Integral Transforms and Engineering. Theory, Methods, and Applications

✍ Scribed by Abdon Atangana, Ali Akgül

Publisher: CRC Press
Year: 2023
Tongue: English
Leaves: 472
Series: Mathematics and its Applications
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Cover
Half Title
Title Page
Copyright Page
Dedication
Contents
Preface
Authors
Chapter 1: Sumudu and Laplace Transforms
1.1. Definitions
1.2. Properties of Laplace and Sumudu transforms
1.2.1. Properties of Laplace
1.2.2. Properties of Sumudu
1.2.3. Some examples of Sumudu and Laplace transforms
Chapter 2: Transfer Functions and Diagrams
Chapter 3: Analysis of First-order Circuit Model 1
3.1. Analysis of first-order circuit model 1 with classical derivative
3.2. Analysis of first-order circuit model 1 with Caputo derivative
3.3. Analysis of first-order circuit model 1 with Caputo-Fabrizio derivative
3.4. Analysis of first-order circuit model 1 with Atangana-Baleanu derivative
Chapter 4: Analysis of First-order Circuit Model 2
4.1. Analysis of first-order circuit model 2 with classical derivative
4.2. Analysis of first-order circuit model 2 with Caputo derivative
4.3. Analysis of first-order circuit model 2 with Caputo-Fabrizio derivative
4.4. Analysis of first-order circuit model 2 with Atangana-Baleanu derivative
Chapter 5: Analysis of Noninverting Integrators Model 1
5.1. Analysis of Noninverting integrators model 1 with classical derivative
5.2. Analysis of Noninverting integrators model 1 with Caputo derivative
5.3. Analysis of Noninverting integrators model 1 with Caputo-Fabrizio derivative
5.4. Analysis of Noninverting integrators model 1 with Atangana-Baleanu derivative
Chapter 6: Analysis of Noninverting Integrators Model 2
6.1. Analysis of Noninverting integrators model 2 with classical derivative
6.2. Analysis of Noninverting integrators model 2 with Caputo derivative
6.3. Analysis of Noninverting integrators model 2 with Caputo-Fabrizio derivative
6.4. Analysis of Noninverting integrators model 2 with Atangana-Baleanu derivative
Chapter 7: Analysis of Lag Network Model
7.1. Analysis of lag network model with classical derivative
7.2. Analysis of lag network model with Caputo derivative
7.3. Analysis of lag network model with Caputo-Fabrizio derivative
7.4. Analysis of lag network model with Atangana-Baleanu derivative
Chapter 8: Analysis of Lead Network Model
8.1. Analysis of Analysis of lead network model with classical derivative
8.2. Analysis of lead network model with Caputo derivative
8.3. Analysis of lead network model with Caputo-Fabrizio derivative
8.4. Analysis of lead network model with Atangana-Baleanu derivative
Chapter 9: Analysis of First-order Circuit Model 3
9.1. Analysis of first-order circuit model 3 with classical derivative
9.2. Analysis of first-order circuit model 3 with Caputo derivative
9.3. Analysis of first-order circuit model 3 with Caputo-Fabrizio derivative
9.4. Analysis of first-order circuit model 3 with Atangana-Baleanu derivative
Chapter 10: Analysis of First-order Circuit Model 4
10.1. Analysis of first-order circuit model 4 with classical derivative
10.2. Analysis of first-order circuit model 4 with Caputo derivative
10.3. Analysis of first-order circuit model 4 with Caputo-Fabrizio derivative
10.4. Analysis of first-order circuit model 4 with Atangana-Baleanu derivative
Chapter 11: Analysis of First-order Circuit Model 5
11.1. Analysis of first-order circuit model 5 with classical derivative
11.2. Analysis of first-order circuit model 5 with Caputo derivative
11.3. Analysis of first-order circuit model 5 with Caputo-Fabrizio derivative
11.4. Analysis of first-order circuit model 5 with Atangana-Baleanu derivative
Chapter 12: Analysis of a Series RLC Circuit Model
12.1. Analysis of a series RLC Circuit model with classical derivative
12.2. Analysis of a series RLC Circuit model with Caputo derivative
12.3. Analysis of a series RLC Circuit model with Caputo-Fabrizio derivative
12.4. Analysis of a series RLC Circuit model with Atangana-Baleanu derivative
Chapter 13: Analysis of a Parallel RLC Circuit Model
13.1. Analysis of a parallel RLC circuit model with classical derivative
13.2. Analysis of a parallel RLC circuit model with Caputo derivative
13.3. Analysis of a parallel RLC circuit model with Caputo-Fabrizio derivative
