Extension of Matched Asymptotic Method to Fractional Boundary Layers Problems
Joint Authors
Rusagara, Innocent
Doungmo Goufo, Emile Franc
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-11-20
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We were concerned with the description of the boundary layers problems within the scope of fractional calculus.
However, we will note that one of the main methods used to solve these problems is the matched asymptotic method.
We should mention that this was not achievable via the existing fractional derivative definitions, because they do not obey the chain rule.
In order to accommodate the matched asymptotic method to the scope of fractional derivative, we proposed a relatively new derivative called the beta-derivative.
We presented some useful information for this operator.
With the reward of this operator, we presented the idea of matched asymptotic method in finding solutions of the fractional boundary layers problems.
The method was illustrated with an example.
American Psychological Association (APA)
Rusagara, Innocent& Doungmo Goufo, Emile Franc. 2014. Extension of Matched Asymptotic Method to Fractional Boundary Layers Problems. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1044009
Modern Language Association (MLA)
Rusagara, Innocent& Doungmo Goufo, Emile Franc. Extension of Matched Asymptotic Method to Fractional Boundary Layers Problems. Mathematical Problems in Engineering No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1044009
American Medical Association (AMA)
Rusagara, Innocent& Doungmo Goufo, Emile Franc. Extension of Matched Asymptotic Method to Fractional Boundary Layers Problems. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1044009
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1044009