The Resource Linear Fractional Diffusion-Wave Equation for Scientists and Engineers, by Yuriy Povstenko, (electronic resource)

Linear Fractional Diffusion-Wave Equation for Scientists and Engineers, by Yuriy Povstenko, (electronic resource)

Label
Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
Title
Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
Statement of responsibility
by Yuriy Povstenko
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
This book systematically presents solutions to the linear time-fractional diffusion-wave equation. It introduces the integral transform technique and discusses the properties of the Mittag-Leffler, Wright, and Mainardi functions that appear in the solutions. The time-nonlocal dependence between the flux and the gradient of the transported quantity with the “long-tail” power kernel results in the time-fractional diffusion-wave equation with the Caputo fractional derivative. Time-nonlocal 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 diffusion-wave 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
eJOd1zP-cy8
Language note
English
LC call number
QA370-380
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 Diffusion-Wave Equation for Scientists and Engineers, by Yuriy Povstenko, (electronic resource)
Instantiates
Publication
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
10.1007/978-3-319-17954-4
Specific material designation
remote
System control number
  • (CKB)3710000000444380
  • (EBL)3567539
  • (SSID)ssj0001534761
  • (PQKBManifestationID)11876123
  • (PQKBTitleCode)TC0001534761
  • (PQKBWorkID)11494639
  • (PQKB)11550427
  • (DE-He213)978-3-319-17954-4
  • (MiAaPQ)EBC3567539
  • (EXLCZ)993710000000444380
Label
Linear Fractional Diffusion-Wave Equation for Scientists and Engineers, by Yuriy Povstenko, (electronic resource)
Publication
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
10.1007/978-3-319-17954-4
Specific material designation
remote
System control number
  • (CKB)3710000000444380
  • (EBL)3567539
  • (SSID)ssj0001534761
  • (PQKBManifestationID)11876123
  • (PQKBTitleCode)TC0001534761
  • (PQKBWorkID)11494639
  • (PQKB)11550427
  • (DE-He213)978-3-319-17954-4
  • (MiAaPQ)EBC3567539
  • (EXLCZ)993710000000444380

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