13.4. Analysis of a parallel RLC circuit model with Atangana-Baleanu derivative
Chapter 14: Analysis of Higher Order Circuit Model 1
14.1. Analysis of higher order circuit model 1 with classical derivative
14.2. Analysis of higher order circuit model 1 with Caputo derivative
14.3. Analysis of higher order circuit model 1 with Caputo-Fabrizio derivative
14.4. Analysis of higher order circuit model 1 with Atangana-Baleanu derivative
Chapter 15: Analysis of Higher Order Circuit Model 2
15.1. Analysis of higher order circuit model 2 with classical derivative
15.2. Analysis of higher order circuit model 2 with Caputo derivative
15.3. Analysis of higher order circuit model 2 with Caputo-Fabrizio derivative
15.4. Analysis of higher order circuit model 2 with Atangana-Baleanu derivative
Chapter 16: Analysis of Higher Order Circuit Model 3
16.1. Analysis of higher order circuit model 3 with classical derivative
16.2. Analysis of higher order circuit model 3 with Caputo derivative
16.3. Analysis of higher order circuit model 3 with Cputo-Fabrizio derivative
16.4. Analysis of higher order circuit model 3 with Atangana-Baleanu derivative
Chapter 17: Nonlinear Model 1
Chapter 18: Chua Circuit Model
Chapter 19: Applications of the Circuit Problems
19.1. First problem
19.2. Second problem
19.3. Third problem
19.4. Fourth problem
19.5. Fifth problem
19.6. Sixth problem
19.7. Seventh problem
Chapter 20: Existence and Uniqueness of the Solution
20.1. First problem
20.2. Second problem
20.3. Third problem
20.4. Fourth problem
20.5. Fifth problem
20.6. Sixth problem
20.7. Seventh problem
Chapter 21: Non-Linear Stochastic RLC Systems
Chapter 22: Numerical Simulations of Some Circuit Problems
22.1. First problem
22.2. Second problem
22.3. Third problem
22.4. Fourth problem
Chapter 23: Applications of General Integral Transform
23.1. General Integral transform
23.1.1. Mohand transform
23.1.2. Sawi transform
23.1.3. Elzaki transform
23.1.4. Aboodh transform
23.1.5. Pourreza transform
23.1.6. a integral Laplace transform
23.1.7. Kamal transform
23.1.8. G transform
23.1.9. Natural transform
23.2. Integral transforms of some fractional differential equations
23.3. General transform of the Mittag-Leffler functions
23.3.1. Aboodh transform
23.3.2. Mohand transform
23.3.3. Sawi transform
23.3.4. Elzaki transform
23.3.5. Kamal transform
23.3.6. Pourreza transform
23.3.7. α integral Laplace transform
23.3.8. G transform
23.3.9. Natural transform
23.4. General transform of the equations
23.4.1. Elzaki transform
23.4.2. Aboodh transform
23.4.3. Pourreza transform
23.4.4. Mohand transform
23.4.5. Sawi transform
23.4.6. Kamal transform
23.4.7. G- transform
23.4.8. Natural transform
23.5. Applications I
23.5.1. Elzaki transform
23.5.2. Aboodh transform
23.5.3. Pourreza transform
23.5.4. Mohand transform
23.5.5. Sawi transform
23.5.6. Kamal transform
23.5.7. G- transform
23.5.8. Natural transform
23.5.9. α integral Laplace transform
23.6. Applications II
23.6.1. Elzaki transform
23.6.2. Aboodh transform
23.6.3. Pourreza transform
23.6.4. Mohand transform
23.6.5. Sawi transform
23.6.6. Kamal transform
23.6.7. G- transform
23.6.8. Natural transform
23.6.9. α integral Laplace transform
23.6.10. Applications III
23.6.11. Elzaki transform
23.6.12. Mohand transform
23.6.13. Kamal transform
23.6.14. Aboodh transform
23.6.15. Sawi transform
23.6.16. α-Integral Laplace transform
23.6.17. G- transform
23.6.18. Pourreza transform
23.6.19. Natural transform
23.6.20. Applications IV
23.6.21. Elzaki transform
23.6.22. Aboodh transform
23.6.23. Pourreza transform
23.6.24. Mohand transform
23.6.25. Sawi transform
23.6.26. Kamal transform
23.6.27. G transform
23.6.28. Natural transform
23.6.29. α integral Laplace transform
23.7. Application V
23.7.1. Elzaki transform
23.7.2. Aboodh transform
23.7.3. Pourreza transform
23.7.4. Mohand transform
23.7.5. Sawi transform
23.7.6. Kamal transform
23.7.7. G transform
23.7.8. Natural transform
23.7.9. α integral Laplace transform
23.8. Application VI
23.8.1. Elzaki transform
23.8.2. Aboodh transform
23.8.3. Pourreza transform
23.8.4. Mohand transform
23.8.5. Sawi transform
23.8.6. Kamal transform
23.8.7. G transform
23.8.8. Natural transform
23.8.9. α integral Laplace transform
23.8.10. Simulations
References
Index

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