Integral Transforms and Engineering: Theory, Methods, and Applications

ISBN-13: 9781032416830 / Angielski / Twarda / 2023 / 488 str.

Abdon Atangana; Ali Akgül

Opis

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.

Spis treści

1. Sumudu and Laplace transforms. 2. Transfer functions and diagrams. 3. Analysis of first order circuit model 1. 4. Analysis of first order circuit model 2. 5. Analysis of noninverting integrators model 1. 6. Analysis of Noninverting integrators model 2. 7. Analysis of lag network model. 8. Analysis of lead network model. 9. Analysis of first order circuit model 3. 10. Analysis of first order circuit model 4. 11. Analysis of first order circuit model 5. 12. Analysis of a series RLC Circuit model. 13. Analysis of a parallel RLC circuit model. 14. Analysis of higher order circuit model 1. 15. Analysis of higher order circuit model 2. 16. Analysis of higher order circuit model 3. 17. Nonlinear Model 1. 18. Chua circuit model. 19. Applications of the circuit problems. 20. Existence and uniqueness of the solution. 21. Non-Linear stochastic RLC systems. 22. Numerical simulations of some circuit problems. 23. Applications of general integral transform. Conclusion. References.