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With the aim to better understand nature, mathematical tools are being used nowadays in many different fields. The concept of integral transforms, in particular, has been found to be a useful mathematical tool for solving a variety of problems not only in mathematics, but also in various other branches of science, engineering, and technology.
Integral Transforms and Engineering: Theory, Methods, and Applications presents a mathematical analysis of integral transforms and their applications. The book illustrates the possibility of obtaining transfer functions using different integral transforms, especially when mapping any function into the frequency domain. Various differential operators, models, and applications are included such as classical derivative, Caputo derivative, Caputo-Fabrizio derivative, and Atangana-Baleanu derivative.
This book is a useful reference for practitioners, engineers, researchers, and graduate students in mathematics, applied sciences, engineering, and technology fields.
Preface
Chapter 1 Sumudu and Laplace Transforms
Chapter 2 Transfer Functions and Diagrams
Chapter 3 Analysis of First-order Circuit Model 1
Chapter 4 Analysis of First-order Circuit Model 2
Chapter 5 Analysis of Noninverting Integrators Model 1
Chapter 6 Analysis of Noninverting Integrators Model 2
Chapter 7 Analysis of Lag Network Model
Chapter 8 Analysis of Lead Network Model
Chapter 9 Analysis of First-order Circuit Model 3
Chapter 10 Analysis of First-order Circuit Model 4
Chapter 11 Analysis of First-order Circuit Model 5
Chapter 12 Analysis of a Series RLC Circuit Model
Chapter 13 Analysis of a Parallel RLC Circuit Model
Chapter 14 Analysis of Higher Order Circuit Model 1
Chapter 15 Analysis of Higher Order Circuit Model 2
Chapter 16 Analysis of Higher Order Circuit Model 3
Chapter 17 Nonlinear Model
Chapter 18 Chua Circuit Model
Chapter 19 Applications of the Circuit Problems
Chapter 20 Existence and Uniqueness of the Solution
Chapter 21 Non-Linear Stochastic RLC Systems
Chapter 22 Numerical Simulations of Some Circuit Problems
Chapter 23 Applications of General Integral Transform