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Similarity Solutions for Multiterm Time-Fractional Diffusion Equation
Joint Authors
Elsaid, A.
Abdel Latif, M. S.
Maneea, M.
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-11
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Similarity method is employed to solve multiterm time-fractional diffusion equation.
The orders of the fractional derivatives belong to the interval ( 0,1 ] and are defined in the Caputo sense.
We illustrate how the problem is reduced from a multiterm two-variable fractional partial differential equation to a multiterm ordinary fractional differential equation.
Power series solution is obtained for the resulting ordinary problem and the convergence of the series solution is discussed.
Based on the obtained results, we propose a definition for a multiterm error function with generalized coefficients.
American Psychological Association (APA)
Elsaid, A.& Abdel Latif, M. S.& Maneea, M.. 2016. Similarity Solutions for Multiterm Time-Fractional Diffusion Equation. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1095888
Modern Language Association (MLA)
Elsaid, A.…[et al.]. Similarity Solutions for Multiterm Time-Fractional Diffusion Equation. Advances in Mathematical Physics No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1095888
American Medical Association (AMA)
Elsaid, A.& Abdel Latif, M. S.& Maneea, M.. Similarity Solutions for Multiterm Time-Fractional Diffusion Equation. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1095888
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095888