Analytical approach to linear fractional partial differential equations arising in fluid mechanics

In this Letter, we implement relatively new analytical techniques, the variational iteration method and the Adomian decomposition method, for solving linear fractional partial differential equations arising in fluid mechanics. The fractional derivatives are described in the Caputo sense. The two met...

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Bibliographic Details
Published in:Physics letters. A 2006-07, Vol.355 (4), p.271-279
Main Authors: Momani, Shaher, Odibat, Zaid
Format: Article
Language:English
Subjects:
Caputo derivative
Decomposition method
Fluid mechanics
Fractional differential equations
Variational iteration method
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Summary:In this Letter, we implement relatively new analytical techniques, the variational iteration method and the Adomian decomposition method, for solving linear fractional partial differential equations arising in fluid mechanics. The fractional derivatives are described in the Caputo sense. The two methods in applied mathematics can be used as alternative methods for obtaining analytic and approximate solutions for different types of fractional differential equations. In these methods, the solution takes the form of a convergent series with easily computable components. The corresponding solutions of the integer order equations are found to follow as special cases of those of fractional order equations. Some numerical examples are presented to illustrate the efficiency and reliability of the two methods.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2006.02.048