Fractional calculus : applications /
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| Imprint: | Hauppauge, New York : Nova Science Publishers, Inc., [2014] |
|---|---|
| Description: | 1 online resource. |
| Language: | English |
| Series: | Mathematics Research Developments Mathematics research developments series. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11240254 |
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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. | ||
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| 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. | ||
| 650 | 0 | |a Fractional calculus. |0 http://id.loc.gov/authorities/subjects/sh93004015 | |
| 650 | 0 | |a Calculus. |0 http://id.loc.gov/authorities/subjects/sh85018802 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Calculus. |2 fast |0 (OCoLC)fst00844119 | |
| 650 | 7 | |a Fractional calculus. |2 fast |0 (OCoLC)fst00933515 | |
| 655 | 4 | |a Electronic books. | |
| 655 | 0 | |a Electronic books. | |
| 700 | 1 | |a Abi Zeid Daou, Roy, |e editor. | |
| 700 | 1 | |a Moreau, Xavier, |d 1966- |e editor. |0 http://id.loc.gov/authorities/names/n2014054815 | |
| 776 | 0 | 8 | |i Print version: |t Fractional calculus |z 9781634632218 |w (DLC) 2014038042 |w (OCoLC)891369594 |
| 830 | 0 | |a Mathematics research developments series. |0 http://id.loc.gov/authorities/names/no2009139785 | |
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