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Fractional calculus : applications /
After presenting the first volume of this two-volume book, presenting a lot of mathematical and theoretical studies and research related to non-integer calculus, the second volume illustrates applications related to this domain. This volume is made up of 11 chapters. The first chapter presents the h...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Hauppauge, New York :
Nova Science Publishers, Inc.,
[2014]
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| Colección: | Mathematics research developments series.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Fractional calculus : |b applications / |c editors, Roy Abi Zeid Daou and Xavier Moreau (Lebanese German University, Sahel Alma Campus, Keserwane, Lebanon, and University of Bordeaux). |
| 264 | 1 | |a Hauppauge, New York : |b Nova Science Publishers, Inc., |c [2014] | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Mathematics Research Developments | |
| 500 | |a Includes index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a FRACTIONAL CALCULUS: APPLICATIONS; FRACTIONAL CALCULUS: APPLICATIONS; LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA; CONTENTS; FOREWORD; PREFACE; Chapter 1: THE HEURISTIC POWER OF THE NON INTEGERDIFFERENTIAL OPERATOR IN PHYSICS:FROM CHAOS TO EMERGENCE, AUTO-ORGANISATIONS AND HOLISTIC RULES; Abstract; 1. Introduction; 2. A Nice Equation for an Heuristic Power; 3. SWOT Method, Non Integer Diff-Integral and Co-Dimension; 4. The Generalization of the Exponential Concept; 5. Diffusion Under Field; 6. Riemann Zeta Function and Non-Integer Differentiation; 7. Auto Organization and Emergence. | |
| 505 | 8 | |a ConclusionAcknowledgment; References; Chapter 2: DYNAMICS OF FRACTIONAL ORDER CHAOTIC SYSTEMS; Abstract; 1. Introduction; 2. Preliminaries; 3. The Model; 4. Numerical Simulations; 5. Synchronization; 6. Conclusion; Acknowledgments; References; Chapter 3: PRESSURE CONTROL OF CNG ENGINESBY NON-INTEGER ORDER CONTROLLERS:A NEW TREND IN APPLICATION OF FRACTIONALCALCULUS TO AUTOMOTIVE SYSTEMS; Abstract; 1. Introduction: A Short Literature Review; 2. The Injection System; 3. The Control Strategy: Switching of Fractional Order Controllers by Gain Scheduling; 4. Fractional Order Control Design. | |
| 505 | 8 | |a 5. Simulation Results6. Conclusion; Acknowledgment; References; Chapter 4: LINEAR INTEGER ORDER SYSTEM CONTROL BY FRACTIONAL PI-STATE FEEDBACK; Abstract; Introduction; 1. Basic Definitions and Preliminaries; 2. Pole Placement Based Design of the Fractional Pi-State Feedback; 3. Bode's Ideal Transfer Function Based Design of FractionalPi-State Feedback; 5. Inverted Pendulum-Cart System Modeling and Swing-UpControl; 5. Implementation of the Fractional PI-State Feedbackto Stabilize the Inverted Pendulum-Cart System; Conclusion; Acknowledgments; References. | |
| 505 | 8 | |a Chapter 5: FROM THE FORMAL CONCEPT ANALYSISTO THE NUMERICAL SIMULATION OF THE THERMALDIFFUSION PHENOMENA IN A FINITE MEDIUMAbstract; 1. Context and Problematic; 2. Parameters and Definitions; 3. Semi-Infinite Plane; 4. Responses in the Semi-Infinite Plane; 5. Finite Plane; 6. Responses in Finite Plane; 7. Simulink Responses; Conclusion; References; Chapter 6: TEMPERATURE CONTROL OF A DIFFUSIVE MEDIUMUSING THE CRONE APPROACH; Abstract; 1. Introduction; 2. Modelling; 3. Temperature Control; 4. Conclusion; References. | |
| 505 | 8 | |a Chapter 7: ADAPTIVE SECOND-ORDER FRACTIONALSLIDING MODE CONTROL WITH APPLICATIONTO WATER TANKS LEVEL CONTROLAbstract; 1. Introduction; 2. Preliminaries; 3. Second Order Sliding Mode Control Strategy; 4. Adaptation Law Synthesis; 5. Numerical Studies; Conclusion; References; Chapter 8: FEATURES OF FRACTIONAL OPERATORSINVOLVING FRACTIONAL DERIVATIVESAND THEIR APPLICATIONS TO THE PROBLEMSOF MECHANICS OF SOLIDS; Abstract; 1. Introduction; 2. Rabotnov's Fractional Operators and Main Formulas of Algebra of Fractional Operators; 3. Generalized Rabotnov OperatorsGeneralized. | |
| 520 | |a After presenting the first volume of this two-volume book, presenting a lot of mathematical and theoretical studies and research related to non-integer calculus, the second volume illustrates applications related to this domain. This volume is made up of 11 chapters. The first chapter presents the heuristic power of the non-integer differential operators in physics starting from the chaos to the emergence, the auto-organizations and the holistic rules. The second chapter shows the dynamics of the fractional order chaotic systems along with some applications. The third chapter represents the pr. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Fractional calculus. | |
| 650 | 0 | |a Calculus. | |
| 650 | 6 | |a Dérivées fractionnaires. | |
| 650 | 6 | |a Calcul infinitésimal. | |
| 650 | 7 | |a calculus. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Calculus |2 fast | |
| 650 | 7 | |a Fractional calculus |2 fast | |
| 700 | 1 | |a Abi Zeid Daou, Roy, |e editor. | |
| 700 | 1 | |a Moreau, Xavier, |d 1966- |e editor. | |
| 776 | 0 | 8 | |i Print version: |t Fractional calculus |z 9781634632218 |w (DLC) 2014038042 |w (OCoLC)891369594 |
| 830 | 0 | |a Mathematics research developments series. | |
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