Advanced Applications of Fractional Differential Operators to Science and Technology

Advanced Applications of Fractional Differential Operators to Science and Technology
PDF
  • eBook:
    Advanced Applications of Fractional Differential Operators to Science and Technology
  • Author:
    Ahmed Ezzat Matouk
  • Edition:
    1 edition
  • Categories:
  • Data:
    April 24, 2020
  • ISBN:
    1799831221
  • ISBN-13:
    9781799831228
  • Language:
    English
  • Pages:
    401 pages
  • Format:
    PDF

Book Description
Fractional-order calculus dates to the 19th century but has been resurrected as a prevalent research subject due to its provision of more adequate and realistic descriptions of physical aspects within the science and engineering fields. What was once a classical form of mathematics is currently being reintroduced as a new modeling technique that engineers and scientists are finding modern uses for. There is a need for research on all facets of these fractional-order systems and studies of its potential applications.
Advanced Applications of Fractional Differential Operators to Science and Technology provides emerging research exploring the theoretical and practical aspects of novel fractional modeling and related dynamical behaviors as well as its applications within the fields of physical sciences and engineering. Featuring coverage on a broad range of topics such as chaotic dynamics, ecological models, and bifurcation control, this book is ideally designed for engineering professionals, mathematicians, physicists, analysts, researchers, educators, and students seeking current research on fractional calculus and other applied mathematical modeling techniques.

Content

Section 1 - Fractional-Order Calculus in Biological Models
Chapter 1. Fractional-Order Calculus in Antimicrobial Resistance and Waning Vaccination
Chapter 2. Bifurcation and Chaos in a Discrete Fractional-Order Prey-Predator System Involving Allee Effect
Chapter 3. Application of Fractional Optimal Control Problems on Some Mathematical Bioscience

Section 2 - Chaotic Dynamics of Fractional-Order Systems
Chapter 4. Dynamics of Some Discretized Fractional-Order Differential Equations
Chapter 5. On the Influence of Fractional Derivative on Chaos Control of a New Fractional-Order Hyperchaotic System
Chapter 6. Synchronization of Fractional-Order Hyperchaotic Finance Systems Using Sliding Mode Control Techniques

Section 3 - Applications of Fractional Derivatives to Physics
Chapter 7. Generalized Brinkman Type Dusty Fluid Model for Blood Flow
Chapter 8. Revisiting Anomalous g-Factors for Charged Leptons in a Fractional Coarse-Grained Approach With Axiomatic Local Metric Derivatives
Chapter 9. Properties of Spatial-Rotation Transformations of Fractional Derivatives
Chapter 10. On the Approximate Solution of Caputo-Riesz-Feller Fractional Diffusion Equation

Section 4 - New Trends in Applied Mathematics
Chapter 11. Generalized Fractional Ostrowski’s Type Inequalities Involving Riemann-Liouville Fractional Integration
Chapter 12. The Invariant Subspace Method for Solving Fractional Partial Differential Equations
Chapter 13. Apparent Measure, Integral of Real Order, and Relative Dimension

Section 5 - Applications of Fractional Calculus to Engineering
Chapter 14. Fractional-Order-Based Inferential Control: A Case Study for the Level Control of Three Interacting Tank Processes
Chapter 15. On the Application of Fractional Derivatives to the Study of Memristor Dynamics

Download Advanced Applications of Fractional Differential Operators to Science and Technology PDF or ePUB format free


Free sample

Download in .PDF format



Add comments
Прокомментировать
Введите код с картинки:*
Кликните на изображение чтобы обновить код, если он неразборчив
Copyright © 2019