Fundamental Solutions to Time-Fractional Advection Diffusion Equation in a Case of Two Space Variables
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-11
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The fundamental solutions to time-fractional advection diffusion equation in a plane and a half-plane are obtained using the Laplace integral transform with respect to time t and the Fourier transforms with respect to the space coordinates x and y.
The Cauchy, source, and Dirichlet problems are investigated.
The solutions are expressed in terms of integrals of Bessel functions combined with Mittag-Leffler functions.
Numerical results are illustrated graphically.
American Psychological Association (APA)
Povstenko, Y. Z.. 2014. Fundamental Solutions to Time-Fractional Advection Diffusion Equation in a Case of Two Space Variables. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-492011
Modern Language Association (MLA)
Povstenko, Y. Z.. Fundamental Solutions to Time-Fractional Advection Diffusion Equation in a Case of Two Space Variables. Mathematical Problems in Engineering No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-492011
American Medical Association (AMA)
Povstenko, Y. Z.. Fundamental Solutions to Time-Fractional Advection Diffusion Equation in a Case of Two Space Variables. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-492011
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492011