Fractional evolution equations and inclusions / (Record no. 247285)
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| fixed length control field | 04850cam a2200529Ka 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocn938788572 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20190328114814.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu---unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160212s2016 cau ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | IDEBK |
| Language of cataloging | eng |
| Description conventions | pn |
| Transcribing agency | IDEBK |
| Modifying agency | N$T |
| -- | YDXCP |
| -- | OPELS |
| -- | UIU |
| -- | OCLCF |
| -- | EBLCP |
| -- | CDX |
| -- | DEBSZ |
| -- | OCLCQ |
| -- | TEFOD |
| -- | OCLCQ |
| -- | IDB |
| -- | OCLCQ |
| -- | U3W |
| -- | MERUC |
| -- | D6H |
| -- | OCLCQ |
| 019 ## - | |
| -- | 940438495 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0128047755 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780128047750 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 012804277X |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780128042779 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)938788572 |
| Canceled/invalid control number | (OCoLC)940438495 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA377.3 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 005000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 034000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.353 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Zhou, Yong. |
| 245 10 - TITLE STATEMENT | |
| Title | Fractional evolution equations and inclusions / |
| Medium | [electronic resource] |
| Statement of responsibility, etc. | Yong Zhou. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | San Diego, CA : |
| Name of publisher, distributor, etc. | Academic Press, |
| Date of publication, distribution, etc. | �2016. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Print version record. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Fractional evolution inclusions are an important form of differential inclusions within nonlinear mathematical analysis. They are generalizations of the much more widely developed fractional evolution equations (such as time-fractional diffusion equations) seen through the lens of multivariate analysis. Compared to fractional evolution equations, research on the theory of fractional differential inclusions is however only in its initial stage of development. This is important because differential models with the fractional derivative providing an excellent instrument for the description of memory and hereditary properties, and have recently been proved valuable tools in the modeling of many physical phenomena. The fractional order models of real systems are always more adequate than the classical integer order models, since the description of some systems is more accurate when the fractional derivative is used. The advantages of fractional derivatization become evident in modeling mechanical and electrical properties of real materials, description of rheological properties of rocks and in various other fields. Such models are interesting for engineers and physicists as well as so-called pure mathematicians. Phenomena investigated in hybrid systems with dry friction, processes of controlled heat transfer, obstacle problems and others can be described with the help of various differential inclusions, both linear and nonlinear. Fractional Evolution Equations and Inclusions is devoted to a rapidly developing area of the research for fractional evolution equations & inclusions and their applications to control theory. It studies Cauchy problems for fractional evolution equations, and fractional evolution inclusions with Hille-Yosida operators. It discusses control problems for systems governed by fractional evolution equations. Finally it provides an investigation of fractional stochastic evolution inclusions in Hilbert spaces. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Front Cover ; Fractional Evolution Equations and Inclusions ; Copyright ; Table of Contents ; Preface; Chapter 1: Preliminaries; 1.1 Basic Facts and Notation ; 1.2 Fractional Integrals and Derivatives. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1.3 Semigroups and Almost Sectorial Operators 1.4 Spaces of Asymptotically Periodic Functions ; 1.5 Weak Compactness of Sets and Operators. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1.6 Multivalued Analysis1.7 Stochastic Process; Chapter 2: Fractional Evolution Equations; 2.1 Cauchy Problems; 2.2 Bounded Solutions on Real Axis ; 2.3 Notes and Remarks ; Chapter 3: Fractional Evolution Inclusions With Hille-yosida Operators; 3.1 Existence of Integral Solutions. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 3.2 Topological Structure of Solution Sets 3.3 Notes and Remarks ; Chapter 4: Fractional Control Systems ; 4.1 Existence and Optimal Control ; 4.2 Optimal Feedback Control; 4.3 Controllability; 4.4 Approximate Controllability. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 4.5 Topological Structure of Solution Sets 4.6 Notes and Remarks ; Chapter 5: Fractional Stochastic Evolution Inclusions; 5.1 Existence of Mild Solutions. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Evolution equations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential inclusions. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Calculus. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Mathematical Analysis. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential inclusions. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00893493 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Evolution equations. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00917332 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Zhou, Yong. |
| Title | Fractional Evolution Equations and Inclusions : Analysis and Control. |
| Place, publisher, and date of publication | San Diego : Elsevier Science, �2016 |
| International Standard Book Number | 9780128042779 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | ScienceDirect |
| Uniform Resource Identifier | http://www.sciencedirect.com/science/book/9780128042779 |
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