The Resource Fractional differentiation inequalities, George A. Anastassiou
Fractional differentiation inequalities, George A. Anastassiou
Resource Information
The item Fractional differentiation inequalities, George A. Anastassiou represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Fractional differentiation inequalities, George A. Anastassiou represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 Fractional differentiation inequalities are by themselves an important area of research. They have manyapplications in pure and applied mathematics and many other applied sciences. One of the most important applications is in establishing the uniqueness of a solution in fractional differential equations and systems and in fractional partial differential equations. They also provide upper bounds to the solutions of the above equations. In this book the author presents the Opial, Poincaré, Sobolev, Hilbert, and Ostrowski fractional differentiation inequalities. Results for the above are derived using three different types of fractional derivatives, namely by Canavati, RiemannLiouville and Caputo. The univariate and multivariate cases are both examined. Each chapter is selfcontained. The theory is presented systematically along with the applications. The application to information theory is also examined. This monograph is suitable for researchers and graduate students in pure mathematics. Applied mathematicians, engineers, and other applied scientists will also find this book useful
 Language
 eng
 Extent
 1 online resource (xiv, 675 pages)
 Contents

 Introduction
 Opial Type Inequalities for Functions and Their Ordinary and Canavati Fractional Derivatives
 Canavati Fractional Opial Type Inequalities and Fractional Differential Equations
 RiemannLiouville Opial Type Inequalities for Fractional Derivatives
 Opial Type L pInequalities for RiemannLiouville Fractional Derivatives
 Opial Type Inequalities Involving Canavati Fractional Derivatives of Two FunctionsandApplications
 Opial Type Inequalities for RiemannLiouville Fractional Derivatives of Two Functions with Applications
 Canavati Fractional Opial Type Inequalities for Several Functions and Applications
 RiemannLiouville Fractional Opial Type Inequalities for Several Functions and Applications
 Converse Canavati Fractional Opial Type Inequalities for Several Functions
 Converse RiemannLiouville Fractional Opial Type Inequalities for Several Functions
 Multivariate Canavati Fractional Taylor Formula
 Multivariate Caputo Fractional Taylor Formula
 Canavati Fractional Multivariate Opial Type Inequalities on Spherical Shells
 RiemannLiouville Fractional Multivariate Opial Type Inequalities Over a Spherical Shell
 Caputo Fractional Multivariate Opial Type Inequalities Over a Spherical Shell
 Poincaré Type Fractional Inequalities
 Various Sobolev Type Fractional Inequalities
 General HilbertPachpatte Type Inequalities
 General Multivariate HilbertPachpatte Type Integral Inequalties
 Other HilbertPachpatte Type Fractional Interal Inequalities
 Canavati Fractional and Other Approximation of Csiszar's fDivergence
 Caputo and RiemannLiouville Fractional Approximation of Csiszar's fDivergence
 Canavati Fractional Ostrowski Type Inequalities
 Multivariate Canavati Fractional Ostrowski Type Inequalities
 Caputo Fractional Ostrowski Type Inequalities
 Appendix
 References
 List of Symbols
 Index
 Isbn
 9780387981284
 Label
 Fractional differentiation inequalities
 Title
 Fractional differentiation inequalities
 Statement of responsibility
 George A. Anastassiou
 Language
 eng
 Summary
 Fractional differentiation inequalities are by themselves an important area of research. They have manyapplications in pure and applied mathematics and many other applied sciences. One of the most important applications is in establishing the uniqueness of a solution in fractional differential equations and systems and in fractional partial differential equations. They also provide upper bounds to the solutions of the above equations. In this book the author presents the Opial, Poincaré, Sobolev, Hilbert, and Ostrowski fractional differentiation inequalities. Results for the above are derived using three different types of fractional derivatives, namely by Canavati, RiemannLiouville and Caputo. The univariate and multivariate cases are both examined. Each chapter is selfcontained. The theory is presented systematically along with the applications. The application to information theory is also examined. This monograph is suitable for researchers and graduate students in pure mathematics. Applied mathematicians, engineers, and other applied scientists will also find this book useful
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorDate
 1952
 http://library.link/vocab/creatorName
 Anastassiou, George A.
