Fractional calculus : applications

Fractional calculus: applications

Series:

Mathematics research developments

Publisher:

Nova Science Publishers, Inc

Pub. Date:

[2014]

Language:

English

Ebsco (CCU) eBook
Show Edition

Ebsco (CCU)

Pub. Date	Source	Publisher	Content Desc.	Availability
[2014]	Ebsco (CCU)	Nova Science Publishers, Inc	1 online resource	Available Online Ebsco (CCU)	More Info Access Online

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.

Subjects

Calcul infinitésimal
calculus
Dérivées fractionnaires
Electronic books
Fractional calculus
Mathematical Analysis
MATHEMATICS
MATHEMATICS -- Calculus
MATHEMATICS -- Mathematical Analysis

From the Ebsco (CCU) eBook

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.

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.

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.

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.

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.

More Details

Contributors:

Abi Zeid Daou, Roy,editor
Moreau, Xavier,1966-editor

ISBN:

9781634632331

Staff View

Grouping Information

Grouped Work ID	54de1d95-90c7-1f7b-3ec1-f258f72ba88c
Grouping Title	fractional calculus applications
Grouping Author	roy abi zeid daou
Grouping Category	book
Grouping Language	English (eng)
Last Grouping Update	2024-04-05 21:12:39PM
Last Indexed	2024-04-29 01:09:27AM

Solr Fields

accelerated_reader_point_value

accelerated_reader_reading_level

auth_author2

Abi Zeid Daou, Roy
Moreau, Xavier, 1966-

author2-role

Abi Zeid Daou, Roy,editor
Moreau, Xavier,1966-editor

display_description

format_category_ccu

eBook

format_ccu

eBook

54de1d95-90c7-1f7b-3ec1-f258f72ba88c

isbn

9781634632331

last_indexed

2024-04-29T07:09:27.161Z

lexile_score

-1

literary_form

Non Fiction

literary_form_full

Non Fiction

primary_isbn

9781634632331

publishDate

2014

publisher

Nova Science Publishers, Inc

recordtype

grouped_work

series

Mathematics research developments

series_with_volume

Mathematics research developments|

subject_facet

Calcul infinitésimal
Calculus
Dérivées fractionnaires
Electronic books
Fractional calculus
MATHEMATICS -- Calculus
MATHEMATICS -- Mathematical Analysis
calculus

title_display

Fractional calculus : applications

title_full

Fractional calculus : applications / editors, Roy Abi Zeid Daou and Xavier Moreau (Lebanese German University, Sahel Alma Campus, Keserwane, Lebanon, and University of Bordeaux)

title_short

Fractional calculus

title_sub

applications

topic_facet

Calcul infinitésimal
Calculus
Dérivées fractionnaires
Fractional calculus
MATHEMATICS
Mathematical Analysis
calculus

Solr Details Tables

item_details

Bib Id	Item Id	Shelf Loc	Call Num	Format	Format Category	Num Copies	Is Order Item	Is eContent	eContent Source	eContent URL	Detailed Status	Location
ebscoacademiccmc:ocn900409185	ocn900409185	Ebsco Academic (CMC)	Online Ebsco Academic (CMC)	eBook	eBook	1	false	true	Ebsco Academic (CMC)	https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=940923	Available Online	Ebsco Academic (CMC)
ebscoccu:ocn900409185	ocn900409185	Ebsco (CCU)	Online Ebsco (CCU)	eBook	eBook	1	false	true	Ebsco (CCU)	http://ezproxy.ccu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=940923	Available Online	Ebsco (CCU)
fortlewisebscoebooksub:ocn900409185	ocn900409185	Fort Lewis Subscription eBook (EBSCO)	Online Fort Lewis Subscription eBook (EBSCO)	eBook	eBook	1	false	true	Fort Lewis Subscription eBook (EBSCO)	https://fortlewis.idm.oclc.org/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=940923	Available Online	Fort Lewis Subscription eBook (EBSCO)

record_details

Bib Id	Format	Format Category	Language	Publisher	Publication Date	Physical Description
ebscoacademiccmc:ocn900409185	eBook	eBook	English	Nova Science Publishers, Inc	[2014]	1 online resource.
ebscoccu:ocn900409185	eBook	eBook	English	Nova Science Publishers, Inc	[2014]	1 online resource
fortlewisebscoebooksub:ocn900409185	eBook	eBook	English	Nova Science Publishers, Inc	[2014]	1 online resource.

scoping_details_ccu

Bib Id	Item Id	Grouped Status	Status	Locally Owned	Available	Holdable	Bookable	In Library Use Only	Library Owned	Holdable PTypes	Bookable PTypes	Local Url
ebscoccu:ocn900409185	ocn900409185	Available Online	Available Online	false	true	false	false	false	false