Problems in the CHIMERE Model: A Case Study of Agadir (Morocco)
1 Introduction
2 Methodology
2.1 CHIMERE Concept
2.2 The Transport Equation
2.3 Resolution Method
3 Results and Discussion
4 Conclusion
References
Generalized Solution of Transport Equation
1 Introduction
2 Preliminaries
3 Positive, Negative and Bounded Generalized Function
4 Existence and Uniqueness of the Generalized Solution
5 Application
References
Modeling and Comparative Application of Fuzzy Logic and Artificial Neural Network in the Systemic Control of a Wind Turbine Using DFIG
1 Introduction
2 Mathematical Modeling of the Wind System
2.1 Wind Turbine Model
2.2 Generalized and Simplified Model of DFIG
2.3 Inverter Modeling
2.4 DC Bus and Filter Models
3 Controller Synthesis
3.1 Synthesis of the Fuzzy Regulator
3.2 ANN Controller Synthesis
4 Results and Discussions
4.1 Case 1: Simulation of DFIG Power Control by PI, FLC and ANN
4.2 Case 2: Simulation of the Wind System Control with PI, FLC and FLSA-PI
5 Conclusion
Appendix
References
Bayesian Inference of a Discrete Fractional SEIRD Model
1 Introduction
2 Fractional Difference Operator
3 A Fractional Discrete SEIRD Epidemic Model
3.1 SEIRD Model
3.2 Fractional SEIRD Model
4 Dynamic Properties
4.1 Disease Free Equilibrium (DFE) and the Basic Reproduction Number R0
4.2 Stability of DFE
5 Numerical Simulations
6 Conclusion
References
Existence and Uniqueness Results of Fuzzy Fractional Stochastic Differential Equations with Impulsive
1 Introduction
2 Preliminaries
3 Existance and Uniqueness of a Solution
4 Example
5 Conclusion
References
A New Smoothing Approach for Piecewise Smooth Functions: Application to Some Fundamental Functions
1 Introduction
2 A New Formulation for Piecewise Smooth Functions
3 Smoothing Approximations for One-Dimensional Case
4 Smoothing Approximations for Multiple-dimensional Case
5 Application to Some Fundamental Functions
6 Conclusion and Perspectives
References
Modeling and Vector Control of a Variable Speed Power Plant System Based on 5 MW DFIG
1 Introduction
2 Power Plant System Components Modeling
2.1 Model of the Wind Turbine
2.2 Model of the Gearbox
2.3 DFIG Modeling
3 MPPT Strategy
4 Vector Control Strategy Applied to DFIG
4.1 Vector Control of Rotor Side Converter
4.2 Grid Side Converter (GSC) Control
5 Simulation Results and Discussion
6 Conclusion
References
Stability for Delay SEIR Epidemic Models with Saturated Incidence Rates and Diffusion
1 Introduction
2 The Well-Posedness
3 Basic Reproduction Number and Existence of Equilibirum
4 Local Stability of the Equilibria for the SEIR Models
4.1 Stability of Disease-Free Equilibirum P
4.2 Stability of Endemic Equilibirum P*
5 Global Stability of Disease-Free Equilibirum P
6 Numerical
7 Conclusion
References
Generalized Solution of Non-homogeneous Wave Equation
1 Introduction
2 Preliminaries
3 Application
4 Association with classical solution
References
Fuzzy Fractional Equation with Derivative of Atangana-Baleanu and Fuzzy Semigroup
1 Introduction
2 Preliminaries
3 Fuzzy Strongly Continuous Semigroup
4 Main Results
References
Pricing and Hedging of Swaptions: Setting up a Pricer of Interest Rate Swaptions
1 Introduction
2 Swaps
3 Interest Rate Swaps Valuation
3.1 The Swap as a Bond Portfolio
3.2 Valuation of Swaps in Terms of FRA (Forward Rate Agreement)
3.3 Applications
4 Swaptions
4.1 Concept and Operations
5 Valuation of Interest Rate Swaption
5.1 Black 76 Model
5.2 Hull-White (One-Factor) Model
6 Implied Volatility
7 Cover Strategies with Swaption
8 Conclusion
References
Non-linear Age-Dependent Population Dynamics with Spatial Diffusion
1 Introduction
2 Assumptions and Notations
2.1 Assumptions
2.2 Notations
3 Main Results
3.1 Separable Solution
4 Conclusion
References
An Epidemiological Model ``Covid 19 British Variant''
1 Introduction
2 Diagram Transmission of Covid-19 British Variant Between Human
3 Numerical Results and Discussion:
References
Existence and Uniqueness of Solutions for a Second-Order Iterative Fractional Conformable Boundary Value Problem
1 Introduction
2 Preliminary Results and Definitions
3 Main Results
4 Illustrated Example
5 Conclusion
References
A System Coupled of Nonlinear Impulsive Differential Equations
1 Introduction
2 Notations and Preliminaries
3 Main Results
4 Conclusion
References
