Local Fractional Integral Transforms and Their Applications. (Record no. 101740)
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| fixed length control field | 06438nam a22005293i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC4082032 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729130055.0 |
| 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|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2015 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780128040324 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780128040027 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC4082032 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL4082032 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11117792 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaONFJC)MIL844610 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)929533584 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA432 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.723 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Yang, Xiao-Jun. |
| 245 10 - TITLE STATEMENT | |
| Title | Local Fractional Integral Transforms and Their Applications. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | San Diego : |
| Name of producer, publisher, distributor, manufacturer | Elsevier Science & Technology, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2015. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2016. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (263 pages) |
| 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 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Front Cover -- Local Fractional Integral Transforms and Their Applications -- Copyright -- Contents -- List of figures -- List of tables -- Preface -- Chapter 1: Introduction to local fractional derivative and integral operators -- 1.1 Introduction -- 1.1.1 Definitions of local fractional derivatives -- 1.1.2 Comparisons of fractal relaxation equation in fractal kernel functions -- 1.1.3 Comparisons of fractal diffusion equation in fractal kernel functions -- 1.1.4 Fractional derivatives via fractional differences -- 1.1.5 Fractional derivatives with and without singular kernels and other versions of fractional derivatives -- 1.2 Definitions and properties of local fractional continuity -- 1.2.1 Definitions and properties -- 1.2.2 Functions defined on fractal sets -- 1.3 Definitions and properties of local fractional derivative -- 1.3.1 Definitions of local fractional derivative -- 1.3.2 Properties and theorems of local fractional derivatives -- 1.4 Definitions and properties of local fractional integral -- 1.4.1 Definitions of local fractional integrals -- 1.4.2 Properties and theorems of local fractional integrals -- 1.4.3 Local fractional Taylor's theorem for nondifferentiable functions -- 1.4.4 Local fractional Taylor's series for elementary functions -- 1.5 Local fractional partial differential equations in mathematical physics -- 1.5.1 Local fractional partial derivatives -- 1.5.2 Linear and nonlinear partial differential equations in mathematical physics -- 1.5.3 Applications of local fractional partial derivative operator to coordinate systems -- 1.5.4 Alternative observations of local fractional partial differential equations -- Chapter 2: Local fractional Fourier series -- 2.1 Introduction -- 2.2 Definitions and properties -- 2.2.1 Analogous trigonometric form of local fractional Fourier series. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 2.2.2 Complex Mittag-Leffler form of local fractional Fourier series -- 2.2.3 Properties of local fractional Fourier series -- 2.2.4 Theorems of local fractional Fourier series -- 2.3 Applications to signal analysis -- 2.4 Solving local fractional differential equations -- 2.4.1 Applications of local fractional ordinary differential equations -- 2.4.2 Applications of local fractional partial differential equations -- Chapter 3: Local fractional Fourier transform and applications -- 3.1 Introduction -- 3.2 Definitions and properties -- 3.2.1 Mathematical mechanism is the local fractional Fourier transform operator -- 3.2.2 Definitions of the local fractional Fourier transform operators -- 3.2.3 Properties and theorems of local fractional Fourier transform operator -- 3.2.4 Properties and theorems of the generalized local fractional Fourier transform operator -- 3.3 Applications to signal analysis -- 3.3.1 The analogous distributions defined on Cantor sets -- 3.3.2 Applications of signal analysis on Cantor sets -- 3.4 Solving local fractional differential equations -- 3.4.1 Applications of local fractional ordinary differential equations -- 3.4.2 Applications of local fractional partial differential equations -- Chapter 4: Local fractional Laplace transform and applications -- 4.1 Introduction -- 4.2 Definitions and properties -- 4.2.1 The basic definitions of the local fractional Laplace transform operators -- 4.2.2 The properties and theorems for the local fractional Laplace transform operator -- 4.3 Applications to signal analysis -- 4.4 Solving local fractional differential equations -- 4.4.1 Applications of local fractional ordinary differential equations -- 4.4.2 Applications of local fractional partial differential equations -- Chapter 5: Coupling the local fractional Laplace transform with analytic methods -- 5.1 Introduction. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 5.2 Variational iteration method of the local fractional operator -- 5.3 Decomposition method of the local fractional operator -- 5.4 Coupling the Laplace transform with variational iteration method of the local fractional operator -- 5.5 Coupling the Laplace transform with decomposition method of the local fractional operator -- Appendix A: The analogues of trigonometric functions defined on Cantor sets -- Appendix B: Local fractional derivatives of elementary functions -- Appendix C: Local fractional Maclaurin's series of elementary functions -- Appendix D: Coordinate systems of Cantor-type cylindrical and Cantor-type spherical coordinates -- Appendix E: Tables of local fractional Fourier transform operators -- Appendix F: Tables of local fractional Laplace transform operators -- Bibliography -- Index -- Back Cover. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Integral transforms. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Fractional calculus. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Baleanu, Dumitru. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Srivastava, Hari M. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Yang, Xiao-Jun. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Baleanu, Dumitru. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Srivastava, Hari Mohan. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Yang, Xiao-Jun |
| Title | Local Fractional Integral Transforms and Their Applications |
| Place, publisher, and date of publication | San Diego : Elsevier Science & Technology,c2015 |
| International Standard Book Number | 9780128040027 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4082032">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4082032</a> |
| Public note | Click to View |
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