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Semianalytic Solution of Space-Time Fractional Diffusion Equation
Joint Authors
Elsaid, A.
Shamseldeen, S.
Madkour, S.
Source
International Journal of Differential Equations
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-08
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We study the space-time fractional diffusion equation with spatial Riesz-Feller fractional derivative and Caputo fractional time derivative.
The continuation of the solution of this fractional equation to the solution of the corresponding integer order equation is proved.
The series solution of this problem is obtained via the optimal homotopy analysis method (OHAM).
Numerical simulations are presented to validate the method and to show the effect of changing the fractional derivative parameters on the solution behavior.
American Psychological Association (APA)
Elsaid, A.& Shamseldeen, S.& Madkour, S.. 2016. Semianalytic Solution of Space-Time Fractional Diffusion Equation. International Journal of Differential Equations،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1105686
Modern Language Association (MLA)
Elsaid, A.…[et al.]. Semianalytic Solution of Space-Time Fractional Diffusion Equation. International Journal of Differential Equations No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1105686
American Medical Association (AMA)
Elsaid, A.& Shamseldeen, S.& Madkour, S.. Semianalytic Solution of Space-Time Fractional Diffusion Equation. International Journal of Differential Equations. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1105686
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1105686