Existence and Uniqueness of Weak Solution for a Class of Nonlinear Degenerate Elliptic Problems in Weighted Sobolev Spaces
1 Introduction
2 Mathematical Preliminaries
3 Basic Assumptions and Notion of Solutions
3.1 Basic Assumptions
3.2 Notions of Solutions
4 Main General Result
5 Example
6 Conclusion
References
Unbounded Optimal Control of a Class of Distributed Bilinear Systems
1 Introduction
2 Existence of an Optimal Control
3 Characterization of an Optimal Control
4 Numerical Approach and Simulations
5 Conclusion
References
Approximate Bayesian Estimation of Parameters of an Agent-Based Model in Epidemiology
1 Introduction
2 Agent-Based Model Proposed
2.1 Mechanism of Disease Spread
2.2 Simulation Algorithm
3 Dynamic of the Introduced Model: Simulation Study
4 Estimation of Model Parameters
5 Evaluation of the Estimation Algorithm
6 Conclusion
References
Numerical Simulation of CdS/GaSe Solar Cell Using SCAPs Simulation Software
1 Introduction
2 Methodology
3 Results and Discussions
3.1 Effect of Variation of Buffer Layer Thickness and Carrier Concentration
3.2 Effect of Variation of Absorption Layer Thickness and Carrier Concentration
3.3 Effect of Variation of Temperature
3.4 Effect of Variation of Resistance Rs and Rsh
4 Conclusion
References
Amalgamation over a Graded Ring
1 Introduction
2 Graded Ideal and Graded Primary Ideal in Amalgamated Algebra Along an Ideal
3 Homological Properties of Amalgamation over a Graded Module
References
Generalized Derivations of Tensor Products of Algebras
1 Introduction
2 Preliminaries Results
3 Results: Generalized Derivation and Tensor Products of Algebras
3.1 Generalized Derivation and Tensor Products
4 Results: Generalized Derivation and Tensor Products of Algebras
4.1 Generalized Derivation and Tensor Products
4.2 Main Results
References
A Generalized Fixed Points for Multi-valued Mappings in G-Metric Spaces and Applications
1 Introduction and Preliminary
2 Main Results
3 Consequences of the Main Result
4 Applications
References
On Intuitionistic Fuzzy Sumudu Transform for Intuitionistic Fuzzy Differential Equations
1 Introduction
2 Preliminaries
3 Intuitionistic Fuzzy Sumudu Transform
3.1 Duality Properties of Intuitionistic Fuzzy Laplace Transform and Intuitionistic Fuzzy Sumudu Transform
3.2 Fundamental Theorems and Properties of Intuitionistic Fuzzy Sumudu Transform
4 Procedure for Solving First Order Intuitionistic Fuzzy Differential Equations
5 Example
References
Entropy Solution of Nonlinear Elliptic p(u)-Laplacian Problem
1 Introduction
2 Preliminaries
3 Main Results
References
Valuing Option Under Double Heston Jump-Diffusion Model with Stochastic Interest Rate and Approximative Fractional Brownian Motion
1 Introduction
2 The Model
3 Numerical Discussion
4 Conclusion
References
On a Nonlinear Equation p(x)-Elliptic Problem of Neumann Type by Topological Degree Method
1 Introduction
2 Mathematical Preliminaries
2.1 Classes of Mappings and Topological Degree
2.2 Weighted Variable Lebesgue and Sobolev Spaces
3 Basic Assumptions and Technical Lemmas
4 Main Results
References
Nonlinear Elliptic Problems in Weighted Variable Exponent Sobolev Spaces with Nonlocal Boundary Conditions
1 Introduction
2 Preliminaries
3 Essential Assumption and Main Result
3.1 Assumptions
3.2 Existence Results
References
Intuitionistic Fuzzy Algebraic Field Extensions
1 Preliminaries
References
Nanoparticles Shape Effect on Heat Transfer by Natural Convection of Nanofluid in a Vertical Porous Cylindrical Enclosure Subjected to a Heat Flux
1 Introduction
2 Problem Configuration
3 Gouverning Equations and Boundary Conditions
4 Numerical Methods
5 Results and Discussion
6 Conclusion
References
Coupled System of Mixed Hybrid Fractional Differential Equations: Linear Perturbations of First and Second Type
1 Introduction
2 Preliminaries
3 Existence Result
References
On a Wilson Vector-Matrix Functional Equation
1 Set Up, Notation and Terminology
2 Introduction
3 Basic Results
4 Main Results
References
Existence of Solution of Intuitionistic Fuzzy Transport Equation Based on Generalized Differentiability
1 Introduction
2 Preliminaries
2.1 Intuitionistic Fuzzy Sets
2.2 Intuitionistic Fuzzy Numbers
3 Homogenous Transport Equation
4 Nonhomogeneous Transport Equation
5 Equation by Non-precise Speed
6 Conclusion
References
Author Index