Coverart for item
The Resource Advances on fractional inequalities, George A. Anastassiou

Advances on fractional inequalities, George A. Anastassiou

Label
Advances on fractional inequalities
Title
Advances on fractional inequalities
Statement of responsibility
George A. Anastassiou
Creator
Subject
Language
eng
Summary
Advances on Fractional Inequalities ¡use primarily the Caputo fractional derivative, as the most important in applications, and presents the first fractional differentiation inequalities of Opial type which ¡involves the balanced fractional derivatives. The book continues with right and mixed fractional differentiation Ostrowski inequalities in the univariate and multivariate cases. Next the right and left, as well as mixed, Landau fractional differentiation inequalities in the univariate and multivariate cases are illustrated. Throughout the book many applications are given. Fractional differentiation inequalities are by themselves an important and great mathematical topic for research. Furthermore they have many applications, the most important ones are in establishing uniqueness of solution in fractional differential equations and systems and in fractional partial differential equations. Also they provide upper bounds to the solutions of the above equations. Fractional Calculus has emerged as very useful over the last forty years due to its many applications in almost all applied sciences. This is currently seen in applications in acoustic wave propagation in inhomogeneous porous material, diffusive transport, fluid flow, dynamical processes in self-similar structures, dynamics of earthquakes, optics, geology, viscoelastic materials, bio-sciences, bioengineering, medicine, economics, probability and statistics, astrophysics, chemical engineering, physics, splines, tomography, fluid mechanics, electromagnetic waves, nonlinear control, signal processing, control of power electronic, converters, chaotic dynamics, polymer science, proteins, polymer physics, electrochemistry, statistical physics, rheology, thermodynamics, neural networks, etc. Almost all fields of research in science and engineering use fractional calculus in order to describe results. This book is a part of Fractional Calculus, therefore it ¡is useful for researchers and graduate students for research, seminars and advanced graduate courses, in pure and applied mathematics, engineering and all other applied sciences
Member of
Cataloging source
HKP
http://library.link/vocab/creatorDate
1952-
http://library.link/vocab/creatorName
Anastassiou, George A.
Dewey number
515.26
Index
no index present
Language note
English
LC call number
QA314
LC item number
.A53 2011eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
SpringerBriefs in mathematics
http://library.link/vocab/subjectName
  • Fractional calculus
  • Inequalities (Mathematics)
  • Fractional calculus
  • Inequalities (Mathematics)
Label
Advances on fractional inequalities, George A. Anastassiou
Instantiates
Publication
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Opial-type inequalities for balanced fractional derivatives -- 2. Univariate right Caputo fractional Ostrowski inequalities -- 3. Multivariate right Caputo fractional Ostrowski inequalities -- 4. Univariate mixed fractional Ostrowski inequalities -- 5. Multivariate radial mixed fractional Ostrowski inequalities -- 6. Shell mixed Caputo fractional Ostrowski inequalities -- 7. Left Caputo fractional uniform Landau inequalities -- 8. Left Caputo fractional L[subcript p]-Landau-type inequalities -- 9. Right Caputo fractional L[subscript p]-Landau-type inequalities -- 10. Mixed Caputo fractional L[subscript p]-Landau-type inequalities -- 11. Multivariate Caputo fractional Landau inequalities
Control code
749812566
Dimensions
unknown
Extent
1 online resource (xi, 121 pages).
Form of item
online
Isbn
9781461407034
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4614-0703-4
Specific material designation
remote
System control number
(OCoLC)749812566
Label
Advances on fractional inequalities, George A. Anastassiou
Publication
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Opial-type inequalities for balanced fractional derivatives -- 2. Univariate right Caputo fractional Ostrowski inequalities -- 3. Multivariate right Caputo fractional Ostrowski inequalities -- 4. Univariate mixed fractional Ostrowski inequalities -- 5. Multivariate radial mixed fractional Ostrowski inequalities -- 6. Shell mixed Caputo fractional Ostrowski inequalities -- 7. Left Caputo fractional uniform Landau inequalities -- 8. Left Caputo fractional L[subcript p]-Landau-type inequalities -- 9. Right Caputo fractional L[subscript p]-Landau-type inequalities -- 10. Mixed Caputo fractional L[subscript p]-Landau-type inequalities -- 11. Multivariate Caputo fractional Landau inequalities
Control code
749812566
Dimensions
unknown
Extent
1 online resource (xi, 121 pages).
Form of item
online
Isbn
9781461407034
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4614-0703-4
Specific material designation
remote
System control number
(OCoLC)749812566

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