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|a 515.35
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|a UAMI
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|a Trigeassou, Jean-Claude.
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|a Analysis, Modeling, and Stability of Fractional Order Differential System :
|b the Infinite State Approach.
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|a Newark :
|b John Wiley & Sons, Incorporated,
|c 2019.
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| 300 |
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|a 1 online resource (320 pages)
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Print version record.
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|a Cover; Half-Title Page; Dedication; Title Page; Copyright Page; Contents; Foreword; Preface; PART 1: Simulation and Identification of Fractional Differential Equations (FDEs) and Systems (FDSs); 1. The Fractional Integrator; 1.1. Introduction; 1.2. Simulation and modeling of integer order ordinary differential equations; 1.2.1. Simulation with analog computers; 1.2.2. Simulation with digital computers; 1.2.3. Initial conditions; 1.2.4. State space representation and simulation diagram; 1.2.5. Concluding remarks; 1.3. Origin of fractional integration: repeated integration
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|a 1.4. Riemann-Liouville integration1.4.1. Definition; 1.4.2. Laplace transform of the Riemann-Liouville integral; 1.4.3. Fractional integration operator; 1.4.4. Fractional differentiation; 1.5. Simulation of FDEs with a fractional integrator; 1.5.1. Simulation of a one-derivative FDE; 1.5.2. FDE; 1.5.3. Simulation of the general linear FDE; A.1. Appendix; A.1.1. Lord Kelvin's principle; A.1.2. A brief history of analog computing; A.1.3. Interpretation of the RK2 algorithm; A.1.4. The gamma function; 2. Frequency Approach to the Synthesis of the Fractional Integrator; 2.1. Introduction
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|a 3.2. Simulation with the Grünwald-Letnikov approach3.2.1. Euler's technique; 3.2.2. The Grünwald-Letnikov fractional derivative; 3.2.3. Numerical simulation with the Grünwald-Letnikov integrator; 3.2.4. Some specificities of the Grünwald-Letnikov integrator; 3.2.5. Short memory principle; 3.3. Simulation with infinite state approach; 3.4. Caputo's initialization; 3.5. Numerical simulations; 3.5.1. Introduction; 3.5.2. Comparison of discrete impulse responses (DIRs); 3.5.3. Simulation accuracy; 3.5.4. Static error caused by the short memory principle; 3.5.5. Caputo's initialization
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|a 3.5.6. ConclusionA. 3. Appendix: Mittag-Leffler function; A.3.1. Definition; A.3.2. Laplace transform; A.3.3. Unit step response of 1/sn + a; A.3.4. Caputo's initialization; 4. Fractional Modeling of the Diffusive Interface; 4.1. Introduction; 4.2. Heat transfer and diffusive model of the plane wall; 4.2.1. Heat transfer; 4.2.2. Physical model of the diffusive interface; 4.2.3. Frequency analysis of the diffusive phenomenon; 4.2.4. Time analysis of the diffusive phenomenon; 4.2.5. Conclusion; 4.3. Fractional commensurate order models; 4.3.1. Physical origin
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|a 4.3.2. Analysis of physical commensurate order models
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 650 |
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|a Fractional differential equations.
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| 650 |
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|a Équations différentielles fractionnaires.
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| 650 |
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|a Fractional differential equations
|2 fast
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| 700 |
1 |
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|a Maamri, Nezha.
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| 758 |
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|i has work:
|a Analysis, modeling and stability of fractional order differential systems (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGVjdqJhym7TbFGcqdPb3P
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a Trigeassou, Jean-Claude.
|t Analysis, Modeling, and Stability of Fractional Order Differential System : The Infinite State Approach.
|d Newark : John Wiley & Sons, Incorporated, ©2019
|z 9781786302694
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| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5847782
|z Texto completo
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| 880 |
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|6 505-00/(S
|a 2.2. Frequency synthesis of the fractional derivator2.3. Frequency synthesis of the fractional integrator; 2.3.1. Objective; 2.3.2. Direct method; 2.3.3. Indirect method; 2.3.4. Frequency synthesis of 1/Sn; 2.4. State space representation of I nd (S); 2.5. Modal representation of I nd (S); 2.6. Numerical algorithm; 2.7. Frequency validation; 2.8. Time validation; 2.9. Internal state variables; A.2. Appendix: design of fractional integrator parameters; A.2.1. Definition of Gn; A.2.2. Definition of α and η; 3. Comparison of Two Simulation Techniques; 3.1. Introduction
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|a ProQuest Ebook Central
|b EBLB
|n EBL5847782
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| 994 |
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|a 92
|b IZTAP
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