Fractional calculus: applications
(eBook)
Contributors:
Published:
Hauppauge, New York : Nova Science Publishers, Inc., [2014].
Format:
eBook
ISBN:
9781634632331, 1634632338
Physical Desc:
1 online resource
Status:
Ebsco (CCU)
Description
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.
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Citations
APA Citation (style guide)
Abi Zeid Daou, R., & Moreau, X. (2014). Fractional calculus: applications. Hauppauge, New York, Nova Science Publishers, Inc.
Chicago / Turabian - Author Date Citation (style guide)Abi Zeid Daou, Roy and Xavier Moreau. 2014. Fractional Calculus: Applications. Hauppauge, New York, Nova Science Publishers, Inc.
Chicago / Turabian - Humanities Citation (style guide)Abi Zeid Daou, Roy and Xavier Moreau, Fractional Calculus: Applications. Hauppauge, New York, Nova Science Publishers, Inc, 2014.
MLA Citation (style guide)Abi Zeid Daou, Roy, and Xavier Moreau. Fractional Calculus: Applications. Hauppauge, New York, Nova Science Publishers, Inc, 2014.
Note! Citation formats are based on standards as of July 2022. Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy.
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Language:
English
Notes
General Note
Includes index.
Description
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.
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Grouped Work ID:
54de1d95-90c7-1f7b-3ec1-f258f72ba88c
Record Information
| Last File Modification Time | Apr 05, 2024 09:37:53 PM |
|---|---|
| Last Grouped Work Modification Time | Apr 05, 2024 09:12:39 PM |
MARC Record
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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 | ||
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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. | |
| 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. | |
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| 830 | 0 | |a Mathematics research developments series. | |
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