Borrow it
 Architecture Library
 Bizzell Memorial Library
 Boorstin Collection
 Chinese Literature Translation Archive
 Engineering Library
 Fine Arts Library
 Harry W. Bass Business History Collection
 History of Science Collections
 John and Mary Nichols Rare Books and Special Collections
 Library Service Center
 Price College Digital Library
 Western History Collections
The Resource Linear Fractional DiffusionWave Equation for Scientists and Engineers, by Yuriy Povstenko, (electronic resource)
Linear Fractional DiffusionWave Equation for Scientists and Engineers, by Yuriy Povstenko, (electronic resource)
Resource Information
The item Linear Fractional DiffusionWave Equation for Scientists and Engineers, by Yuriy Povstenko, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Linear Fractional DiffusionWave Equation for Scientists and Engineers, by Yuriy Povstenko, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This book systematically presents solutions to the linear timefractional diffusionwave equation. It introduces the integral transform technique and discusses the properties of the MittagLeffler, Wright, and Mainardi functions that appear in the solutions. The timenonlocal dependence between the flux and the gradient of the transported quantity with the “longtail” power kernel results in the timefractional diffusionwave equation with the Caputo fractional derivative. Timenonlocal generalizations of classical Fourier’s, Fick’s and Darcy’s laws are considered and different kinds of boundary conditions for this equation are discussed (Dirichlet, Neumann, Robin, perfect contact). The book provides solutions to the fractional diffusionwave equation with one, two and three space variables in Cartesian, cylindrical and spherical coordinates. The respective sections of the book can be used for university courses on fractional calculus, heat and mass transfer, transport processes in porous media and fractals for graduate and postgraduate students. The volume will also serve as a valuable reference guide for specialists working in applied mathematics, physics, geophysics and the engineering sciences
 Language

 eng
 eng
 Edition
 1st ed. 2015.
 Extent
 1 online resource (470 p.)
 Note
 Description based upon print version of record
 Contents

 1.Introduction
 2.Mathematical Preliminaries
 3.Physical Backgrounds
 4.Equations with one Space Variable in Cartesian Coordinates
 5.Equations with one Space Variable in Polar Coordinates
 6.Equations with one Space Variable in Spherical Coordinates
 7.Equations with two Space Variables in Cartesian Coordinates
 8.Equations in Polar Coordinates
 9.Axisymmetric equations in Cylindrical Coordinates
 10.Equations with three Space Variables in Cartesian Coordinates
 11.Equations with three space Variables in Cylindrical Coordinates
 12.Equations with three space Variables in Spherical Coordinates
 Conclusions
 Appendix: Integrals
 References
 Isbn
 9783319179544
 Label
 Linear Fractional DiffusionWave Equation for Scientists and Engineers
 Title
 Linear Fractional DiffusionWave Equation for Scientists and Engineers
 Statement of responsibility
 by Yuriy Povstenko
 Language

 eng
 eng
 Summary
 This book systematically presents solutions to the linear timefractional diffusionwave equation. It introduces the integral transform technique and discusses the properties of the MittagLeffler, Wright, and Mainardi functions that appear in the solutions. The timenonlocal dependence between the flux and the gradient of the transported quantity with the “longtail” power kernel results in the timefractional diffusionwave equation with the Caputo fractional derivative. Timenonlocal generalizations of classical Fourier’s, Fick’s and Darcy’s laws are considered and different kinds of boundary conditions for this equation are discussed (Dirichlet, Neumann, Robin, perfect contact). The book provides solutions to the fractional diffusionwave equation with one, two and three space variables in Cartesian, cylindrical and spherical coordinates. The respective sections of the book can be used for university courses on fractional calculus, heat and mass transfer, transport processes in porous media and fractals for graduate and postgraduate students. The volume will also serve as a valuable reference guide for specialists working in applied mathematics, physics, geophysics and the engineering sciences
 http://library.link/vocab/creatorName
 Povstenko, Yuriy
 Dewey number
 510
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 eJOd1zPcy8
 Language note
 English
 LC call number
 QA370380
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/subjectName

 Differential equations, partial
 Mathematical physics
 Partial Differential Equations
 Mathematical Methods in Physics
 Mathematical Applications in the Physical Sciences
 Label
 Linear Fractional DiffusionWave Equation for Scientists and Engineers, by Yuriy Povstenko, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 1.Introduction  2.Mathematical Preliminaries  3.Physical Backgrounds  4.Equations with one Space Variable in Cartesian Coordinates  5.Equations with one Space Variable in Polar Coordinates  6.Equations with one Space Variable in Spherical Coordinates  7.Equations with two Space Variables in Cartesian Coordinates  8.Equations in Polar Coordinates  9.Axisymmetric equations in Cylindrical Coordinates  10.Equations with three Space Variables in Cartesian Coordinates  11.Equations with three space Variables in Cylindrical Coordinates  12.Equations with three space Variables in Spherical Coordinates  Conclusions  Appendix: Integrals  References
 Dimensions
 unknown
 Edition
 1st ed. 2015.
 Extent
 1 online resource (470 p.)
 Form of item
 online
 Isbn
 9783319179544
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783319179544
 Specific material designation
 remote
 System control number

 (CKB)3710000000444380
 (EBL)3567539
 (SSID)ssj0001534761
 (PQKBManifestationID)11876123
 (PQKBTitleCode)TC0001534761
 (PQKBWorkID)11494639
 (PQKB)11550427
 (DEHe213)9783319179544
 (MiAaPQ)EBC3567539
 (EXLCZ)993710000000444380
 Label
 Linear Fractional DiffusionWave Equation for Scientists and Engineers, by Yuriy Povstenko, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 1.Introduction  2.Mathematical Preliminaries  3.Physical Backgrounds  4.Equations with one Space Variable in Cartesian Coordinates  5.Equations with one Space Variable in Polar Coordinates  6.Equations with one Space Variable in Spherical Coordinates  7.Equations with two Space Variables in Cartesian Coordinates  8.Equations in Polar Coordinates  9.Axisymmetric equations in Cylindrical Coordinates  10.Equations with three Space Variables in Cartesian Coordinates  11.Equations with three space Variables in Cylindrical Coordinates  12.Equations with three space Variables in Spherical Coordinates  Conclusions  Appendix: Integrals  References
 Dimensions
 unknown
 Edition
 1st ed. 2015.
 Extent
 1 online resource (470 p.)
 Form of item
 online
 Isbn
 9783319179544
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783319179544
 Specific material designation
 remote
 System control number

 (CKB)3710000000444380
 (EBL)3567539
 (SSID)ssj0001534761
 (PQKBManifestationID)11876123
 (PQKBTitleCode)TC0001534761
 (PQKBWorkID)11494639
 (PQKB)11550427
 (DEHe213)9783319179544
 (MiAaPQ)EBC3567539
 (EXLCZ)993710000000444380
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/LinearFractionalDiffusionWaveEquationfor/wun0SANHVug/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/LinearFractionalDiffusionWaveEquationfor/wun0SANHVug/">Linear Fractional DiffusionWave Equation for Scientists and Engineers, by Yuriy Povstenko, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Linear Fractional DiffusionWave Equation for Scientists and Engineers, by Yuriy Povstenko, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/LinearFractionalDiffusionWaveEquationfor/wun0SANHVug/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/LinearFractionalDiffusionWaveEquationfor/wun0SANHVug/">Linear Fractional DiffusionWave Equation for Scientists and Engineers, by Yuriy Povstenko, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>