 Dewey number
 515.36
 Index
 index present
 LC call number
 QA374
 LC item number
 .A53 2009
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/subjectName

 Differential inequalities
 Fractional calculus
 MATHEMATICS
 Differential inequalities
 Fractional calculus
 Label
 Fractional differentiation inequalities, George A. Anastassiou
 Bibliography note
 Includes bibliographical references (pages 641669) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Opial Type Inequalities for Functions and Their Ordinary and Canavati Fractional Derivatives  Canavati Fractional Opial Type Inequalities and Fractional Differential Equations  RiemannLiouville Opial Type Inequalities for Fractional Derivatives  Opial Type L pInequalities for RiemannLiouville Fractional Derivatives  Opial Type Inequalities Involving Canavati Fractional Derivatives of Two FunctionsandApplications  Opial Type Inequalities for RiemannLiouville Fractional Derivatives of Two Functions with Applications  Canavati Fractional Opial Type Inequalities for Several Functions and Applications  RiemannLiouville Fractional Opial Type Inequalities for Several Functions and Applications  Converse Canavati Fractional Opial Type Inequalities for Several Functions  Converse RiemannLiouville Fractional Opial Type Inequalities for Several Functions  Multivariate Canavati Fractional Taylor Formula  Multivariate Caputo Fractional Taylor Formula  Canavati Fractional Multivariate Opial Type Inequalities on Spherical Shells  RiemannLiouville Fractional Multivariate Opial Type Inequalities Over a Spherical Shell  Caputo Fractional Multivariate Opial Type Inequalities Over a Spherical Shell  Poincaré Type Fractional Inequalities  Various Sobolev Type Fractional Inequalities  General HilbertPachpatte Type Inequalities  General Multivariate HilbertPachpatte Type Integral Inequalties  Other HilbertPachpatte Type Fractional Interal Inequalities  Canavati Fractional and Other Approximation of Csiszar's fDivergence  Caputo and RiemannLiouville Fractional Approximation of Csiszar's fDivergence  Canavati Fractional Ostrowski Type Inequalities  Multivariate Canavati Fractional Ostrowski Type Inequalities  Caputo Fractional Ostrowski Type Inequalities  Appendix  References  List of Symbols  Index
 Control code
 423393386
 Dimensions
 unknown
 Extent
 1 online resource (xiv, 675 pages)
 Form of item
 online
 Isbn
 9780387981284
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780387981284
 http://library.link/vocab/ext/overdrive/overdriveId
 9780387981277
 Specific material designation
 remote
 System control number
 (OCoLC)423393386
 Label
 Fractional differentiation inequalities, George A. Anastassiou
 Bibliography note
 Includes bibliographical references (pages 641669) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Opial Type Inequalities for Functions and Their Ordinary and Canavati Fractional Derivatives  Canavati Fractional Opial Type Inequalities and Fractional Differential Equations  RiemannLiouville Opial Type Inequalities for Fractional Derivatives  Opial Type L pInequalities for RiemannLiouville Fractional Derivatives  Opial Type Inequalities Involving Canavati Fractional Derivatives of Two FunctionsandApplications  Opial Type Inequalities for RiemannLiouville Fractional Derivatives of Two Functions with Applications  Canavati Fractional Opial Type Inequalities for Several Functions and Applications  RiemannLiouville Fractional Opial Type Inequalities for Several Functions and Applications  Converse Canavati Fractional Opial Type Inequalities for Several Functions  Converse RiemannLiouville Fractional Opial Type Inequalities for Several Functions  Multivariate Canavati Fractional Taylor Formula  Multivariate Caputo Fractional Taylor Formula  Canavati Fractional Multivariate Opial Type Inequalities on Spherical Shells  RiemannLiouville Fractional Multivariate Opial Type Inequalities Over a Spherical Shell  Caputo Fractional Multivariate Opial Type Inequalities Over a Spherical Shell  Poincaré Type Fractional Inequalities  Various Sobolev Type Fractional Inequalities  General HilbertPachpatte Type Inequalities  General Multivariate HilbertPachpatte Type Integral Inequalties  Other HilbertPachpatte Type Fractional Interal Inequalities  Canavati Fractional and Other Approximation of Csiszar's fDivergence  Caputo and RiemannLiouville Fractional Approximation of Csiszar's fDivergence  Canavati Fractional Ostrowski Type Inequalities  Multivariate Canavati Fractional Ostrowski Type Inequalities  Caputo Fractional Ostrowski Type Inequalities  Appendix  References  List of Symbols  Index
 Control code
 423393386
 Dimensions
 unknown
 Extent
 1 online resource (xiv, 675 pages)
 Form of item
 online
 Isbn
 9780387981284
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780387981284
 http://library.link/vocab/ext/overdrive/overdriveId
 9780387981277
 Specific material designation
 remote
 System control number
 (OCoLC)423393386
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