Fractional Order Systems and Applications in Engineering

Dumitru Baleanu, Valentina Emilia Balas, Praveen Agarwal, Agarwal Praveen

• Publisher: Academic Press
• Year: 2022
• Print ISBN:
  9780323909532
• eBook ISBN:
  9780323909549
• Topic: Biological Sciences
• Subtopic: Biotechnology
• Index: Biological Sciences

Fractional Order Systems and Applications in Engineering presents the use of fractional calculus (calculus of non-integer order) in the description and modelling of systems and in a range of control design and practical applications. The book covers the fundamentals of fractional calculus together with some analytical and numerical techniques, and provides MATLAB® codes for the simulation of fractional-order control (FOC) systems. The use of fractional calculus can improve and generalize well-established control methods and strategies. Many different FOC schemes are presented for control and dynamic systems problems. These extend to the challenging control engineering design problems of robust and nonlinear control. Practical material relating to a wide variety of applications including, among others, mechatronics, civil engineering, irrigation and water management, and biological systems is also provided. All the control schemes and applications are presented with either system simulation results or real experimental results, or both. Fractional Order Systems and Applications in Engineering introduces readers to the essentials of FOC and imbues them with a basic understanding of FOC concepts and methods. With this knowledge readers can extend their use of FOC in other industrial system applications, thereby expanding their range of disciplines by exploiting this versatile new set of control techniques. - Provides the most recent and up-to-date developments on the Fractional-order Systems and their analyzing process - Integrates recent advancements of modeling of real phenomena (on Fractional-order Systems) via different-different mathematical equations with demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering - Provides readers with illustrative examples of how to use the presented theories of Fractional-order Systems in specific cases with associated MATLAB code

Table of contents

• Title of Book
• Cover image
• Title page
• Table of Contents
• Copyright
• Contributors
• Preface
• Chapter 1 Complete synchronization of the time-fractional Chua reaction–diffusion system
• Chapter 2 New nonsymmetric and parametric divergences with particular cases
• Chapter 3 Analytical solutions of some fractional diffusion boundary value problems
• Chapter 4 An enhanced hybrid stochastic fractal search FOPID for speed control of DC motor
• Chapter 5 Fractional dynamics and metrics of deadly pandemic diseases
• Chapter 6 A numerical technique for solving fractional Benjamin–Bona–Mahony–Burgers equations with bibliometric analysis
• Chapter 7 Some roots and paths in the fractional calculus developing environment
• Chapter 8 Accruement of nonlinear dynamical system and its dynamics: electronics and cryptographic engineering
• Chapter 9 Some new integral inequalities via generalized proportional fractional integral operators for the classes of m-logarithmically convex functions
• Chapter 10 Application and optimization of a robust fractional-order FOPI-FOPID automatic generation controller for a multiarea interconnected hybrid power system
• Chapter 11 Fourth-order fractional diffusion equations: constructs and memory kernel effects
• Chapter 12 Analysis of COVID-19 outbreak using GIS and SEIR model
• Chapter 13 Hidden chaotic attractors in fractional-order discrete-time systems
• Chapter 14 Dynamical investigation and simulation of an incommensurate fractional-order model of COVID-19 outbreak with nonlinear saturated incidence rate
• Chapter 15 Weak Pontryagin's maximum principle for optimal control problems involving a general analytic kernel
• Chapter 16 Computational half-sweep preconditioned Gauss–Seidel method for time-fractional diffusion equations
• Chapter 17 Operational matrix approach for solving variable-order fractional integro-differential equations
• Chapter 18 On basic Humbert confluent hypergeometric functions
• Chapter 19 Derivatives of Horn's hypergeometric functions G1G1, G2G2, Γ1Γ1, and Γ2Γ2 with respect to their parameters
• Index