The Resource Advances on fractional inequalities, George A. Anastassiou
Advances on fractional inequalities, George A. Anastassiou
Resource Information
The item Advances on fractional 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 Advances on fractional 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
 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 selfsimilar structures, dynamics of earthquakes, optics, geology, viscoelastic materials, biosciences, 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
 Language
 eng
 Extent
 1 online resource (xi, 121 pages).
 Contents

 1. Opialtype 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]Landautype inequalities
 9. Right Caputo fractional L[subscript p]Landautype inequalities
 10. Mixed Caputo fractional L[subscript p]Landautype inequalities
 11. Multivariate Caputo fractional Landau inequalities
 Isbn
 9781461407034
 Label
 Advances on fractional inequalities
 Title
 Advances on fractional inequalities
 Statement of responsibility
 George A. Anastassiou
 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 selfsimilar structures, dynamics of earthquakes, optics, geology, viscoelastic materials, biosciences, 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
 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
 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. Opialtype 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]Landautype inequalities  9. Right Caputo fractional L[subscript p]Landautype inequalities  10. Mixed Caputo fractional L[subscript p]Landautype 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
 10.1007/9781461407034
 Specific material designation
 remote
 System control number
 (OCoLC)749812566
 Label
 Advances on fractional inequalities, George A. Anastassiou
 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. Opialtype 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]Landautype inequalities  9. Right Caputo fractional L[subscript p]Landautype inequalities  10. Mixed Caputo fractional L[subscript p]Landautype 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
 10.1007/9781461407034
 Specific material designation
 remote
 System control number
 (OCoLC)749812566
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