Fundamental Solutions to Time-Fractional Advection Diffusion Equation in a Case of Two Space Variables

Author

Povstenko, Y. Z.

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

Civil Engineering

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