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On the Singular Perturbations for Fractional Differential Equation
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The goal of this paper is to examine the possible extension of the singular perturbation differential equation to the concept of fractional order derivative.
To achieve this, we presented a review of the concept of fractional calculus.
We make use of the Laplace transform operator to derive exact solution of singular perturbation fractional linear differential equations.
We make use of the methodology of three analytical methods to present exact and approximate solution of the singular perturbation fractional, nonlinear, nonhomogeneous differential equation.
These methods are including the regular perturbation method, the new development of the variational iteration method, and the homotopy decomposition method.
American Psychological Association (APA)
Rusagara, Innocent. 2014. On the Singular Perturbations for Fractional Differential Equation. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1050911
Modern Language Association (MLA)
Rusagara, Innocent. On the Singular Perturbations for Fractional Differential Equation. The Scientific World Journal No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1050911
American Medical Association (AMA)
Rusagara, Innocent. On the Singular Perturbations for Fractional Differential Equation. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1050911
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1050911