Handbook of Fractional Calculus for Engineering and Science

Fractional calculus is a branch of mathematics that deals with the study of fractional numbers and their applications. It is used to model many real-life situations in science and engineering, such as heat transfer, fluid flow, and electrical circuits. This Handbook provides reliable methods for solving fractional-order models in science and engineering, including efficient numerical methods and algorithms. It also compares different methods for accuracy and validity and demonstrates the applicability of fractional calculus in science and engineering. The book is useful for graduate students, PhD students, researchers, and educators interested in mathematical modelling, physical sciences, engineering sciences, applied mathematical sciences, and applied sciences.

Format: Hardback
Length: 302 pages
Publication date: 17 February 2022
Publisher: Taylor & Francis Ltd

Fractional calculus is a powerful tool that models a wide range of real-life situations from science and engineering. This comprehensive book covers various topics related to fractional equations and their applications in various scientific fields. It provides readers with essential and practical methods and techniques for solving various types of fractional-order models encountered in science and engineering.

The book is designed for graduate students, PhD students, researchers, and educators interested in mathematical modeling, physical sciences, engineering sciences, applied mathematical sciences, and applied sciences. It offers a comprehensive overview of fractional calculus, including its theoretical foundations, mathematical techniques, and practical applications.

Chapter 1 provides an introduction to fractional calculus, explaining its origins. It discusses the historical background, the need for fractional calculus, and the basic concepts and definitions used in the field. Chapter 2 covers the basics of fractional differential equations, including their definition, properties, and solutions. It also introduces the concept of fractional operators and their applications.

Chapter 3 explores the concept of fractional integral equations, including their definition, properties, and solutions. It also discusses the methods for solving fractional integral equations, such as the Riemann-Liouville fractional integral operator and the Caputo fractional derivative. Chapter 4 discusses the applications of fractional calculus in science and engineering. It covers topics such as heat transfer, fluid dynamics, chemical reactions, and electrical circuits.

Chapter 5 provides a comprehensive review of numerical methods for solving fractional-order models. It covers methods such as the finite difference method, the finite element method, and the method of moments. It also discusses the stability and convergence of these methods and their applications in engineering.

Chapter 6 examines the qualitative and quantitative properties of solutions of fractional-order models. It discusses the behavior of solutions, including singularities, stability, and convergence. It also provides examples of applications of fractional calculus equations in science and engineering, such as modeling the behavior of materials, fluids, and biological systems.

Chapter 7 discusses the theoretical foundations of fractional calculus, including the concept of fractional derivatives, fractional integrals, and fractional operators. It also discusses the applications of fractional calculus.

Chapter 8 provides a summary.
Fractional calculus

Fractional calculus

Fractional calculus

Fractional calculus

Fractional calculus is a powerful tool that models a wide range of real-life situations from science and engineering. This comprehensive book covers various topics related to fractional equations and their applications in various scientific fields. It provides readers. Readers with essential and practical methods and techniques for solving various types of fractional-order models encountered in science and engineering.

The book is designed for graduate students, PhD students, researchers, and educators. It offers a comprehensive overview of fractional calculus. It covers the theoretical foundations, mathematical techniques, and practical applications.

Chapter 1 provides an introduction to fractional calculus. It discusses the historical foundations. It discusses the historical background. It discusses the need for fractional calculus. It discusses the basic concepts and definitions. It discusses the definitions. It discusses the properties. It discusses the solutions. It also introduces the concept of fractional operators. It also discusses the applications.

Chapter 2 covers the basics. It discusses the basics. It discusses the basics. It discusses the properties. It discusses the solutions. It also discusses the methods. It also discusses the applications.

Chapter 3 explores the concept. It discusses the concept. It discusses the concept. It discusses the concept. It discusses the concept. It discusses the concept. It also discusses the methods. It also discusses the applications.

Chapter 4 discusses the applications. It covers topics such as heat transfer, fluid dynamics, chemical reactions, and electrical circuits.

Chapter 5 provides a comprehensive review of numerical methods. It covers methods such as the finite difference method, the finite element method, and the method of moments. It also discusses the stability and convergence. It also discusses the applications.

Chapter 6 examines the qualitative and quantitative properties. It discusses the behavior. It discusses the behavior. It discusses the behavior. It also provides examples of applications.

Chapter 7 discusses the theoretical foundations. It discusses the concept. It discusses the concept. It discusses the concept. It also discusses the applications.

Chapter 8 provides a comprehensive review.

Weight: 748g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032047799