Coverart for item
The Resource Fractional differentiation inequalities, George A. Anastassiou

Fractional differentiation inequalities, George A. Anastassiou

Label
Fractional differentiation inequalities
Title
Fractional differentiation inequalities
Statement of responsibility
George A. Anastassiou
Creator
Subject
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, Riemann-Liouville and Caputo. The univariate and multivariate cases are both examined. Each chapter is self-contained. 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
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 641-669) 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 -- Riemann-Liouville Opial Type Inequalities for Fractional Derivatives -- Opial Type L p-Inequalities for Riemann-Liouville Fractional Derivatives -- Opial Type Inequalities Involving Canavati Fractional Derivatives of Two FunctionsandApplications -- Opial Type Inequalities for Riemann-Liouville Fractional Derivatives of Two Functions with Applications -- Canavati Fractional Opial Type Inequalities for Several Functions and Applications -- Riemann-Liouville Fractional Opial Type Inequalities for Several Functions and Applications -- Converse Canavati Fractional Opial Type Inequalities for Several Functions -- Converse Riemann-Liouville 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 -- Riemann-Liouville 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 Hilbert-Pachpatte Type Inequalities -- General Multivariate Hilbert-Pachpatte Type Integral Inequalties -- Other Hilbert-Pachpatte Type Fractional Interal Inequalities -- Canavati Fractional and Other Approximation of Csiszar's f-Divergence -- Caputo and Riemann-Liouville Fractional Approximation of Csiszar's f-Divergence -- 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
10.1007/978-0-387-98128-4
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-98127-7
Specific material designation
remote
System control number
(OCoLC)423393386
Label
Fractional differentiation inequalities, George A. Anastassiou
Publication
Bibliography note
Includes bibliographical references (pages 641-669) 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 -- Riemann-Liouville Opial Type Inequalities for Fractional Derivatives -- Opial Type L p-Inequalities for Riemann-Liouville Fractional Derivatives -- Opial Type Inequalities Involving Canavati Fractional Derivatives of Two FunctionsandApplications -- Opial Type Inequalities for Riemann-Liouville Fractional Derivatives of Two Functions with Applications -- Canavati Fractional Opial Type Inequalities for Several Functions and Applications -- Riemann-Liouville Fractional Opial Type Inequalities for Several Functions and Applications -- Converse Canavati Fractional Opial Type Inequalities for Several Functions -- Converse Riemann-Liouville 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 -- Riemann-Liouville 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 Hilbert-Pachpatte Type Inequalities -- General Multivariate Hilbert-Pachpatte Type Integral Inequalties -- Other Hilbert-Pachpatte Type Fractional Interal Inequalities -- Canavati Fractional and Other Approximation of Csiszar's f-Divergence -- Caputo and Riemann-Liouville Fractional Approximation of Csiszar's f-Divergence -- 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
10.1007/978-0-387-98128-4
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-98127-7
Specific material designation
remote
System control number
(OCoLC)423393386

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