Numerical Methods for Fractal-Fractional Differential Equations and Engineering
eBook - ePub

Numerical Methods for Fractal-Fractional Differential Equations and Engineering

Simulations and Modeling

  1. 412 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Numerical Methods for Fractal-Fractional Differential Equations and Engineering

Simulations and Modeling

About this book

This book is about the simulation and modeling of novel chaotic systems within the frame of fractal-fractional operators. The methods used, their convergence, stability, and error analysis are given, and this is the first book to offer mathematical modeling and simulations of chaotic problems with a wide range of fractal-fractional operators, to find solutions.

Numerical Methods for Fractal-Fractional Differential Equations and Engineering: Simulations and Modeling provides details for stability, convergence, and analysis along with numerical methods and their solution procedures for fractal-fractional operators. The book offers applications to chaotic problems and simulations using multiple fractal-fractional operators and concentrates on models that display chaos. The book details how these systems can be predictable for a while and then can appear to become random.

Practitioners, engineers, researchers, and senior undergraduate and graduate students from mathematics and engineering disciplines will find this book of interest._

Information

Publisher
CRC Press
Year
2023
Print ISBN
9781032415222
eBook ISBN
9781000874822
Topic
Mathematics
Subtopic
Operations
Index
Mathematics

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Dedication Page
  7. Contents
  8. Preface
  9. Acknowledgement
  10. Contributors
  11. Chapter 1 Basic Principle of Nonlocalities
  12. Chapter 2 Basic of Fractional Operators
  13. Chapter 3 Definitions of Fractal-Fractional Operators with Numerical Approximations
  14. Chapter 4 Error Analysis
  15. Chapter 5 Existence and Uniqueness of Fractal Fractional Differential Equations
  16. Chapter 6 A Numerical Solution of Fractal-Fractional ODE with Linear Interpolation
  17. Chapter 7 Numerical Scheme of Fractal-Fractional ODE with Middle Point Interpolation
  18. Chapter 8 Fractal-Fractional Euler Method
  19. Chapter 9 Application of Fractal-Fractional Operators to a Chaotic Model
  20. Chapter 10 Fractal-Fractional Modified Chua Chaotic Attractor
  21. Chapter 11 Application of Fractal-Fractional Operators to Study a New Chaotic Model
  22. Chapter 12 Fractal-Fractional Operators and Their Application to a Chaotic System with Sinusoidal Component
  23. Chapter 13 Application of Fractal-Fractional Operators to Four-Scroll Chaotic System
  24. Chapter 14 Application of Fractal-Fractional Operators to a Novel Chaotic Model
  25. Chapter 15 A 4D Chaotic System under Fractal-Fractional Operators
  26. Chapter 16 Self-Excited and Hidden Attractors through Fractal-Fractional Operators
  27. Chapter 17 Dynamical Analysis of a Chaotic Model in Fractal-Fractional Operators
  28. Chapter 18 A Chaotic Cancer Model in Fractal-Fractional Operators
  29. Chapter 19 A Multiple Chaotic Attractor Model under Fractal-Fractional Operators
  30. Chapter 20 The Dynamics of Multiple Chaotic Attractor with Fractal-Fractional Operators
  31. Chapter 21 Dynamics of 3D Chaotic Systems with Fractal-Fractional Operators
  32. Chapter 22 The Hidden Attractors Model with Fractal-Fractional Operators
  33. Chapter 23 An SIR Epidemic Model with Fractal-Fractional Derivative
  34. Chapter 24 Application of Fractal-Fractional Operators to COVID-19 Infection
  35. References
  36. Index

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Yes, you can access Numerical Methods for Fractal-Fractional Differential Equations and Engineering by Muhammad Altaf Khan,Abdon Atangana in PDF and/or ePUB format, as well as other popular books in Mathematics & Operations. We have over one million books available in our catalogue for you to explore.