Linear Fractional Diffusion-Wave Equation for Scientists and Engineers

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Povstenko, Yuriy (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
Edición:1st ed. 2015.
Temas:
Differential equations.
Mathematical physics.
Differential Equations.
Mathematical Methods in Physics.
Mathematical Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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