Modified Homotopy Perturbation Method for Solving Fractional Differential Equations
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-11-26
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The modified homotopy perturbation method is extended to derive the exact solutions for linear (nonlinear) ordinary (partial) differential equations of fractional order in fluid mechanics.
The fractional derivatives are taken in the Caputo sense.
This work will present a numerical comparison between the considered method and some other methods through solving various fractional differential equations in applied fields.
The obtained results reveal that this method is very effective and simple, accelerates the rapid convergence of the series solution, and reduces the size of work to only one iteration.
American Psychological Association (APA)
Hemeda, A. A.. 2014. Modified Homotopy Perturbation Method for Solving Fractional Differential Equations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1039744
Modern Language Association (MLA)
Hemeda, A. A.. Modified Homotopy Perturbation Method for Solving Fractional Differential Equations. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1039744
American Medical Association (AMA)
Hemeda, A. A.. Modified Homotopy Perturbation Method for Solving Fractional Differential Equations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1039744
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039744